Numerical integration and Leonard Bernstein: Difference between pages

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[[Image:Integral as region under curve.svg|thumb|right|Numerical integration consists of finding numerical approximations to the value <math>S</math>]]
[[Image:Leonard Bernstein 1971.jpg|210px|thumb]]
In [[numerical analysis]], '''numerical integration''' constitutes a broad family of algorithms for calculating the numerical value of a definite [[integral]], and by extension, the term is also sometimes used to describe the [[numerical ordinary differential equations|numerical solution of differential equations]]. This article focuses on calculation of definite integrals. The term '''numerical quadrature''' (often abbreviated to ''quadrature'') is more or less a synonym for ''numerical integration'', especially as applied to one-dimensional integrals. Two- and higher-dimensional integration is sometimes described as '''cubature''', although the meaning of ''quadrature'' is understood for higher dimensional integration as well.
'''Leonard Bernstein''' ({{pronEng|ˈbɝːnstaɪn}} ''"BERN-stine"'';<ref>{{cite book
|last = Karlin
|first = Fred
|title = Listening to Movies 8)
|year = 1994
|publisher = Schirmer
|location = New York City
|pages = p. 264
|format = recording
}} Bernstein's pronunciation of his own name as he introduces his ''[[Peter and the Wolf]]''</ref> August 25, 1918 – October 14, 1990) was a multi-[[Emmy]]-winning <ref>http://www.imdb.com/name/nm0077086/awards</ref> American [[Conductor (music)|conductor]], [[composer]], author, music [[lecturer]] and [[Piano|pianist]]. He was the first conductor born and educated in the United States of America to receive world-wide acclaim. He is perhaps best known for his long conducting relationship with the [[New York Philharmonic]], which included the acclaimed ''[[Young People's Concerts]]'' series, and his compositions including ''[[West Side Story]]'', ''[[Candide (operetta)|Candide]]'', and ''[[On the Town (musical)|On the Town]].'' He is known to [[baby boomers]]{{Fact|date=October 2007}} primarily as the first [[classical music]] conductor to make many television appearances, all between 1954 and 1989. Additionally he had a formidable piano technique and was a highly respected composer. He is one of the most influential figures in the history of American classical music, championing the works of American composers and inspiring the careers of a generation of American musicians.


== Biography ==
The basic problem considered by numerical integration is to compute an approximate solution to a definite integral:
=== Childhood ===
Bernstein was born in [[Lawrence, Massachusetts]] in 1918 to a [[History of Jews in Poland|Polish-Jewish]] family. His grandmother insisted his first name be ''Louis'', but his parents always called him ''Leonard'', because they liked the name more. He had his name changed to ''Leonard'' officially when he was fifteen.<ref>{{cite book | last=Peyser | first=Joan | title=Bernstein, a biography | location=New York | publisher=Beech Tree Books
| date=1987 | isbn= 0-688-04918-4 | pages=p. 22-23}}</ref> His father, Sam Bernstein, was a businessman and initially opposed young Leonard's interest in music. Despite this, the elder Bernstein frequently took him to [[orchestra]] concerts. At a very young age, Bernstein listened to a [[piano]] performance and was immediately captivated; he subsequently began learning the [[piano]]. As a child, Bernstein attended the Garrison School and [[Boston Latin School]].<ref>Peyser (1987), p. 34</ref>Then he raped four girls.


=== University ===
:<math>\int_a^b\! f(x)\, dx.</math>
After graduation from [[Boston Latin School]] in 1934, Bernstein attended [[Harvard University]], where he studied music with [[Walter Piston]] and was briefly associated with the [[Harvard Glee Club]].<ref>Peyser (1987), p. 39–40</ref> One of his friends at Harvard was [[Donald Davidson]], considered one of the leading philosophers of the 20th century, with whom he played [[piano for four hands]]. Bernstein wrote and conducted the musical score for the production that Davidson mounted of [[Aristophanes]]' play ''[[The Birds (play)|The Birds]]'' in the original Greek. Some of this music was later to be reused in Bernstein's ballet ''Fancy Free''.


After completing his studies at Harvard, he enrolled at the [[Curtis Institute of Music]] in [[Philadelphia, Pennsylvania|Philadelphia]], where he received the only "A" grade [[Fritz Reiner]] ever awarded in his class on conducting. During his time at Curtis, Bernstein also studied piano with [[Isabelle Vengerova|Isabella Vengerova]],<ref>Peyser (1987), p. 38–9</ref> orchestration with [[Randall Thompson]], counterpoint with [[Richard Stöhr]], and score reading with [[Renée Longy Miquelle]].<ref>{{cite web|url=http://www.leonardbernstein.com/lifeswork/timeline/timeline01.asp|title=Bernstein Chronology}}</ref>
If ''f''(''x'') is a smooth well-behaved function, integrated over a small number of dimensions and the limits of integration are bounded, there are many excellent methods of approximating the integral with arbitrary precision.


=== Adult life ===
==Reasons for numerical integration==
During his young adult years in [[New York City]], Bernstein enjoyed an exuberant social life that included relationships with both men and women. After a long internal struggle and a turbulent on-and-off engagement, he married Chilean actress [[Felicia Montealegre Cohn]] on September 9, 1951, reportedly in order to increase his chances of obtaining the chief conducting position with the Boston Symphony Orchestra. [[Dimitri Mitropoulos]], conductor of the New York Philharmonic and Bernstein's mentor, advised him that marrying would help counter the gossip about him and appease the conservative [[Boston Symphony Orchestra|BSO]] board. <ref>Burton, ''Leonard Bernstein'')</ref>


Leonard and Felicia had three children, Jamie, Alexander, and Nina.<ref>Peyser (1987), p. 196, 204, 322</ref> During his married life, Bernstein tried to be as discreet as possible with his extramarital liaisons. But as he grew older, and as the [[Gay Liberation]] movement made great strides, Bernstein became more emboldened, eventually leaving Felicia to live with his lover Tom Cothran. Some time after, Bernstein learned that his wife was diagnosed with [[lung cancer]]. Bernstein moved back in with his wife and cared for her until she died. <ref>Burton, ''Leonard Bernstein'')</ref>
There are several reasons for carrying out numerical integration.
The integrand ''f(x)'' may be known only at certain points,
such as obtained by [[sampling (statistics)|sampling]].
Some [[embedded systems]] and other computer applications may need numerical integration for this reason.


It has been suggested that Bernstein was actually [[bisexual]]—an assertion supported by comments that Bernstein himself made about not preferring any particular cuisine, musical genre, or form of sex—and it has been alleged that he was conflicted between his devotion to his family and his gay desires, but [[Arthur Laurents]] (Bernstein's collaborator in ''[[West Side Story]]''), said that Bernstein was simply "a gay man who got married. He wasn't conflicted about it at all. He was just gay." <ref>Charles Kaiser, “The Gay Metropolis, New York City: 1940–1996"</ref> Shelly Rhoades Perle, another friend of Bernstein’s, said that she thought "he required men sexually and women emotionally". <ref>Meryle Secrest, “Leonard Bernstein: A Life”</ref>
A formula for the integrand may be known, but it may be difficult or impossible to find an [[antiderivative]] which is an [[elementary function]]. An example of such an integrand is ''f(x)'' = exp(−''x''<sup>''2''</sup>), the antiderivative of which cannot be written in [[elementary form]].


==Black Panther Fundraiser==
It may be possible to find an antiderivative symbolically, but it may be easier to compute a numerical approximation than to compute the antiderivative. That may be the case if the antiderivative is given as an infinite series or product, or if its evaluation requires a [[special function]] which is not available.


In [[Tom Wolfe]]'s book ''[[Radical Chic & Mau-Mauing the Flak Catchers]]'', the first piece is set in the composer [[Leonard Bernstein]]'s duplex on [[Park Avenue (Manhattan)|Park Avenue]] in [[Manhattan]]. Bernstein assembled many of his wealthy socialite friends to meet with representatives of the controversial [[Black Panther Party|Black Panthers]] and discuss ways to help their cause.<ref name="Wolfe">{{Cite web | url = http://www.tomwolfe.com/RadicalChic.html | title =Radical Chic & Mau-Mauing the Flak Catchers | work = Tomwolfe.com | accessdate = 2007-07-22}}</ref> The party was a typical affair for Bernstein, a longtime [[Democratic Party (United States)|Democrat]], who was known for hosting civil rights leaders at such parties.<ref name="Bernstein">{{Cite news | work = [[The New York Times]] | date = 1990-10-15 | title = Leonard Bernstein, 72, Music's Monarch, Dies | author = Donal Henahan}}</ref>
==Methods for one-dimensional integrals==


The Bernsteins could not be seen with their usual black butler and maid, so they hired white South Americans to serve the party.<ref name="JSH">{{Cite journal | journal = [[Journal of Social History]] | year = 1999 | volume = 33 | issue = 2 | author = Lasch-Quinn, Elisabeth | title = How to Behave Sensitively: Prescriptions for Interracial Conduct from the 1960s to the 1990s | doi = 10.1353/jsh.1999.0064 | pages = 409}}</ref> Bernstein's elite friends and guests (including Oscar-nominated director [[Otto Preminger]] and television reporter [[Barbara Walters]]) are labeled the "radical chic," as Wolfe characterizes them as pursuing radical ends for social reasons, partially because organizations like the [[National Association for the Advancement of Colored People]] had become too mainstream.<ref name="Time">{{Cite news | url = http://www.time.com/time/magazine/article/0,9171,904627,00.html? | work = [[Time Magazine]] | title = Fish in the Brandy Snifter | date = 1970-12-21 | author = Timothy Foote}}</ref> Wolfe's criticism is implicitly of the general phenomena of white guilt and armchair agitation becoming facets of high fashion.<ref name="FT">{{Cite news | work = [[Financial Times]] | date = 1983-04-09 | title = Cry Wolfe; The Purple Decades by Tom Wolfe.}}</ref>
Numerical integration methods can generally be described as combining evaluations of the integrand to get an approximation to the integral.
An important part of the analysis of any numerical integration method is to study the behavior of the approximation error as a function of the number of integrand evaluations.
A method which yields a small error for a small number of evaluations is usually considered superior.
Reducing the number of evaluations of the integrand reduces the number of arithmetic operations involved,
and therefore reduces the total [[round-off error]].
Also,
each evaluation takes time, and the integrand may be arbitrarily complicated.


