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Peter Lax, Mathematician: An Illustrated Memoir [Pehme köide]

  • Formaat: Paperback / softback, 253 pages, kõrgus x laius: 254x178 mm, kaal: 540 g
  • Ilmumisaeg: 28-Feb-2015
  • Kirjastus: American Mathematical Society
  • ISBN-10: 1470417081
  • ISBN-13: 9781470417086
Teised raamatud teemal:
  • Formaat: Paperback / softback, 253 pages, kõrgus x laius: 254x178 mm, kaal: 540 g
  • Ilmumisaeg: 28-Feb-2015
  • Kirjastus: American Mathematical Society
  • ISBN-10: 1470417081
  • ISBN-13: 9781470417086
Teised raamatud teemal:
This book is a biography of one of the most famous and influential living mathematicians, Peter Lax. He is virtually unique as a preeminent leader in both pure and applied mathematics, fields which are often seen as competing and incompatible. Although he has been an academic for all of his adult life, his biography is not without drama and tragedy. Lax and his family barely escaped to the U.S. from Budapest before the Holocaust descended. He was one of the youngest scientists to work on the Manhattan Project. He played a leading role in coping with the infamous kidnapping of the NYU mathematics department's computer, in 1970.

The list of topics in which Lax made fundamental and long-lasting contributions is remarkable: scattering theory, solitons, shock waves, and even classical analysis, to name a few. His work has been honored many times, including the Abel Prize in 2005. The book concludes with an account of his most important mathematical contributions, made accessible without heavy prerequisites.

Reuben Hersh has written extensively on mathematics. His book with Philip Davis, The Mathematical Experience, won the National Book Award in science. Hersh is emeritus professor of mathematics at the University of New Mexico, USA.

Arvustused

This is a charming but quirky amalgam of biography, memoir and reminiscence about the renowned mathematician Peter Lax written by Reuben Hersh, Lax's friend and former Ph.D. student. The author says further that Lax unites two great traditions of modern mathematics: the first, a special style of functional analysis from Europe, and, the second, an approach to machine computation and numerical analysis via Los Alamos. Even this doesn't capture his breadth, one that ranges from shock waves, solitons and scattering theory to Lax pairs, integrable systems and the axiomatic treatment of hyperbolicity. The book is not all about mathematics. We also learn a good deal about Lax's personal life, his family and his interests which include a serious interest in painting. There is a very nice collection of photographs (something that AMS has been doing very well in this and similar publications). Some of the most interesting parts of the book describe Lax's life at NYU over the last several decades. The book is a true blend of the personal and the mathematical." - MAA Reviews

"Reuben Hersh, a former student of Peter Lax, has produced a wonderful account of the life and career of this remarkable man. The book is well researched and full of interesting facts, yet light-hearted and lively. It is very well written. A nice feature is the abundance of photographs, not only of Peter Lax and his family, but also of colleagues and students. Although written for mathematicians, the book will have wider appeal. Highly recommended." - Peter Duren, University of Michigan

"This is a fascinating and beautifully written book about one of the most influential and inspirational mathematicians of the past 70 years. The author not only captures the essence of Peter Lax and those around him, but also gives the reader a feel for a glorious and exciting time in history of mathematics, that is, the era of postwar development of the Courant Institute and its brand of pure and applied mathematics." - Stanley Osher, University of California, Los Angeles

"Peter Lax is a mathematician with a fascinating life history and a spectacularly successful professional career at the Courant Institute of Mathematical Sciences. Reuben Hersh, one of Peter's many students, gives us a lively and beautifully illustrated biography. This book brings out both the personal and professional aspects of Peter's work in a captivating manner. It is a great read for people who know Peter as well as for those who do not." - Gérard Ben-Arous, Courant Institute of Mathematical Sciences

Acknowledgments ix
Permissions and Acknowledgments xi
Introduction xv
Chapter 1 A prodigy and his family have a narrow escape
1(16)
The Holocaust
6(1)
Lax family
6(11)
Chapter 2 Manhattan, NY, and Manhattan Project. An army private among the "Martians"
17(18)
Into the army
19(1)
Manhattan Project. An army corporal among the Martians
20(13)
NYU and the Courant Institute
33(2)
Chapter 3 Family life: Son, husband, father, grandfather
35(14)
Anneli Cahn
35(3)
Jimmy
38(4)
Johnny
42(3)
Lori
45(4)
Chapter 4 Early career
49(20)
The advent of the computer
51(4)
Becoming Peter Lax's student
55(14)
Chapter 5 The famous CDC 6600 bomb-scare adventure
69(10)
Chapter 6 Later career
79(12)
Chapter 7 The queen of Norway
91(14)
Entr'acte. Peter's stories
97(8)
Chapter 8 Books
105(8)
Chapter 9 Pure AND applied, not VERSUS applied
113(20)
Computing
118(3)
Partial differential equations and the real world, a beginner's primer
121(4)
Thinking geometrically about dynamical systems: Phase space
125(1)
Function spaces, functional analysis
126(3)
Nonlinearity
129(4)
Chapter 10 Difference schemes. Shocks. Solitons. Scattering. Lax-Milgram. Polya's curve, etc.
133(26)
Difference equations and computing
133(2)
Shock waves
135(7)
Solitons
142(6)
The nonlinear Schrodinger equation occurs in water waves
148(2)
Scattering theory
150(4)
Differentiability of the Polya function
154(2)
Lax-Milgram lemma
156(1)
Algebraic hyperbolicity
156(3)
Epilogue
159(48)
Appendix 1 Anneli Lax
161(6)
Appendix 2 John von Neumann: The early years, the years at Los Alamos, and the road to computing
167(8)
Appendix 3 The life of Richard Courant
175(12)
Appendix 4 Peter D. Lax curriculum vitae
187(12)
Appendix 5 The closed graph theorem
199(4)
Appendix 6 List of Peter Lax's doctoral students (from the Mathematics Genealogy Project)
203(4)
John Lax
207(22)
Appendix 7 From A Liberal Education, by Abbott Gleason, pages 314-317 on John Lax
209(4)
Appendix 8 John Lax article on Chicago jazz musicians
213(16)
References 229(4)
Index 233
Reuben Hersh, University of New Mexico, Albuquerque, NM, USA.