Steven G. Krantz
Steven George Krantz ( born February 3, 1951 in San Francisco) is an American mathematician who deals with analysis.
Krantz studied at the University of California, Santa Cruz, with a bachelor's degree in 1971 and in 1974 when Elias M. Stein Princeton University PhD (Optimal Lipschitz and Estimates for the Equation on 'strongly pseudoconvex domains). He taught at the University of California, Los Angeles ( Assistant Professor ) in Princeton ( Visiting Professor, 1980), at Pennsylvania State University ( 1981-1987 ) and is a professor at Washington University in St. Louis, where he also Board of mathematics faculty was. He has been a visiting scientist at the Institute for Advanced Study, the MSRI, in Beijing, Oslo, Paris, the Autonomous University of Madrid, in Uppsala, the Mittag-Leffler Institute, Oslo, Torino, Seoul and the Australian National University.
Krantz dealt with real and complex analysis, both in a and in several complex variables, partial differential equations, harmonic analysis, Lie theory. He developed software for the pharmaceutical industry and wavelet modeling method for plastic surgery.
In 1989, he criticized Benoit Mandelbrot in a book review in the Mathematical Intelligencer, where he carried out, among other things, that except Mandelbrot previously a number of other mathematicians themselves ( as John Hubbard ) had dealt with fractal images and the Mandelbrot set.
Krantz is best known as author of over 30 books. In addition to textbooks are including career guide for aspiring mathematicians and collections of anecdotes of mathematicians. In 1994 he was awarded the Book Prize ( Beckenbach price ) of the Mathematical Association of America ( MAA) and the 1992 Chauvenet Prize. From 2010 to 2012, he is the editor of the Notices of the American Mathematical Society. He is the founder and editor of the Journal of Geometric Analysis.
Writings
- Function Theory of Several Complex Variables, 1992, second 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
- By 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, Birkhauser 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, Birkhauser 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 variable, with applications to differential equations and Fourier analysis, Birkhauser 2003
- A handbook of complex variable, 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 variable, 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
- Techniques of problem solving, American Mathematical Society 1997
- Handbook of Typography for the mathematical Scientist, CRC Press 2001
- 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