[[New York Magazine]] featured the incident, in an issue subsequently deemed by the [[American Society of Magazine Editors|ASME]]'s one of the Top 40 Magazine Covers of the Last 40 Years. ([http://www.magazine.org/Editorial/Top_40_Covers/16996.cfm see #35]) In a [[60 Minutes]] interview with [[Mike Wallace]] Bernstein is reportedly exasperated by the interest in this event.
A 'brute force' kind of numerical integration can be done, if the integrand is reasonably well-behaved (i.e. [[piecewise]] [[continuous function|continuous]] and of [[bounded variation]]), by evaluating the integrand with very small increments.


== Career ==
=== Quadrature rules based on interpolating functions ===
[[Image:Bernstein, Leonard (1918-1990) - 1944 - foto van Vechten2.jpg|thumb|right|200px|Bernstein in 1944]]
Bernstein was very highly regarded as a conductor, composer, and educator, and probably best known to the public as longtime [[music director]] of the [[New York Philharmonic]], for conducting concerts by many of the world's leading orchestras, and for writing the music for ''[[West Side Story]].'' He wrote three [[symphony|symphonies]], two [[opera]]s, five [[musical theater|musical]]s, and numerous other pieces.


[[Image:Leonard Bernstein NYWTS 1945.jpg|thumb|200|left|Bernstein conducting the New York City Symphony (1945)]]
A large class of quadrature rules can be derived by constructing [[interpolation|interpolating]] functions which are easy to integrate. Typically these interpolating functions are [[polynomial]]s.
[[Image:Integration rectangle.png|right|frame|Illustration of the rectangle rule.]]
The simplest method of this type is to let the interpolating function be a constant function (a polynomial of order zero) which passes through the point ((''a''+''b'')/2, ''f''((''a''+''b'')/2)). This is called the ''midpoint rule'' or ''[[rectangle method|rectangle rule]]''.


In 1940, he began his study at the [[Boston Symphony Orchestra]]'s summer institute, [[Tanglewood]], under the orchestra's conductor, [[Serge Koussevitzky]]. Bernstein later became Koussevitzky's conducting assistant.<ref>
:<math>\int_a^b f(x)\,dx \approx (b-a) \, f\left(\frac{a+b}{2}\right).</math>
{{cite web
|url = http://www.leonardbernstein.com/about.php
|title = About Bernstein
|publisher = Leonard Bernstein Official Site
|accessdate = 2007-01-15
}}</ref> He would later dedicate his ''[[Symphony No. 2 (Bernstein)|Symphony No. 2]]'' to Koussevitzky.<ref>
{{cite web
|url = http://www.sonyclassical.com/artists/bernstein/bio.html
|title = Leonard Bernstein - Biography
|publisher = Sony Classical
|accessdate = 2007-01-15
}}</ref>


On November 14, 1943, having recently been appointed assistant conductor of the New York Philharmonic Orchestra, he made his conducting debut on last-minute notification, and without any rehearsal, after [[Bruno Walter]] came down with the flu. The next day, ''The New York Times'' editorial remarked, "It's a good American success story. The warm, friendly triumph of it filled Carnegie Hall and spread far over the air waves."<ref name="MAR 6250">
[[Image:Calkowanie_numeryczne-metoda_trapezow.png|right|frame|Illustration of the trapezoidal rule. ]]
{{cite
The interpolating function may be an [[affine function]] (a polynomial of degree 1)
|author = Deems Taylor
which passes through the points (''a'', ''f''(''a'')) and (''b'', ''f''(''b'')).
|title = Pathétique
This is called the ''[[trapezoidal rule]]''.
|publisher = Music-Appreciation Records
|date= 2007-07-25
}}</ref>He was an immediate success and became instantly famous because the concert was nationally broadcast. The soloist on that historic day was [[Joseph Schuster]], solo cellist of the New York Philharmonic, who played [[Richard Strauss]]'s [[Don Quixote]]. Because Bernstein had never conducted the work before, Bruno Walter coached him on it prior to the concert. It is possible to hear this remarkable event thanks to a transcription recording made from the CBS radio broadcast that has since been issued on CD.


After [[World War II]], Bernstein's career on the international stage began to flourish. In 1946, he conducted his first opera, the American première of [[Benjamin Britten]]'s ''[[Peter Grimes]]'', which had been a Koussevitzky commission. In 1949, he conducted the world première of the ''[[Turangalîla-Symphonie]]'' by [[Olivier Messiaen]], and when Koussevitzky died two years later, Bernstein became head of the orchestral and conducting departments at Tanglewood, holding this position for many years.
:<math>\int_a^b f(x)\,dx \approx (b-a) \, \frac{f(a) + f(b)}{2}.</math>


In 1951, Bernstein conducted the New York Philharmonic in the world première of the ''[[Symphony No. 2 (Ives)|Symphony No. 2]]'' of [[Charles Ives]]. The composer, old and frail, was unable to attend the concert, but listened to the broadcast on the radio with his wife, Harmony. Both of them marveled at the enthusiastic reception of his music, which had actually been written between 1897 and 1901, but until then had never been performed. Bernstein did much to promote the music of this American composer throughout his career. Ives died in 1954. Bernstein was also a visiting music professor in the early 1950s and was the founder/head of the Creative Arts Festivals at [[Brandeis University]] from 1952 onward.<ref>The Official Leonard Bernstein Web Site. http://www.leonardbernstein.com/about.php</ref> The festival was named after him in 2005, becoming the Leonard Bernstein Festival of the Creative Arts.
[[Image:Integration simpson.png|right|frame|Illustration of Simpson's rule.]]
For either one of these rules, we can make a more accurate approximation by breaking up the interval [''a'', ''b''] into some number ''n'' of subintervals, computing an approximation for each subinterval, then adding up all the results. This is called a ''composite rule'', ''extended rule'', or ''iterated rule''. For example, the composite trapezoidal rule can be stated as


Bernstein was named Music Director of the [[New York Philharmonic]] in 1957 and began his tenure in that position in 1958, a post he held until 1969, although he continued to conduct and make recordings with that orchestra for the rest of his life. He became a well-known figure in the US through his series of fifty-three televised [[Young People's Concerts]] for [[CBS]], which grew out of his ''Omnibus'' programs that CBS aired in the early 1950s. His first Young People's Concert was televised only a few weeks after his tenure as principal conductor of the New York Philharmonic began. He became as famous for his educational work in those concerts as for his conducting. Some of his music lectures were released on records, with several of these albums winning [[Grammy]] awards. To this day, the ''Young People's Concerts'' series remains the longest-running group of classical music programs ever shown on commercial television. They ran from 1958 to 1972. More than thirty years later, twenty-five of them were rebroadcast on the now-defunct cable channel [[Trio (TV network)|Trio]] and were released on [[DVD]].
:<math>\int_a^b f(x)\,dx \approx \frac{b-a}{n} \left( {f(a) + f(b) \over 2} + \sum_{k=1}^{n-1} f \left( a+k \frac{b-a}{n} \right) \right)</math>


In 1947, Bernstein conducted in [[Tel Aviv]] for the first time, beginning a life-long association with Israel. In 1957, he conducted the inaugural concert of the [[Mann Auditorium]] in Tel Aviv; he subsequently made many recordings there. In 1967, he conducted a concert on [[Mt. Scopus]] to commemorate the reunification of [[Jerusalem]]. During the 1970s, Bernstein recorded most of his own symphonic music with the Israel Philharmonic.
where the subintervals have the form [''k'' ''h'', (''k''+1) ''h''], with ''h'' = (''b''−''a'')/''n'' and ''k'' = 0, 1, 2, ..., ''n''−1.


[[Image:Leonard Bernstein NYWTS 1955.jpg|thumb|Bernstein at the piano, making annotations to a musical score]]
Interpolation with polynomials evaluated at equally-spaced points in [''a'', ''b''] yields the [[Newton–Cotes formulas]], of which the rectangle rule and the trapezoidal rule are examples. [[Simpson's rule]], which is based on a polynomial of order 2, is also a Newton–Cotes formula.


In 1959, he took the New York Philharmonic on a tour of Europe and the Soviet Union, portions of which were filmed by [[CBS]]. A major highlight of the tour was Bernstein's performance of [[Shostakovich]]'s fifth symphony, in the presence of the composer, who came on stage at the end to congratulate Bernstein and the musicians. In October, when Bernstein and the orchestra returned to New York, they recorded the symphony for Columbia. He made two recordings of Shostakovich's ''[[Leningrad Symphony]]'', one with the New York Philharmonic in the 1960s, and another one in 1988 with the [[Chicago Symphony Orchestra]], the only recording he ever made with them (along with Shostakovich's Symphony No. 1, also recorded live in concerts at Orchestra Hall in Chicago at that time).
Quadrature rules with equally-spaced points have the very convenient property of <em>nesting</em>. The corresponding rule with each interval subdivided includes all the current points, so those integrand values can be re-used.


In 1960, Bernstein began the first complete cycle of recordings in stereo of all nine completed symphonies by [[Gustav Mahler]], with the blessings of the composer's widow, Alma. The success of these recordings, along with Bernstein's concert performances, greatly revived interest in Mahler, who had briefly been music director of the New York Philharmonic late in his life.
If we allow the intervals between interpolation points to vary, we find another group of quadrature formulas, such as the [[Gaussian quadrature]] formulas. A Gaussian quadrature rule is typically more accurate than a Newton–Cotes rule which requires the same number of function evaluations, if the integrand is smooth (i.e., if it has many [[derivative]]s.) Other quadrature methods with varying intervals include [[Clenshaw–Curtis quadrature]] (also called Fejér quadrature) methods.
That same year, Bernstein conducted an LP of his own score for the 1944 musical ''[[On the Town (musical)|On The Town]]'', in stereo, the first such recording of the score ever made, for [[Columbia Masterworks Records]]. Unlike his later recordings of his own musicals, this was originally issued as a single LP rather than a 2-record set. It was later issued on CD. The recording featured several members of the original Broadway cast, including [[Betty Comden]] and [[Adolph Green]].


In one storied incident, in April 1962, Bernstein appeared on stage before a performance of the Brahms D Minor Concerto Op. 15. The soloist was the legendary pianist [[Glenn Gould]]. During rehearsals, Gould had argued for tempi much broader than normal, which did not reflect Bernstein's concept of the music. Bernstein gave a brief address to the audience stating,
Gaussian quadrature rules do not nest, but the related [[Gauss–Kronrod quadrature formula]]s do. Clenshaw–Curtis rules nest.


