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Lipman Bers, a Life in Mathematics [Pehme köide]

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  • Formaat: Paperback / softback, 329 pages, kõrgus x laius: 254x178 mm, kaal: 638 g
  • Ilmumisaeg: 30-Oct-2015
  • Kirjastus: American Mathematical Society
  • ISBN-10: 1470420562
  • ISBN-13: 9781470420567
Teised raamatud teemal:
  • Formaat: Paperback / softback, 329 pages, kõrgus x laius: 254x178 mm, kaal: 638 g
  • Ilmumisaeg: 30-Oct-2015
  • Kirjastus: American Mathematical Society
  • ISBN-10: 1470420562
  • ISBN-13: 9781470420567
Teised raamatud teemal:
The book is part biography and part collection of mathematical essays that gives the reader a perspective on the evolution of an interesting mathematical life. It is all about Lipman Bers, a giant in the mathematical world who lived in turbulent and exciting times. It captures the essence of his mathematics, a development and transition from applied mathematics to complex analysis - quasiconformal mappings and moduli of Riemann surfaces - and the essence of his personality, a progression from a young revolutionary refugee to an elder statesman in the world of mathematics and a fighter for global human rights and the end of political torture.

The book contains autobiographical material and short reprints of his work. The main content is in the exposition of his research contributions, sometimes with novel points of view, by students, grand-students, and colleagues. The research described was fundamental to the growth of a central part of 20th century mathematics that, now in the 21st century, is in a healthy state with much current interest and activity. The addition of personal recollections, professional tributes, and photographs yields a picture of a man, his personal and professional family, and his time.

Arvustused

[ T]his is a fascinating book in which one can get lost, but it seems a must for anyone interested in Riemann surfaces, quasiconformal mappings, Teichmüller theory, and deformation spaces, and in particular the history and developments of these subjects, but more generally also the history of mathematics and mathematicians between Europe and the US in the last century." Bruno P. Zimmermann, Mathematical Reviews

Editors' Introduction ix
Lipman Bers' unfinished and previously unpublished "Pages from a Memoir" with additional introductory notes and reflections
1(46)
Ruth Bers Shapiro
Victor Bers
Lipman Bers and Partial Differential Equations
47(8)
Louis Nirenberg
Bers --- From Graduate Student to Quasiconformal Mapper
55(20)
William Abikoff
Robert J. Sibner
Measurable Riemann mappings
75(16)
Scott A. Wolpert
The Ahlfors-Bers Creation of the Modern Theory of Kleinian Groups A small acorn grows to a mighty oak
91(6)
Albert Marden
The Bers Embedding and (some of) its ramifications
97(10)
Irwin Kra
Bernard Maskit
Lipman Bers, a Retrospective
107(32)
Frederick P. Gardiner
Linda Keen
The Weil-Petersson geometry of a family of Riemann Surfaces
139(6)
Gonzalo Riera
Rubi E. Rodriguez
Legacy of work of Bers on the mapping class group
145(12)
Howard Masur
Bers' pants decomposition theorem
157(8)
Ara Basmajian
Perry Susskind
Dennis Sullivan and Jeremy Kahn reminiscences
165(4)
Irwin Kra
Bers Embeddings, Skinning Maps and Hyperbolic Geometry
169(6)
Yair Minsky
On the early history of moduli and Teichmuller spaces
175(88)
N. A'Campo
L. Ji
A. Papadopoulos
Reprint of Correction to "Spaces of Riemann Surfaces as Bounded Domains"
263(2)
Lipman Bers
Reprint of The Migration of European Mathematicians to America
265(14)
Lipman Bers
Reprint of Lipman Bers, May 22, 1914--October 29, 1993
279(20)
Irwin Kra
Hyman Bass
Reprint of portions of Remembering Lipman Bers
299(12)
Carol Corrillon
Jane Gilman
Irwin Kra
Cathleen S. Morawetz
Tilla Weinstein
Reprint of Lipman Bers, a Mathematical Mentor
311(8)
Jozef Dodziuk
Jane Gilman
Linda Keen
Tilla Klotz Milnor
Irwin Kra
Lesley Sibner
Doctoral Students of Lipman Bers 319(2)
Publications of Lipman Bers 321
Linda Keen, Lehman College, CUNY, New York, NY, USA.

Irwin Kra, Stony Brook University, NY, USA.

Rubi E. Rodriguez, Pontificia Universidad Catolica de Chile, Santiago, Chile.