Paperback of Mathematics

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13th Russian edition, 1986

The Handbook of Mathematics , commonly known mostly as Bronstein called, is a mathematical reference book that on the Russian-language "Handbook of Mathematics Technical for engineers and students Universities" (Справочник по математике для инженеров и учащихся втузов) the Soviet mathematician Ilya Nikolayevich Bronschtein (Bronstein, 1903–1976, Russian Илья Николаевич Бронштейн ) and Konstantin Adolfowitsch Semendjajew (1908–1988, Russian Константин Адольфович Семендяев ).


The main subject is the presentation of mathematics in definitions, examples and numerous tables. The book is characterized by an almost complete listing of all analytically resolvable integrals , i.e. H. antiderivatives that can be represented in closed form .


The two authors wrote the work in 1939-40, the Soviet edition of the Справочник по математике для инженеров и учащихся втузов ( Sprawotschnik po matematike dlja inschenerow i utschaschtschichsja wtusow ) then appeared in 1945 (the printing plates were during the siege of Leningrad disappeared, then appeared but again ). The German translation by Viktor Ziegler (1922–1980) first appeared in 1958 by BG Teubner in Leipzig . In the 1970s, the book was completely reworked by mathematicians in the GDR on behalf of Teubner Verlag under the direction of Ziegler and Günter Grosche ( University of Leipzig ) . The new edition appeared in 1979 and has been in several editions since then. A new Russian edition was published at that time (13th edition in 1986). The Soviet publisher Nauka had phased out the Russian editions with the 11th edition in 1967 because it preferred to publish an American manual in translation to meet the increased requirements. Because of its detailed presentation, the "Bronstein" is considered a standard work for higher mathematics . Translations into English and Japanese are available.

In 1979 a supplementary volume appeared, which u. a. concerned with mathematical information processing.

The work was continued by others and is now published by two publishers (BG Teubner and Verlag Europa-Lehrmittel ), with the split between two publishers having its roots in the division of the two German states and in copyright law .

The two-volume edition under the direction of Eberhard Zeidler at Springer (taken over by Teubner) is a completely new edition and goes far beyond the content of the old Bronstein in terms of the sub-areas of mathematics, scope and penetration.

Since the mid-1990s, the Bronstein has been further developed by both publishers independently of each other, which is why the two editions are now very different. Only the edition from the Europa-Lehrmittel publishing house (which it took over from Harri Deutsch in 2013 ) may bear the title Bronstein .

German and English language editions

Edition Teubner
Verlag BG Teubner (editors Günter Grosche and Eberhard Zeidler ):
ISBN 3-519-20012-0 (Part I)
ISBN 3-519-21008-8 (Part II)
Oxford University Press (English edition, publisher Eberhard Zeidler):
ISBN 978-0198507635 (Oxford Users' Guide to Mathematics; corresponds to Part I)
Edition of Europe teaching materials
Verlag Europa-Lehrmittel (publishers Gerhard Musiol and Heiner Mühlig):
ISBN 978-3-8085-5671-9 (book)
ISBN 978-3-8085-5673-3 (book + CD-ROM)
Springer-Verlag (English editions: Handbook of Mathematics):
ISBN 978-3540434917 4th Edition
ISBN 978-3540721215 5th Edition
ISBN 978-3662462201 6th Edition

Bronstein integrable

Because of the almost complete listing of all analytically resolvable integrals, universities jokingly refer to terms such as Riemann-integrable or Lebesgue-integrable also of Bronstein-integrable functions, provided that their integral can be found in the pocket book of mathematics .

The determination of the integrals with conventional means of integral calculus is often lengthy, which is why reference is made to the Bronstein in corresponding courses .

See also

Web links

Individual evidence

  1. Bronstein worked at the Moscow State Technical University MAMI , History of the Chair of Mathematics at MAMI, Russian ( Memento of the original from April 3, 2016 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. @1@ 2Template: Webachiv / IABot /
  2. Semendjajew worked, among other things, in the Applied Mathematics department of the Steklow Institute in Moscow. He pioneered numerical weather forecasting in the Soviet Union. Russian biography (PDF).
  3. ^ A b Dorothea Ziegler: The "Bronstein" .
  4. The American book was: Granino A. Korn, Theresa M. Korn: Mathematical Handbook for Scientists and Engineers , New York: McGraw Hill 1961. It was also reprinted by Dover.
  5. Maths Lexikons WH54: Bronstein can be integrated. Retrieved April 20, 2020 .
  6. Dietrich Paul: What is funny about mathematics? Vieweg + Teubner Verlag, 2011, ISBN 978-3-8348-0466-2 , p. 32 .
  7. Jürgen Beetz: 1 + 1 = 10: Mathematics for cavemen . Springer Spectrum, Berlin Heidelberg 2013, ISBN 978-3-8274-2927-8 , p. 259 .