:"Don't be frightened; Mr.Gould is here. (audience laughter) He will appear in a moment. I'm not- um- as you know in the habit of speaking on any concert except the Thursday-night previews, but a curious situation has arisen, which merits, I think, a word or two. You are about to hear a rather, shall we say, unorthodox performance of the Brahms D Minor Concerto, a performance distinctly different from any I've ever heard, or even dreamt of for that matter, in its remarkably broad tempi and its frequent departures from Brahms' dynamic indications. I cannot say I am in total agreement with Mr. Gould's conception, and this raises the interesting question: "What am I doing conducting it?" (mild laughter from the audience). I'm conducting it because Mr. Gould is so valid and serious an artist that I must take seriously anything he conceives in good faith, and his conception is interesting enough so that I feel you should hear it, too.
=== Adaptive algorithms ===
{{details|Adaptive quadrature}}


:But the age old question still remains: "In a concerto, who is the boss (audience laughter)—the soloist or the conductor?" (Audience laughter grows louder). The answer is, of course, sometimes the one and sometimes the other, depending on the people involved. But almost always, the two manage to get together by persuasion or charm or even threats (audience laughs) to achieve a unified performance. I have only once before in my life, had to submit to a soloist's wholly new and incompatible concept and that was the last time I accompanied Mr. Gould (audience laughs loudly). But, but THIS time, the discrepancies between our views are so great that I feel I must make this small disclaimer. Then why, to repeat the question, am I conducting it? Why do I not make a minor scandal—get a substitute soloist, or let an assistant conduct it? Because I am FASCINATED, glad to have the chance for a new look at this much-played work; because, what's more, there are moments in Mr. Gould's performance that emerge with astonishing freshness and conviction. Thirdly, because we can ALL learn something from this extraordinary artist who is a THINKING performer, and finally because there IS in music what Dimitri Mitropoulos used to call "the SPORTIVE element" (mild audience laughter) that FACTOR of curiosity, adventure, experiment, and I can assure you that it HAS been an adventure this week (audience laughter) collaborating with Mr. Gould on this Brahms concerto, and it's in this spirit of adventure that we now present it to you."
If ''f(x)'' does not have many derivatives at all points, or if the derivatives become large, then Gaussian quadrature is often insufficient. In this case, an algorithm similar to the following will perform better:


This speech was subsequently interpreted by [[Harold Schonberg]], music critic for the ''New York Times'', as abdication of personal responsibility and an attack on Gould, but Bernstein always denied that this had been his intent, and has stated that he made these remarks with Gould's blessing <ref>Glenn Gould: Variations, Ed. John McGreevy </ref>. Throughout his life, he professed enormous admiration and personal friendship for Gould.
// This algorithm calculates the definite integral of a function
// from 0 to 1, adaptively, by choosing smaller steps near
// problematic points.
// Set initial_h to the initial step size.
x:=0
h:=initial_h
accumulator:=0
WHILE x<1.0 DO
IF x+h>1.0 THEN
h=1.0-x
END IF
IF error in quadrature of f(x) over [x,x+h] is too large THEN
Make h smaller
ELSE
accumulator:=accumulator + quadrature of f over [x,x+h]
x:=x+h
IF error in quadrature of f(x) over [x,x+h] is very small THEN
Make h larger
END IF
END IF
END WHILE
RETURN accumulator
<!-- omission from algo, no calculation of error -->


During his New York Philharmonic directorship, Bernstein was also responsible for introducing the symphonies of the Danish composer [[Carl Nielsen]] to American audiences, leading to a revival of interest in this composer whose reputation had previously been mostly regional. Bernstein recorded three of Nielsen's symphonies (Nos. 2, 4, and 5) with the Philharmonic, and he recorded the composer's 3rd Symphony with a Danish orchestra after a critically acclaimed public performance there.
Some details of the algorithm require careful thought. For many cases, estimating the error from quadrature over an interval for a function ''f(x)'' isn't obvious. One popular solution is to use two different rules of quadrature, and use their difference as an estimate of the error from quadrature. The other problem is deciding what "too large" or "very small" signify. A <em>local</em> criterion for "too large" is that the quadrature error should not be larger than <math>t\cdot h</math> where ''t'', a real number, is the tolerance we wish to set for global error. Then again, if ''h'' is already tiny, it may not be worthwhile to make it even smaller even if the quadrature error is apparently large. A <em>global</em> criterion is that the sum of errors on all the intervals should be less than ''t''. This type of error analysis is usually called "a posteriori" since we compute the error after having computed the approximation.


In 1966, he made his debut at the [[Vienna State Opera]] conducting [[Luchino Visconti]]'s production of Verdi's ''[[Falstaff (opera)|Falstaff]]'', with [[Dietrich Fischer-Dieskau]] as Falstaff. In 1970, he returned to the State Opera for [[Otto Schenk]]'s production of Beethoven's ''[[Fidelio]]''. Sixteen years later, at the State Opera, Bernstein conducted his sequel to ''Trouble in Tahiti'', ''A Quiet Place''. Bernstein's final farewell to the State Opera happened accidentally in 1989: Following a performance of [[Modest Mussorgsky]]'s ''Khovanchina'', he unexpectedly entered the stage and embraced conductor [[Claudio Abbado]] in front of a stunned, but cheering, audience.
Heuristics for adaptive quadrature are discussed by Forsythe et al. (Section 5.4).


Beginning in 1970, Bernstein conducted the [[Vienna Philharmonic Orchestra]], with which he re-recorded many of the pieces that he had previously taped with the [[New York Philharmonic]], including sets of the complete symphonies of [[Ludwig van Beethoven|Beethoven]], [[Johannes Brahms|Brahms]] and [[Robert Schumann|Schumann]]. Some of the Mahler symphony recordings from Bernstein's second cycle for Deutsche Grammophon were also made with the Vienna Philharmonic.
=== Extrapolation methods ===


Later that year, Bernstein wrote and narrated a ninety-minute program filmed on location in and around Vienna, featuring the Vienna Philharmonic with such artists as [[Plácido Domingo]], who in his first television appearance performed as the tenor soloist in ''[[Beethoven's Ninth]]''. The program, first telecast in 1970 on [[Austria]]n and [[United Kingdom|British]] television, and then on CBS on [[Christmas Eve]] 1971, was intended as a celebration of Beethoven's 200th birthday. The show made extensive use of the rehearsals and finished performance of the Otto Schenk production of ''Fidelio''. Originally entitled ''Beethoven's Birthday: A Celebration in Vienna'', the show, which won an Emmy, was telecast only once on U.S. commercial television, and it remained in CBS's vaults, until it resurfaced on [[A&E Network|A&E]] shortly after Bernstein's death—under the new title ''Bernstein on Beethoven: A Celebration in Vienna''. It was immediately issued on [[VHS]] under that title, and in 2005 was issued on [[DVD]].
The accuracy of a quadrature rule of the Newton-Cotes type is generally a function of the number of evaluation points.
The result is usually more accurate as number of evaluation points increases,
or, equivalently, as the width of the step size between the points decreases.
It is natural to ask what the result would be if the step size were allowed to approach zero.
This can be answered by extrapolating the result from two or more nonzero step sizes (see [[Richardson extrapolation]]).
The extrapolation function may be a [[polynomial]] or [[rational function]].
Extrapolation methods are described in more detail by Stoer and Bulirsch (Section 3.4).


Bernstein was invited in 1973 to the [[Charles Eliot Norton]] Chair as Professor of Poetry at his alma mater, Harvard University, to deliver a series of six lectures on music. Borrowing the title from a Charles Ives work, he called the series "The Unanswered Question"; it is a set of interdisciplinary lectures in which he borrows terminology from contemporary linguistics to analyze and compare musical construction to language. Three years later, in 1976, the entire series of videotaped lectures was telecast on PBS. The lectures survive in both book and DVD form today. [[Noam Chomsky]] wrote in 2007 on the Znet forums about the linguistic aspects of the lecture: ''I spent some time with Bernstein during the preparation and performance of the lectures. My feeling was that he was on to something, but I couldn't really judge how significant it was.''
=== Conservative (a priori) error estimation ===


In 1978, the Otto Schenk ''Fidelio'', with Bernstein still conducting, but featuring a different cast, was filmed by Unitel. Like the program ''Bernstein on Beethoven'', it also was shown on A&E after his death and subsequently issued on VHS. Although the video has since long been out-of-print, it was released for the first time on DVD by [[Deutsche Grammophon]] in late 2006.
Let ''f'' have a bounded first derivative over [''a'',''b'']. The [[mean value theorem]] for ''f'', where <math>x < b</math>, gives


In May of 1978, the Israel Philharmonic played two US concerts under his direction to celebrate the 30th anniversary of the founding of the Orchestra under that name. On consecutive nights, the Orchestra performed Beethoven's Ninth Symphony and Bernstein's Chichester Psalms at the Kennedy Center in Washington, D.C., and at Carnegie Hall in NYC.
: <math>(x - a) f'(y_x) = f(x) - f(a)\,</math>


In 1979, Bernstein conducted the [[Berlin Philharmonic Orchestra]] for the first and only time, in two charity concerts. The performance, of Mahler's [[Symphony No. 9 (Mahler)|Ninth Symphony]], was broadcast on radio and was posthumously released on CD.
for some ''y<sub>x</sub>'' in [''a'',''x''] depending on ''x''. If we integrate in ''x'' from ''a'' to ''b'' on both sides and take the absolute values, we obtain


He received the [[Kennedy Center Honors]] award in 1980.
: <math>\left| \int_a^b f(x)\,dx - (b - a) f(a) \right|
= \left| \int_a^b (x - a) f'(y_x)\, dx \right|</math>
On [[PBS]] in the 1980s, he was the conductor and commentator for a special series on Beethoven's music, which featured the Vienna Philharmonic playing all nine Beethoven symphonies, several of his overtures, one of the string quartets arranged for the full string section of the Vienna Philharmonic, and the [[Missa Solemnis (Beethoven)|Missa Solemnis]]. Actor [[Maximilian Schell]] was also featured on the program, reading from Beethoven's letters.


