Steven G. Krantz

Steven George Krantz (born February 3, 1951 in San Francisco ) is an American mathematician who deals with analysis .

Steven Krantz 2009

Krantz studied at the University of California, Santa Cruz , with a bachelor's degree in 1971 and received his doctorate in 1974 with Elias M. Stein at Princeton University ( Optimal Lipschitz and Estimates for the Equation on strongly pseudoconvex domains ${\ displaystyle L_ {p}}$ ${\ displaystyle {\ overline {\ partial}} {u} = f}$ ). He taught at the University of California, Los Angeles (as assistant professor), at Princeton (visiting professor 1980), at Pennsylvania State University (1981 to 1987) and is a professor at Washington University in St. Louis , where he is also chairman of the Mathematics Faculty was. Among other things, he was visiting scholar at the Institute for Advanced Study , the MSRI , in Beijing, Oslo, Paris, the Autonomous University of Madrid, in Uppsala, the Mittag-Leffler Institute , Oslo, Turin, Seoul and the Australian National University . He is a fellow of the American Mathematical Society .

Krantz deals with real and complex analysis , partial differential equations , harmonic analysis and Lie theory . He developed software for the pharmaceutical industry and wavelet modeling methods for plastic surgery.

In 1989 he criticized Benoît Mandelbrot in a book review in the Mathematical Intelligencer , where he stated, among other things, that apart from Mandelbrot himself, a number of other mathematicians (such as John Hubbard ) had previously dealt with fractal images and the Mandelbrot set.

Krantz is best known as the author of over 30 books, in addition to textbooks, career guides for budding mathematicians and collections of anecdotes about mathematicians. In 1992 he was awarded the Chauvenet Prize , and in 1994 he received the Beckenbach Prize of the Mathematical Association of America (MAA). From 2010 to 2012 he was editor of the Notices of the American Mathematical Society . He is the founder and editor of the Journal of Geometric Analysis .

Fonts

Function Theory of Several Complex Variables , 1992, 2nd edition 2001, American Mathematical Society, ISBN 0821827243
Complex Analysis: The Geometric Viewpoint , 2nd Edition, Mathematical Association of America, Carus Mathematical Monographs, 1990, 2004, ISBN 0883850354
with Harold R. Parks: A Primer of Real Analytic Functions , 2nd edition, Birkhäuser, 2002, ISBN 0817642641
with Parks: Geometry of domains in space , Birkhäuser 1999
with Parks: Geometric Integration Theory , Springer 2008
with Parks: The implicit function theorem , Birkhäuser 2002
Real Analysis and Foundations , Chapman and Hall, 2nd edition, 2005
Geometric analysis and function spaces , American Mathematical Society 1993
Cornerstones of Geometric Function Theory - explorations in complex analysis , Birkhäuser 2006
The Elements of Advanced Mathematics , Chapman and Hall
Partial Differential equations and complex analysis , CRC Press 1992
A Panorama of Harmonic Analysis , Mathematical Association of America, Carus Mathematical Monographs, 1999, ISBN 0883850311
Explorations in harmonic analysis - with applications to complex function theory and the Heisenberg group , Birkhäuser 2009 (with Lina Lee)
with Robert E. Greene: Function theory of one complex variable , Wiley 1997
Calculus demystified , McGraw Hill 2003
Differential Equations demystified , McGraw Hill 2005
Discrete Mathematics demystified , McGraw Hill 2009
A Handbook of real variables, with applications to differential equations and Fourier analysis , Birkhäuser 2003
A handbook of complex variables , Birkhäuser 1999
Handbook of logic and proof techniques for computer science , Birkhäuser 2002
Essentials of Topology with applications , CRC Press 2010
A guide to topology , MAA 2009
Elements of topology - theory and practice , Taylor and Francis, Boca Raton 2009
A guide to real variables , MAA 2009
A guide to complex variables , MAA 2008
A Mathematician's Survival Guide , American Mathematical Society, 2004, ISBN 082183455X
Survival of a Mathematician - from Tenure to Emeritus , American Mathematical Society 2009
An Episodic History of Mathematics: Mathematical Culture through Problem Solving , Mathematical Association of America, 2010, ISBN 0883857669
How to Teach Mathematics - a personal perspective , 2nd edition, American Mathematical Society, 1999, ISBN 0821813986
Mathematical Apocrypha , Mathematical Association of America 2002
Mathematical Apocrypha Redux , Mathematical Association of America 2005
The proof is in the pudding - the changing nature of mathematical proof , 2011, ISBN 978-0-387-48744-1
Techniques of Problem solving , American Mathematical Society 1997
Handbook of Typography for the mathematical Scientist , CRC Press 2001
with Stanley Sawyer: A Tex Primer for Scientists , CRC Press 1995
Mathematical Publishing - a guidebook , American Mathematical Society 2005
How to write your first paper , Notices AMS, December 2007

Web links

Individual evidence

^ Mathematics Genealogy Project . Published in Mathematische Annalen, Volume 219, 1976, p. 233.
↑ Volume 11, No. 4
↑ For What is Several Complex Variables? In: American Mathematical Monthly. Volume 94, 1987, pp. 236-256
↑ For Complex Analysis: The Geometric Viewpoint

personal data
SURNAME	Krantz, Steven G.
ALTERNATIVE NAMES	Krantz, Steven George (full name)
BRIEF DESCRIPTION	American mathematician
DATE OF BIRTH	3rd February 1951
PLACE OF BIRTH	San Francisco

[1] Mathematics Genealogy Project . Published in Mathematische Annalen, Volume 219, 1976, p. 233.

[2] Volume 11, No. 4

[3] For What is Several Complex Variables? In: American Mathematical Monthly. Volume 94, 1987, pp. 236-256

[4] For Complex Analysis: The Geometric Viewpoint