In 1982, he and [[Ernest Fleischmann]] founded the [[Los Angeles Philharmonic Institute]], where he served as Artistic Director through 1984.
We can further approximate the integral on the right-hand side by bringing the absolute value into the integrand, and replacing the term in ''f' '' by an upper bound:


Leonard Bernstein was a regular guest conductor of The [[Royal Concertgebouw Orchestra]] in Amsterdam. In the eighties he recorded, among other pieces, Mahler's first, second, fourth and ninth symphonies with them.
: <math>\left| \int_a^b f(x)\,dx - (b - a) f(a) \right| \leq {(b - a)^2 \over 2} \sup_{a \leq x \leq b} \left| f'(x) \right|</math> (**)


In 1985, he conducted a complete recording of his score for ''West Side Story'' for the first and only time. The recording, much criticized for featuring what critics felt were miscast opera singers such as [[Kiri te Kanawa]], [[Jose Carreras]], and [[Tatiana Troyanos]] in the leading roles, was nevertheless a national bestseller.
(See [[supremum]].) Hence, if we approximate the integral ∫<sub>''a''</sub><sup>''b''</sup>''f''(''x'')d''x'' by the quadrature rule (''b''−''a'')''f''(''a'') our error is no greater than the right hand side of (**). We can convert this into an error analysis for the Riemann sum (*), giving an upper bound of


In 1989, Bernstein again conducted and recorded another complete performance of one of his musicals, again featuring opera singers rather than Broadway stars. This time it was ''Candide'', and because the show was always intended to be an [[operetta]], the recording made from it was much more warmly received. The performance was released posthumously on CD (in 1991). It starred [[Jerry Hadley]], [[June Anderson]], Adolph Green, and [[Christa Ludwig]] in the leading roles. The ''Candide'' recording, unlike the ''West Side Story'' one, also included previously discarded numbers from the show.
: <math>{n^{-1} \over 2} \sup_{0 \leq x \leq 1} \left| f'(x) \right|</math>


A TV documentary of the ''West Side Story'' recording sessions was made in 1985, and the ''Candide'' recording was made live, in concert. This concert was eventually telecast posthumously.
for the error term of that particular approximation. (Note that this is precisely the error we calculated for the example <math>f(x) = x</math>.) Using more derivatives, and by tweaking the quadrature, we can do a similar error analysis using a [[Taylor series]] (using a partial sum with remainder term) for ''f''. This error analysis gives a strict upper bound on the error, if the derivatives of ''f'' are available.


On Christmas Day, December 25, 1989, Bernstein conducted the ''[[Beethoven]] [[Symphony No. 9 (Beethoven)|Symphony No. 9]]'' in [[East Berlin]]'s ''Schauspielhaus'' (Playhouse) as part of a celebration of the fall of the [[Berlin Wall]]. The concert was broadcast live in more than twenty countries to an estimated audience of 100 million people. For the occasion, Bernstein reworded [[Friedrich Schiller]]'s text of the ''[[Ode to Joy]]'', substituting the word ''Freiheit'' (freedom) for ''Freude'' (joy).<ref name="Naxos 2072038">{{cite web
This integration method can be combined with [[interval arithmetic]] to produce [[computer proof]]s and ''verified'' calculations.
|url=http://www.naxos.com/catalogue/item.asp?item_code=2072038
| title = ''Ode To Freedom - Beethoven: Symphony No. 9'' (NTSC)
| author = Naxos
| authorlink = Naxos Records
| year = 2006
| work = Naxos.com Classical Music Catalogue
| accessdate = 2006-11-26 }}</ref> Bernstein, in the introduction to the program, said that they had "taken the liberty" of doing this because of a "most likely phony" story, apparently believed in some quarters, that Schiller wrote an "Ode to Freedom" that is now presumed lost. Bernstein's comment was, 'I'm sure that Beethoven would have given us his blessing."


Bernstein was highly regarded as a conductor among many musicians, including the members of the Vienna Philharmonic Orchestra, evidenced by his honorary membership, the [[London Symphony Orchestra]], of which he was President, and the [[Israel Philharmonic Orchestra]], with whom he appeared regularly as guest conductor. He was considered especially accomplished with the works of [[Gustav Mahler]]; with his own compositions; with American composers [[Aaron Copland]], [[Charles Ives]], [[William Schuman]], and [[George Gershwin]]. His recordings of [[Rhapsody in Blue]] (full-orchestra version) and [[An American in Paris]] with the Philharmonic, released in 1959, are considered definitive by many, although, for reasons unknown, Bernstein would always cut the ''Rhapsody'' slightly. Unfortunately, he never conducted a performance of Gershwin's [[Concerto in F (Gershwin)|Piano Concerto in F]], nor did he ever conduct ''[[Porgy and Bess]]''. However, he did discuss ''Porgy'' in his article, ''Why Don't You Run Upstairs and Write a Nice Gershwin Tune?'', originally published in the [[New York Times]] and later reprinted in his 1959 book ''The Joy of Music''.
== Multidimensional integrals ==


He had a gift for rehearsing an entire Mahler symphony by acting out every phrase for the orchestra to convey the precise meaning, and of emitting a vocal manifestation of the effect required, with a subtly professional ear that missed nothing.
The quadrature rules discussed so far are all designed to compute one-dimensional integrals.
To compute integrals in multiple dimensions,
one approach is to phrase the multiple integral as repeated one-dimensional integrals by appealing to [[Fubini's theorem]].
This approach requires the function evaluations to [[exponential growth|grow exponentially]] as the number of dimensions increases. Two methods are known to overcome this so-called ''[[curse of dimensionality]]''.


Bernstein influenced many conductors who are performing now, such as [[Marin Alsop]], [[Alexander Frey]], [[John Mauceri]], [[Seiji Ozawa]], [[Carl St.Clair]], and [[Michael Tilson Thomas]]. Ozawa made his first network television debut as guest conductor on one of the ''Young People's Concerts''.
=== Monte Carlo ===


Bernstein conducted his final performance at [[Tanglewood]] on August 19, 1990, with the Boston Symphony playing [[Benjamin Britten]]'s "Four Sea Interludes" and [[Ludwig van Beethoven|Beethoven]]'s [[Symphony No. 7 (Beethoven)|Seventh Symphony]].<ref>{{cite web
{{main|Monte Carlo integration}}
|url = http://writersalmanac.publicradio.org/programs/2003/08/25
|title = The Writer's Almanac
|publisher = American Public Media
|author = Garrison Keillor
|date = August 25, 2003
|accessdate = 2007-01-17
}}</ref> He suffered a coughing fit in the middle of the Beethoven performance which almost caused the concert to break down. The concert was later issued on CD by Deutsche Grammophon.


He died of [[pneumonia]] and a pleural tumor just five days after retiring. A longtime heavy smoker, he had battled [[emphysema]] from his mid-20s. On the day of his funeral procession through the streets of Manhattan, construction workers removed their hats and waved, yelling "Goodbye Lenny."<ref>''American Masters'' documentary, PBS</ref> Bernstein is buried in [[Green-Wood Cemetery]], [[Brooklyn, New York]].
[[Monte Carlo method]]s and [[quasi-Monte Carlo method]]s are easy to apply to multi-dimensional integrals,
and may yield greater accuracy for the same number of function evaluations than repeated integrations using one-dimensional methods.


=== Recordings ===
A large class of useful Monte Carlo methods are the so-called [[Markov chain Monte Carlo]] algorithms,
Bernstein recorded extensively from the 1950s until just a few months before his death. Aside from a few early recordings in the mid-1940s for [[RCA Victor]], Bernstein recorded primarily for [[Columbia Masterworks Records]], especially when he was music director of the New York Philharmonic. Many of these performances have been digitally remastered and reissued by [[Sony]] as part of the "Royal Edition" and "Bernstein Century" series. His later recordings (1976 onwards) were mostly made for [[Deutsche Grammophon]], though he would occasionally return to the Columbia Masterworks label. Notable exceptions include recordings of [[Gustav Mahler]]'s [[Das Lied von der Erde|Song of the Earth]] and [[Wolfgang Amadeus Mozart|Mozart]]'s [[Piano Concerto No. 15 (Mozart)|15th piano concerto]] and [[Symphony No. 36 (Mozart)|"Linz" symphony]] with the [[Vienna Philharmonic Orchestra]] for [[Decca Records]] (1966), [[Hector Berlioz|Berlioz]]' ''[[Symphonie Fantastique]]'' (1976) for [[EMI]] and [[Richard Wagner|Wagner]]'s ''[[Tristan und Isolde]]'' (1981) for [[Philips Records]], a label joint with Deutsche Grammophon as [[PolyGram]] at that time.
which include the [[Metropolis-Hastings algorithm]] and [[Gibbs sampling]].


In August 2008, [[Sony BMG Masterworks]] released a 10-disc set of Bernstein's recordings of his own works as a composer, ''The Original Jacket Collection: Bernstein Conducts Bernstein'' <ref>{{cite web|url=http://www.amazon.com/Original-Jacket-Collection-Bernstein-Conducts/dp/B001BN1V8K/ref=sr_1_1?ie=UTF8&s=music&qid=1219119183&sr=8-1|title=Amazon Listing}}</ref>, which heralds [http://www.bernsteinfestival.org the Bernstein Festival] and [http://www.carnegiehall.org/bernstein/mass/index.aspx the Bernstein Mass Project]. [[Carnegie Hall]] and the [[New York Philharmonic]]’s three-month program of events, entitled ''Bernstein: The Best of All Possible Worlds'', pays tribute to each aspect of Bernstein’s legacy with 50 concerts and education events. 2008 also marks the 65th anniversary of Bernstein’s historic Carnegie Hall debut.
=== Sparse grids ===
[[Sparse grid]]s were originally developed by Smolyak for the quadrature of high dimensional functions. The method is always based on a one dimensional quadrature rule, but performs a more sophisticated combination of univariate results.


<!-- == Media ==
== Connection with differential equations ==
{{multi-listen start}}
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{{multi-listen item|filename=Bernstein- Symphonic Dances from West Side Story - 2 Mambo.ogg|title=Symphonic Dances from West Side Story - Mambo|description=[[Mambo]] from [[West Side Story]]|format=[[Ogg]]}}
{{multi-listen item|filename=Bernstein- Symphonic Dances from West Side Story - 3 Cha-Cha.ogg|title=Symphonic Dances from West Side Story - Cha-cha|description=[[Cha-cha]] from [[West Side Story]]|format=[[Ogg]]}}
{{multi-listen item|filename=Bernstein- Symphonic Dances from West Side Story - 4 Fugue.ogg|title=Symphonic Dances from West Side Story - Fugue|description=[[Fugue]] from [[West Side Story]]|format=[[Ogg]]}}
{{multi-listen end}} -->


== Awards ==
The problem of evaluating the integral
{{main|List of Leonard Bernstein awards}}
:<math>\int_a^b f(x)\, dx</math>
can be reduced to an [[initial value problem]] for an [[ordinary differential equation]]. If the above integral is denoted by ''I''(''b''), then the function ''I'' satisfies
:<math> I'(x) = f(x), \quad I(a) = 0. </math>
Methods developed for ordinary differential equations, such as [[Runge–Kutta methods]], can be applied to the restated problem and thus be used to evaluate the integral.


* [[Ditson Conductor's Award]], 1958
This differential equation has a special form: the right-hand side contains only the dependent variable (here ''x'') and not the independent variable (here ''I''). This suggests that specific methods can be developed for the evaluation of an integral, and that these methods can work better than general methods for the initial value problem for differential equations. This is indeed the case, and in the remainder of this article, we shall discuss these specific methods.
* [[Sonning Award]] (1965; [[Denmark]])
* [[George Peabody Medal]] - [[Johns Hopkins University]]
* [[Grammy Award for Best Album for Children]]
* [[Grammy Award for Best Orchestral Performance]]
* [[Grammy Award for Best Choral Performance]]
* [[Grammy Award for Best Opera Recording]]
* [[Grammy Award for Best Classical Vocal Performance]]
* [[Grammy Award for Best Instrumental Soloist(s) Performance (with orchestra)|Grammy Award for Best Instrumental Soloist(s) Performance]]
* [[Grammy Award for Best Classical Contemporary Composition]]
* [[Grammy Award for Best Classical Album]]
* [[Grammy Lifetime Achievement Award]]
* [[Tony Award for Best Musical]]
* [[Special Tony Award]]


== Principal works ==
== Software for numerical integration ==
=== Musical theatre ===
*''[[Fancy Free]]'' (ballet), 1944
*''[[On the Town (musical)|On the Town]]'' (musical), 1944
*''[[Facsimile (ballet)|Facsimile]]'' (ballet), 1946
*''[[Peter Pan (1950 musical)|Peter Pan]]'' (songs, incidental music), 1950
*''[[Trouble in Tahiti]]'' (opera in one act), 1952
*''[[Wonderful Town]]'' (musical), 1953
*''[[On the Waterfront]]'' (film score), 1954
*''[[L'Alouette (The Lark)|The Lark]]'' (incidental music), 1955
*''[[Candide (musical)|Candide]]'' (operetta), 1956 (new libretto in 1973, operetta revised in 1989)
*''[[West Side Story]]'' (musical), 1957
*''[[Christopher Fry|The Firstborn]] (incidental music), 1958
*''[[Mass (theatre)|Mass]]'' (theatre piece for singers, players and dancers), 1971
*''[[Dybbuk (Bernstein)|Dybbuk]]'' (ballet), 1974
*''[[1600 Pennsylvania Avenue (musical)|1600 Pennsylvania Avenue]]'', 1976
*''The Madwoman of Central Park West'' (songs), 1979
*''[[A Quiet Place]]'' (opera in two acts), 1983
*''[[The Race to Urga]]'' (musical), 1987


=== Orchestral ===
Numerical integration is one of the most intensively studied problems in numerical analysis.
*[[Symphony No. 1 (Bernstein)|Symphony No. 1]], ''Jeremiah'', 1942
Of the many software implementations we list a few here.
*''Fancy Free'' and ''Three Dance Variations from "Fancy Free,"'', concert premiere 1946
*''Three Dance Episodes from "On the Town,"'' concert premiere 1947
*[[Symphony No. 2 (Bernstein)|Symphony No. 2]], ''The Age of Anxiety'', (after [[W. H. Auden]]) for Piano and Orchestra, 1949 (revised in 1965)
*''[[Serenade for Solo Violin, Strings, Harp and Percussion (after Plato's "Symposium")]]'', 1954
*''[[Prelude, Fugue, and Riffs]]'' for Solo Clarinet and Jazz Ensemble, 1949
*''Symphonic Suite from "On the Waterfront"'', 1955
*''Symphonic Dances from "West Side Story"'', 1961
*[[Symphony No. 3 (Bernstein)|Symphony No. 3]], ''[[Kaddish]]'', for Orchestra, Mixed Chorus, Boys' Choir, Speaker and Soprano Solo, 1963 (revised in 1977)
*''[[Dybbuk (Bernstein)|Dybbuk]]'', Suites No. 1 and 2 for Orchestra, concert premieres 1975
*''[[Songfest: A Cycle of American Poems for Six Singers and Orchestra]]'', 1977
*''Three Meditations from "Mass"'' for Violoncello and Orchestra, 1977
*''Slava!: A Political Overture for Orchestra, 1977
*''Divertimento for Orchestra'', 1980
*''Halil'', nocturne for Solo Flute, Piccolo, Alto Flute, Percussion, Harp and Strings, 1981
*''Concerto for Orchestra'', 1989 (Originally ''Jubilee Games'' from 1986, revised in 1989)


=== Choral ===
* QUADPACK (part of SLATEC): description [http://www.netlib.org/slatec/src/qpdoc.f], source code [http://www.netlib.org/slatec/src]. QUADPACK is a collection of algorithms, in Fortran, for numerical integration based on Gaussian quadrature.
*''Hashkiveinu'' for Solo Tenor, Mixed Chorus and Organ, 1945
* [http://www.gnu.org/software/gsl/ GSL]: The GNU Scientific Library (GSL) is a numerical library written in C which provides a wide range of mathematical routines, like Monte Carlo integration.
*''Missa Brevis'' for Mixed Chorus and Countertenor Solo, with Percussion, 1988
* Numerical integration algorithms are found in [[Guide to Available Mathematical Software|GAMS]] class [http://gams.nist.gov/serve.cgi/Class/H2 H2].
*''[[Chichester Psalms]]'' for Boy Soprano (or Countertenor), Mixed Chorus, Organ, Harp and Percussion, 1965
* [http://www.alglib.net/integral/ ALGLIB] is a collection of algorithms, in C# / C++ / Delphi / Visual Basic / etc., for numerical integration.

=== Chamber music ===
*Piano Trio, 1937, [[Boosey & Hawkes]]
*[[Sonata for Clarinet and Piano (Bernstein)|Sonata for Clarinet and Piano]], 1939
*Brass Music, 1959
*Dance Suite, 1988

=== Vocal music===
*''I Hate Music: A cycle of Five Kids Songs for Soprano and Piano'', 1943
*''La Bonne Cuisine: Four Recipes for Voice and Piano'', 1948
*''Arias and Barcarolles'' for Mezzo-Soprano, Baritone and Piano four-hands, 1988
*''A Song Album'', 1988
*''Big Stuff'', sung by Billie Holiday

=== Other music ===
*Various piano pieces
*Other occasional works, written as gifts and other forms of memorial and tribute
*"The Skin of Our Teeth": An aborted work from which Bernstein took material to use in his "Chichester Psalms"

=== Bibliography===
====By Bernstein====
*{{cite book | last=Bernstein | first=Leonard | title=Findings | location=New York | publisher=Anchor Books | year=1993 | origyear=1982 | isbn=038542437X}}
*{{cite book | last=Bernstein | first=Leonard | title=The Infinite Variety of Music | location= New York | publisher=Anchor Books | year=1993 | origyear=1966| isbn=0385424388}}
*{{cite book | last=Bernstein | first=Leonard | title=The Joy of Music | location=Pompton Plains, New Jersey | publisher=Amadeus Press | year=2004 | origyear=1959 | isbn=1574671049}}
*{{cite book | last=Bernstein | first=Leonard | title=Young People's Concerts | location=Milwaukee; Cambridge | publisher=Amadeus Press | year=2006 |origyear=1962 | isbn=1574671022}}
* Bernstein, Leonard. [1976] [http://www.hup.harvard.edu/catalog/BERUNX.html ''The Unanswered Question: Six Talks at Harvard''], [[Harvard University Press]]. | ISBN 0-674-92001-5.

====About Bernstein====
*{{cite book | last=Burton | first=Humphrey | title=Leonard Bernstein | location=New York | publisher=Doubleday | year=1994 | isbn=0385423454}}
*{{cite book | last=Gottlieb | first=Jack (ed.) | title=Leonard Bernstein's Young People's Concerts | edition=(revised) | location=New York | publisher=Anchor Books | year=1992 | isbn=0385424353}}

=== Videography ===
*''The Unanswered Question: Six Talks at Harvard''. West Long Branch, NJ: Kultur Video. VHS ISBN 1561275700. DVD ISBN 0769715702. (film of the [[Charles Eliot Norton Lectures]] given at Harvard in 1973.)
*''Leonard Bernstein's Young People's Concerts with the New York Philharmonic''. West Long Branch, NJ: Kultur Video. DVD ISBN 0769715036.


== References ==
== References ==
{{Reflist|2}}
*{{cite book | last=Chapin | first=Schuyler || title= Leonard Bernstein: Notes from a friend | location=New York | publisher=Walker | year=1992 | isbn=0802712169 }}
*{{cite book | last=Rozen | first=Brian D. | title=The contributions of Leonard Bernstein to music education: an analysis of his 53 Young people's concerts. Thesis (Ph. D.) | location=Rochester, New York | publisher=University of Rochester | year=1997 | oclc=48156751}}

== External links ==

{{Commons|Leonard Bernstein}}

{{Wikiquote}}

{{Portal|Ballet}}
*[http://www.leonardbernstein.com/ Leonard Bernstein Official Site]
*[http://www.leonardbernstein.com/lifeswork/discography/ Discography]
*[http://memory.loc.gov/ammem/lbhtml/lbpg01.html The Leonard Bernstein Collection] at the [[Library of Congress|Library of Congress Music Division]]
*{{MusicBrainz artist|id=fa39bc82-9b27-4bbb-9425-d719a72e09ac|name=Leonard Bernstein}}
*[http://www.sonybmgmasterworks.com/artists/leonardbernstein/ Discography at SonyBMG Masterworks]
*[http://fas-www.harvard.edu/~musicdpt/bernsteinindex.htm Bernstein's Boston], a [[Harvard University]] research project
* [http://www.brandeis.edu/arts/festival/ Leonard Bernstein Festival of the Creative Arts]
*[http://www.fyne.co.uk/index.php?item=215 Gay Great - Leonard Bernstein]
*''[http://www.tomwolfe.com/RadicalChic.html Radical Chic]'', a book by [[Tom Wolfe]] describing a gathering at Bernstein's apartment of New York's social elite and the [[Black Panther Party]].
*[http://www.classicalnotes.net/features/bernstein.html Leonard Bernstein: A Total Embrace of Music], written by [[Peter Gutmann (Washington, D.C.)|Peter Gutmann]], music [[journalist]].
*[http://www.spingal.plus.com Arias and Barcarolles, The Leonard Bernstein Pages]
*{{ibdb name | id=7257| name=Leonard Bernstein}}
* [http://www.tapuz.co.il/blog/ViewEntry.asp?EntryId=1130063 Leonard Bernstein's maximum card from Israel]
* [http://www.bellperc.com/pages/repertoire.php?composer=36 Bernstein's Percussion Repertoire], from Bell Percussion's Composer Repertoire resource
*[http://www.nytimes.com/learning/general/onthisday/bday/0825.html Obituary, NY Times, October 15, 1990]


{{Léonie Sonning Music Prize laureates}}
* [[Philip J. Davis]] and [[Philip Rabinowitz (mathematician)|Philip Rabinowitz]], ''Methods of Numerical Integration''.
{{Musicals and operas of Leonard Bernstein}}
* George E. Forsythe, Michael A. Malcolm, and Cleve B. Moler. ''Computer Methods for Mathematical Computations''. Englewood Cliffs, NJ: Prentice-Hall, 1977. ''(See Chapter 5.)''
{{NYPhil music directors}}
* William H. Press, Brian P. Flannery, Saul A. Teukolsky, William T. Vetterling. ''[[Numerical Recipes|Numerical Recipes in C]]''. Cambridge, UK: Cambridge University Press, 1988. ''(See Chapter 4.)''
* Josef Stoer and Roland Bulirsch. ''Introduction to Numerical Analysis''. New York: Springer-Verlag, 1980. ''(See Chapter 3.)''
* [[Jon M. Smith]] ''Recent Developments in Numerical Integration'', J. Dynam. Sys., Measurement and Control 96, Ser. G-1, No. 1, 61-70, Mar. 1974.


<!-- Metadata: see [[Wikipedia:Persondata]] -->
==External links==
* [http://numericalmethods.eng.usf.edu/mws/gen/07int/index.html Integration: Background, Simulations, etc.] at Holistic Numerical Methods Institute


{{Persondata
[[Category:Numerical analysis]]
|NAME= Bernstein, Leonard
[[Category:Numerical integration (quadrature)|*]]
|ALTERNATIVE NAMES= Bernstein, Louis
|SHORT DESCRIPTION= [[Composer]], [[conducting|conductor]], [[pedagogue]], [[piano|pianist]], writer
|DATE OF BIRTH= August 25, 1918
|PLACE OF BIRTH= [[Lawrence, Massachusetts]], United States
|DATE OF DEATH= October 14, 1990
|PLACE OF DEATH=[[New York City]], [[New York]], U.S.
}}
{{DEFAULTSORT:Bernstein, Leonard}}
[[Category:1918 births]]
[[Category:1990 deaths]]
[[Category:20th century classical composers]]
[[Category:American classical pianists]]
[[Category:American composers]]
[[Category:American conductors]]
[[Category:American film score composers]]
[[Category:American musical theatre composers]]
[[Category:Bisexual musicians]]
[[Category:Burials at Green-Wood Cemetery]]
[[Category:George Peabody Medal winners]]
[[Category:Grammy Award winners]]
[[Category:Grammy Lifetime Achievement Award winners]]
[[Category:Ashkenazi Jews]]
[[Category:Jewish American musicians]]
[[Category:Jewish classical musicians]]
[[Category:Jewish composers and songwriters]]
[[Category:LGBT composers]]
[[Category:LGBT Jews]]
[[Category:LGBT musicians from the United States]]
[[Category:Opera composers]]
[[Category:People from Lawrence, Massachusetts]]
[[Category:Picasso Medalists]]
[[Category:Royal Philharmonic Society Gold Medallists]]
[[Category:Songwriters Hall of Fame inductees]]
[[Category:Ukrainian Jews]]
[[Category:Kennedy Center honorees]]
[[Category:Ballet composers]]
[[Category:Harvard University alumni]]


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Revision as of 22:59, 12 October 2008

Leonard Bernstein (Template:PronEng "BERN-stine";[1] August 25, 1918 – October 14, 1990) was a multi-Emmy-winning [2] American conductor, composer, author, music lecturer and pianist. He was the first conductor born and educated in the United States of America to receive world-wide acclaim. He is perhaps best known for his long conducting relationship with the New York Philharmonic, which included the acclaimed Young People's Concerts series, and his compositions including West Side Story, Candide, and On the Town. He is known to baby boomers[citation needed] primarily as the first classical music conductor to make many television appearances, all between 1954 and 1989. Additionally he had a formidable piano technique and was a highly respected composer. He is one of the most influential figures in the history of American classical music, championing the works of American composers and inspiring the careers of a generation of American musicians.

Biography

Childhood

Bernstein was born in Lawrence, Massachusetts in 1918 to a Polish-Jewish family. His grandmother insisted his first name be Louis, but his parents always called him Leonard, because they liked the name more. He had his name changed to Leonard officially when he was fifteen.[3] His father, Sam Bernstein, was a businessman and initially opposed young Leonard's interest in music. Despite this, the elder Bernstein frequently took him to orchestra concerts. At a very young age, Bernstein listened to a piano performance and was immediately captivated; he subsequently began learning the piano. As a child, Bernstein attended the Garrison School and Boston Latin School.[4]Then he raped four girls.

University

After graduation from Boston Latin School in 1934, Bernstein attended Harvard University, where he studied music with Walter Piston and was briefly associated with the Harvard Glee Club.[5] One of his friends at Harvard was Donald Davidson, considered one of the leading philosophers of the 20th century, with whom he played piano for four hands. Bernstein wrote and conducted the musical score for the production that Davidson mounted of Aristophanes' play The Birds in the original Greek. Some of this music was later to be reused in Bernstein's ballet Fancy Free.

After completing his studies at Harvard, he enrolled at the Curtis Institute of Music in Philadelphia, where he received the only "A" grade Fritz Reiner ever awarded in his class on conducting. During his time at Curtis, Bernstein also studied piano with Isabella Vengerova,[6] orchestration with Randall Thompson, counterpoint with Richard Stöhr, and score reading with Renée Longy Miquelle.[7]

Adult life

During his young adult years in New York City, Bernstein enjoyed an exuberant social life that included relationships with both men and women. After a long internal struggle and a turbulent on-and-off engagement, he married Chilean actress Felicia Montealegre Cohn on September 9, 1951, reportedly in order to increase his chances of obtaining the chief conducting position with the Boston Symphony Orchestra. Dimitri Mitropoulos, conductor of the New York Philharmonic and Bernstein's mentor, advised him that marrying would help counter the gossip about him and appease the conservative BSO board. [8]

Leonard and Felicia had three children, Jamie, Alexander, and Nina.[9] During his married life, Bernstein tried to be as discreet as possible with his extramarital liaisons. But as he grew older, and as the Gay Liberation movement made great strides, Bernstein became more emboldened, eventually leaving Felicia to live with his lover Tom Cothran. Some time after, Bernstein learned that his wife was diagnosed with lung cancer. Bernstein moved back in with his wife and cared for her until she died. [10]

It has been suggested that Bernstein was actually bisexual—an assertion supported by comments that Bernstein himself made about not preferring any particular cuisine, musical genre, or form of sex—and it has been alleged that he was conflicted between his devotion to his family and his gay desires, but Arthur Laurents (Bernstein's collaborator in West Side Story), said that Bernstein was simply "a gay man who got married. He wasn't conflicted about it at all. He was just gay." [11] Shelly Rhoades Perle, another friend of Bernstein’s, said that she thought "he required men sexually and women emotionally". [12]

Black Panther Fundraiser

In Tom Wolfe's book Radical Chic & Mau-Mauing the Flak Catchers, the first piece is set in the composer Leonard Bernstein's duplex on Park Avenue in Manhattan. Bernstein assembled many of his wealthy socialite friends to meet with representatives of the controversial Black Panthers and discuss ways to help their cause.[13] The party was a typical affair for Bernstein, a longtime Democrat, who was known for hosting civil rights leaders at such parties.[14]

The Bernsteins could not be seen with their usual black butler and maid, so they hired white South Americans to serve the party.[15] Bernstein's elite friends and guests (including Oscar-nominated director Otto Preminger and television reporter Barbara Walters) are labeled the "radical chic," as Wolfe characterizes them as pursuing radical ends for social reasons, partially because organizations like the National Association for the Advancement of Colored People had become too mainstream.[16] Wolfe's criticism is implicitly of the general phenomena of white guilt and armchair agitation becoming facets of high fashion.[17]

New York Magazine featured the incident, in an issue subsequently deemed by the ASME's one of the Top 40 Magazine Covers of the Last 40 Years. (see #35) In a 60 Minutes interview with Mike Wallace Bernstein is reportedly exasperated by the interest in this event.

Career

Bernstein in 1944

Bernstein was very highly regarded as a conductor, composer, and educator, and probably best known to the public as longtime music director of the New York Philharmonic, for conducting concerts by many of the world's leading orchestras, and for writing the music for West Side Story. He wrote three symphonies, two operas, five musicals, and numerous other pieces.

Bernstein conducting the New York City Symphony (1945)

In 1940, he began his study at the Boston Symphony Orchestra's summer institute, Tanglewood, under the orchestra's conductor, Serge Koussevitzky. Bernstein later became Koussevitzky's conducting assistant.[18] He would later dedicate his Symphony No. 2 to Koussevitzky.[19]

On November 14, 1943, having recently been appointed assistant conductor of the New York Philharmonic Orchestra, he made his conducting debut on last-minute notification, and without any rehearsal, after Bruno Walter came down with the flu. The next day, The New York Times editorial remarked, "It's a good American success story. The warm, friendly triumph of it filled Carnegie Hall and spread far over the air waves."[20]He was an immediate success and became instantly famous because the concert was nationally broadcast. The soloist on that historic day was Joseph Schuster, solo cellist of the New York Philharmonic, who played Richard Strauss's Don Quixote. Because Bernstein had never conducted the work before, Bruno Walter coached him on it prior to the concert. It is possible to hear this remarkable event thanks to a transcription recording made from the CBS radio broadcast that has since been issued on CD.

After World War II, Bernstein's career on the international stage began to flourish. In 1946, he conducted his first opera, the American première of Benjamin Britten's Peter Grimes, which had been a Koussevitzky commission. In 1949, he conducted the world première of the Turangalîla-Symphonie by Olivier Messiaen, and when Koussevitzky died two years later, Bernstein became head of the orchestral and conducting departments at Tanglewood, holding this position for many years.

In 1951, Bernstein conducted the New York Philharmonic in the world première of the Symphony No. 2 of Charles Ives. The composer, old and frail, was unable to attend the concert, but listened to the broadcast on the radio with his wife, Harmony. Both of them marveled at the enthusiastic reception of his music, which had actually been written between 1897 and 1901, but until then had never been performed. Bernstein did much to promote the music of this American composer throughout his career. Ives died in 1954. Bernstein was also a visiting music professor in the early 1950s and was the founder/head of the Creative Arts Festivals at Brandeis University from 1952 onward.[21] The festival was named after him in 2005, becoming the Leonard Bernstein Festival of the Creative Arts.

Bernstein was named Music Director of the New York Philharmonic in 1957 and began his tenure in that position in 1958, a post he held until 1969, although he continued to conduct and make recordings with that orchestra for the rest of his life. He became a well-known figure in the US through his series of fifty-three televised Young People's Concerts for CBS, which grew out of his Omnibus programs that CBS aired in the early 1950s. His first Young People's Concert was televised only a few weeks after his tenure as principal conductor of the New York Philharmonic began. He became as famous for his educational work in those concerts as for his conducting. Some of his music lectures were released on records, with several of these albums winning Grammy awards. To this day, the Young People's Concerts series remains the longest-running group of classical music programs ever shown on commercial television. They ran from 1958 to 1972. More than thirty years later, twenty-five of them were rebroadcast on the now-defunct cable channel Trio and were released on DVD.

In 1947, Bernstein conducted in Tel Aviv for the first time, beginning a life-long association with Israel. In 1957, he conducted the inaugural concert of the Mann Auditorium in Tel Aviv; he subsequently made many recordings there. In 1967, he conducted a concert on Mt. Scopus to commemorate the reunification of Jerusalem. During the 1970s, Bernstein recorded most of his own symphonic music with the Israel Philharmonic.

Bernstein at the piano, making annotations to a musical score

In 1959, he took the New York Philharmonic on a tour of Europe and the Soviet Union, portions of which were filmed by CBS. A major highlight of the tour was Bernstein's performance of Shostakovich's fifth symphony, in the presence of the composer, who came on stage at the end to congratulate Bernstein and the musicians. In October, when Bernstein and the orchestra returned to New York, they recorded the symphony for Columbia. He made two recordings of Shostakovich's Leningrad Symphony, one with the New York Philharmonic in the 1960s, and another one in 1988 with the Chicago Symphony Orchestra, the only recording he ever made with them (along with Shostakovich's Symphony No. 1, also recorded live in concerts at Orchestra Hall in Chicago at that time).

In 1960, Bernstein began the first complete cycle of recordings in stereo of all nine completed symphonies by Gustav Mahler, with the blessings of the composer's widow, Alma. The success of these recordings, along with Bernstein's concert performances, greatly revived interest in Mahler, who had briefly been music director of the New York Philharmonic late in his life. That same year, Bernstein conducted an LP of his own score for the 1944 musical On The Town, in stereo, the first such recording of the score ever made, for Columbia Masterworks Records. Unlike his later recordings of his own musicals, this was originally issued as a single LP rather than a 2-record set. It was later issued on CD. The recording featured several members of the original Broadway cast, including Betty Comden and Adolph Green.

In one storied incident, in April 1962, Bernstein appeared on stage before a performance of the Brahms D Minor Concerto Op. 15. The soloist was the legendary pianist Glenn Gould. During rehearsals, Gould had argued for tempi much broader than normal, which did not reflect Bernstein's concept of the music. Bernstein gave a brief address to the audience stating,

"Don't be frightened; Mr.Gould is here. (audience laughter) He will appear in a moment. I'm not- um- as you know in the habit of speaking on any concert except the Thursday-night previews, but a curious situation has arisen, which merits, I think, a word or two. You are about to hear a rather, shall we say, unorthodox performance of the Brahms D Minor Concerto, a performance distinctly different from any I've ever heard, or even dreamt of for that matter, in its remarkably broad tempi and its frequent departures from Brahms' dynamic indications. I cannot say I am in total agreement with Mr. Gould's conception, and this raises the interesting question: "What am I doing conducting it?" (mild laughter from the audience). I'm conducting it because Mr. Gould is so valid and serious an artist that I must take seriously anything he conceives in good faith, and his conception is interesting enough so that I feel you should hear it, too.
But the age old question still remains: "In a concerto, who is the boss (audience laughter)—the soloist or the conductor?" (Audience laughter grows louder). The answer is, of course, sometimes the one and sometimes the other, depending on the people involved. But almost always, the two manage to get together by persuasion or charm or even threats (audience laughs) to achieve a unified performance. I have only once before in my life, had to submit to a soloist's wholly new and incompatible concept and that was the last time I accompanied Mr. Gould (audience laughs loudly). But, but THIS time, the discrepancies between our views are so great that I feel I must make this small disclaimer. Then why, to repeat the question, am I conducting it? Why do I not make a minor scandal—get a substitute soloist, or let an assistant conduct it? Because I am FASCINATED, glad to have the chance for a new look at this much-played work; because, what's more, there are moments in Mr. Gould's performance that emerge with astonishing freshness and conviction. Thirdly, because we can ALL learn something from this extraordinary artist who is a THINKING performer, and finally because there IS in music what Dimitri Mitropoulos used to call "the SPORTIVE element" (mild audience laughter) that FACTOR of curiosity, adventure, experiment, and I can assure you that it HAS been an adventure this week (audience laughter) collaborating with Mr. Gould on this Brahms concerto, and it's in this spirit of adventure that we now present it to you."

This speech was subsequently interpreted by Harold Schonberg, music critic for the New York Times, as abdication of personal responsibility and an attack on Gould, but Bernstein always denied that this had been his intent, and has stated that he made these remarks with Gould's blessing [22]. Throughout his life, he professed enormous admiration and personal friendship for Gould.

During his New York Philharmonic directorship, Bernstein was also responsible for introducing the symphonies of the Danish composer Carl Nielsen to American audiences, leading to a revival of interest in this composer whose reputation had previously been mostly regional. Bernstein recorded three of Nielsen's symphonies (Nos. 2, 4, and 5) with the Philharmonic, and he recorded the composer's 3rd Symphony with a Danish orchestra after a critically acclaimed public performance there.

In 1966, he made his debut at the Vienna State Opera conducting Luchino Visconti's production of Verdi's Falstaff, with Dietrich Fischer-Dieskau as Falstaff. In 1970, he returned to the State Opera for Otto Schenk's production of Beethoven's Fidelio. Sixteen years later, at the State Opera, Bernstein conducted his sequel to Trouble in Tahiti, A Quiet Place. Bernstein's final farewell to the State Opera happened accidentally in 1989: Following a performance of Modest Mussorgsky's Khovanchina, he unexpectedly entered the stage and embraced conductor Claudio Abbado in front of a stunned, but cheering, audience.

Beginning in 1970, Bernstein conducted the Vienna Philharmonic Orchestra, with which he re-recorded many of the pieces that he had previously taped with the New York Philharmonic, including sets of the complete symphonies of Beethoven, Brahms and Schumann. Some of the Mahler symphony recordings from Bernstein's second cycle for Deutsche Grammophon were also made with the Vienna Philharmonic.

Later that year, Bernstein wrote and narrated a ninety-minute program filmed on location in and around Vienna, featuring the Vienna Philharmonic with such artists as Plácido Domingo, who in his first television appearance performed as the tenor soloist in Beethoven's Ninth. The program, first telecast in 1970 on Austrian and British television, and then on CBS on Christmas Eve 1971, was intended as a celebration of Beethoven's 200th birthday. The show made extensive use of the rehearsals and finished performance of the Otto Schenk production of Fidelio. Originally entitled Beethoven's Birthday: A Celebration in Vienna, the show, which won an Emmy, was telecast only once on U.S. commercial television, and it remained in CBS's vaults, until it resurfaced on A&E shortly after Bernstein's death—under the new title Bernstein on Beethoven: A Celebration in Vienna. It was immediately issued on VHS under that title, and in 2005 was issued on DVD.

Bernstein was invited in 1973 to the Charles Eliot Norton Chair as Professor of Poetry at his alma mater, Harvard University, to deliver a series of six lectures on music. Borrowing the title from a Charles Ives work, he called the series "The Unanswered Question"; it is a set of interdisciplinary lectures in which he borrows terminology from contemporary linguistics to analyze and compare musical construction to language. Three years later, in 1976, the entire series of videotaped lectures was telecast on PBS. The lectures survive in both book and DVD form today. Noam Chomsky wrote in 2007 on the Znet forums about the linguistic aspects of the lecture: I spent some time with Bernstein during the preparation and performance of the lectures. My feeling was that he was on to something, but I couldn't really judge how significant it was.

In 1978, the Otto Schenk Fidelio, with Bernstein still conducting, but featuring a different cast, was filmed by Unitel. Like the program Bernstein on Beethoven, it also was shown on A&E after his death and subsequently issued on VHS. Although the video has since long been out-of-print, it was released for the first time on DVD by Deutsche Grammophon in late 2006.

In May of 1978, the Israel Philharmonic played two US concerts under his direction to celebrate the 30th anniversary of the founding of the Orchestra under that name. On consecutive nights, the Orchestra performed Beethoven's Ninth Symphony and Bernstein's Chichester Psalms at the Kennedy Center in Washington, D.C., and at Carnegie Hall in NYC.

In 1979, Bernstein conducted the Berlin Philharmonic Orchestra for the first and only time, in two charity concerts. The performance, of Mahler's Ninth Symphony, was broadcast on radio and was posthumously released on CD.

He received the Kennedy Center Honors award in 1980.

On PBS in the 1980s, he was the conductor and commentator for a special series on Beethoven's music, which featured the Vienna Philharmonic playing all nine Beethoven symphonies, several of his overtures, one of the string quartets arranged for the full string section of the Vienna Philharmonic, and the Missa Solemnis. Actor Maximilian Schell was also featured on the program, reading from Beethoven's letters.

In 1982, he and Ernest Fleischmann founded the Los Angeles Philharmonic Institute, where he served as Artistic Director through 1984.

Leonard Bernstein was a regular guest conductor of The Royal Concertgebouw Orchestra in Amsterdam. In the eighties he recorded, among other pieces, Mahler's first, second, fourth and ninth symphonies with them.

In 1985, he conducted a complete recording of his score for West Side Story for the first and only time. The recording, much criticized for featuring what critics felt were miscast opera singers such as Kiri te Kanawa, Jose Carreras, and Tatiana Troyanos in the leading roles, was nevertheless a national bestseller.

In 1989, Bernstein again conducted and recorded another complete performance of one of his musicals, again featuring opera singers rather than Broadway stars. This time it was Candide, and because the show was always intended to be an operetta, the recording made from it was much more warmly received. The performance was released posthumously on CD (in 1991). It starred Jerry Hadley, June Anderson, Adolph Green, and Christa Ludwig in the leading roles. The Candide recording, unlike the West Side Story one, also included previously discarded numbers from the show.

A TV documentary of the West Side Story recording sessions was made in 1985, and the Candide recording was made live, in concert. This concert was eventually telecast posthumously.

On Christmas Day, December 25, 1989, Bernstein conducted the Beethoven Symphony No. 9 in East Berlin's Schauspielhaus (Playhouse) as part of a celebration of the fall of the Berlin Wall. The concert was broadcast live in more than twenty countries to an estimated audience of 100 million people. For the occasion, Bernstein reworded Friedrich Schiller's text of the Ode to Joy, substituting the word Freiheit (freedom) for Freude (joy).[23] Bernstein, in the introduction to the program, said that they had "taken the liberty" of doing this because of a "most likely phony" story, apparently believed in some quarters, that Schiller wrote an "Ode to Freedom" that is now presumed lost. Bernstein's comment was, 'I'm sure that Beethoven would have given us his blessing."

Bernstein was highly regarded as a conductor among many musicians, including the members of the Vienna Philharmonic Orchestra, evidenced by his honorary membership, the London Symphony Orchestra, of which he was President, and the Israel Philharmonic Orchestra, with whom he appeared regularly as guest conductor. He was considered especially accomplished with the works of Gustav Mahler; with his own compositions; with American composers Aaron Copland, Charles Ives, William Schuman, and George Gershwin. His recordings of Rhapsody in Blue (full-orchestra version) and An American in Paris with the Philharmonic, released in 1959, are considered definitive by many, although, for reasons unknown, Bernstein would always cut the Rhapsody slightly. Unfortunately, he never conducted a performance of Gershwin's Piano Concerto in F, nor did he ever conduct Porgy and Bess. However, he did discuss Porgy in his article, Why Don't You Run Upstairs and Write a Nice Gershwin Tune?, originally published in the New York Times and later reprinted in his 1959 book The Joy of Music.

He had a gift for rehearsing an entire Mahler symphony by acting out every phrase for the orchestra to convey the precise meaning, and of emitting a vocal manifestation of the effect required, with a subtly professional ear that missed nothing.

Bernstein influenced many conductors who are performing now, such as Marin Alsop, Alexander Frey, John Mauceri, Seiji Ozawa, Carl St.Clair, and Michael Tilson Thomas. Ozawa made his first network television debut as guest conductor on one of the Young People's Concerts.

Bernstein conducted his final performance at Tanglewood on August 19, 1990, with the Boston Symphony playing Benjamin Britten's "Four Sea Interludes" and Beethoven's Seventh Symphony.[24] He suffered a coughing fit in the middle of the Beethoven performance which almost caused the concert to break down. The concert was later issued on CD by Deutsche Grammophon.

He died of pneumonia and a pleural tumor just five days after retiring. A longtime heavy smoker, he had battled emphysema from his mid-20s. On the day of his funeral procession through the streets of Manhattan, construction workers removed their hats and waved, yelling "Goodbye Lenny."[25] Bernstein is buried in Green-Wood Cemetery, Brooklyn, New York.

Recordings

Bernstein recorded extensively from the 1950s until just a few months before his death. Aside from a few early recordings in the mid-1940s for RCA Victor, Bernstein recorded primarily for Columbia Masterworks Records, especially when he was music director of the New York Philharmonic. Many of these performances have been digitally remastered and reissued by Sony as part of the "Royal Edition" and "Bernstein Century" series. His later recordings (1976 onwards) were mostly made for Deutsche Grammophon, though he would occasionally return to the Columbia Masterworks label. Notable exceptions include recordings of Gustav Mahler's Song of the Earth and Mozart's 15th piano concerto and "Linz" symphony with the Vienna Philharmonic Orchestra for Decca Records (1966), Berlioz' Symphonie Fantastique (1976) for EMI and Wagner's Tristan und Isolde (1981) for Philips Records, a label joint with Deutsche Grammophon as PolyGram at that time.

In August 2008, Sony BMG Masterworks released a 10-disc set of Bernstein's recordings of his own works as a composer, The Original Jacket Collection: Bernstein Conducts Bernstein [26], which heralds the Bernstein Festival and the Bernstein Mass Project. Carnegie Hall and the New York Philharmonic’s three-month program of events, entitled Bernstein: The Best of All Possible Worlds, pays tribute to each aspect of Bernstein’s legacy with 50 concerts and education events. 2008 also marks the 65th anniversary of Bernstein’s historic Carnegie Hall debut.


Awards

Principal works

Musical theatre

Orchestral

Choral

  • Hashkiveinu for Solo Tenor, Mixed Chorus and Organ, 1945
  • Missa Brevis for Mixed Chorus and Countertenor Solo, with Percussion, 1988
  • Chichester Psalms for Boy Soprano (or Countertenor), Mixed Chorus, Organ, Harp and Percussion, 1965

Chamber music

Vocal music

  • I Hate Music: A cycle of Five Kids Songs for Soprano and Piano, 1943
  • La Bonne Cuisine: Four Recipes for Voice and Piano, 1948
  • Arias and Barcarolles for Mezzo-Soprano, Baritone and Piano four-hands, 1988
  • A Song Album, 1988
  • Big Stuff, sung by Billie Holiday

Other music

  • Various piano pieces
  • Other occasional works, written as gifts and other forms of memorial and tribute
  • "The Skin of Our Teeth": An aborted work from which Bernstein took material to use in his "Chichester Psalms"

Bibliography

By Bernstein

  • Bernstein, Leonard (1993) [1982]. Findings. New York: Anchor Books. ISBN 038542437X.
  • Bernstein, Leonard (1993) [1966]. The Infinite Variety of Music. New York: Anchor Books. ISBN 0385424388.
  • Bernstein, Leonard (2004) [1959]. The Joy of Music. Pompton Plains, New Jersey: Amadeus Press. ISBN 1574671049.
  • Bernstein, Leonard (2006) [1962]. Young People's Concerts. Milwaukee; Cambridge: Amadeus Press. ISBN 1574671022.
  • Bernstein, Leonard. [1976] The Unanswered Question: Six Talks at Harvard, Harvard University Press. | ISBN 0-674-92001-5.

About Bernstein

  • Burton, Humphrey (1994). Leonard Bernstein. New York: Doubleday. ISBN 0385423454.
  • Gottlieb, Jack (ed.) (1992). Leonard Bernstein's Young People's Concerts ((revised) ed.). New York: Anchor Books. ISBN 0385424353. {{cite book}}: |first= has generic name (help)

Videography

  • The Unanswered Question: Six Talks at Harvard. West Long Branch, NJ: Kultur Video. VHS ISBN 1561275700. DVD ISBN 0769715702. (film of the Charles Eliot Norton Lectures given at Harvard in 1973.)
  • Leonard Bernstein's Young People's Concerts with the New York Philharmonic. West Long Branch, NJ: Kultur Video. DVD ISBN 0769715036.

References

  1. ^ Karlin, Fred (1994). Listening to Movies 8). New York City: Schirmer. pp. p. 264. {{cite book}}: |format= requires |url= (help); |pages= has extra text (help) Bernstein's pronunciation of his own name as he introduces his Peter and the Wolf
  2. ^ http://www.imdb.com/name/nm0077086/awards
  3. ^ Peyser, Joan (1987). Bernstein, a biography. New York: Beech Tree Books. pp. p. 22-23. ISBN 0-688-04918-4. {{cite book}}: |pages= has extra text (help)
  4. ^ Peyser (1987), p. 34
  5. ^ Peyser (1987), p. 39–40
  6. ^ Peyser (1987), p. 38–9
  7. ^ "Bernstein Chronology".
  8. ^ Burton, Leonard Bernstein)
  9. ^ Peyser (1987), p. 196, 204, 322
  10. ^ Burton, Leonard Bernstein)
  11. ^ Charles Kaiser, “The Gay Metropolis, New York City: 1940–1996"
  12. ^ Meryle Secrest, “Leonard Bernstein: A Life”
  13. ^ "Radical Chic & Mau-Mauing the Flak Catchers". Tomwolfe.com. Retrieved 2007-07-22.
  14. ^ Donal Henahan (1990-10-15). "Leonard Bernstein, 72, Music's Monarch, Dies". The New York Times.
  15. ^ Lasch-Quinn, Elisabeth (1999). "How to Behave Sensitively: Prescriptions for Interracial Conduct from the 1960s to the 1990s". Journal of Social History. 33 (2): 409. doi:10.1353/jsh.1999.0064.
  16. ^ Timothy Foote (1970-12-21). "Fish in the Brandy Snifter". Time Magazine.
  17. ^ "Cry Wolfe; The Purple Decades by Tom Wolfe". Financial Times. 1983-04-09.
  18. ^ "About Bernstein". Leonard Bernstein Official Site. Retrieved 2007-01-15.
  19. ^ "Leonard Bernstein - Biography". Sony Classical. Retrieved 2007-01-15.
  20. ^ Deems Taylor (2007-07-25), Pathétique, Music-Appreciation Records
  21. ^ The Official Leonard Bernstein Web Site. http://www.leonardbernstein.com/about.php
  22. ^ Glenn Gould: Variations, Ed. John McGreevy
  23. ^ Naxos (2006). "Ode To Freedom - Beethoven: Symphony No. 9 (NTSC)". Naxos.com Classical Music Catalogue. Retrieved 2006-11-26.
  24. ^ Garrison Keillor (August 25, 2003). "The Writer's Almanac". American Public Media. Retrieved 2007-01-17.
  25. ^ American Masters documentary, PBS
  26. ^ "Amazon Listing".
  • Chapin, Schuyler (1992). Leonard Bernstein: Notes from a friend. New York: Walker. ISBN 0802712169. {{cite book}}: Cite has empty unknown parameter: |1= (help)
  • Rozen, Brian D. (1997). The contributions of Leonard Bernstein to music education: an analysis of his 53 Young people's concerts. Thesis (Ph. D.). Rochester, New York: University of Rochester. OCLC 48156751.

External links

Template:Musicals and operas of Leonard Bernstein


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