2015;
329 pp;
Softcover

MSC: Primary 01; 30;

Print ISBN: 978-1-4704-2056-7

Product Code: MBK/93

List Price: $44.00

Individual Member Price: $35.20

**Electronic ISBN: 978-1-4704-2497-8
Product Code: MBK/93.E**

List Price: $44.00

Individual Member Price: $35.20

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#### Supplemental Materials

# Lipman Bers, a Life in Mathematics

Share this page *Edited by *
*Linda Keen; Irwin Kra; Rubí E. Rodríguez*

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.

#### Readership

Undergraduate and graduate students and research mathematicians interested in the history of mathematics and complex analysis.

#### Reviews & Endorsements

[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

#### Table of Contents

# Table of Contents

## Lipman Bers, a Life in Mathematics

- Cover Cover11
- Title page i2
- Contents v6
- Permissions and acknowledgments vii8
- Introduction ix10
- Pages from a memoir 116
- Lipman Bers and partial differential equations 4762
- Bers—From graduate student to quasiconformal mapper 5570
- Measurable Riemann mappings 7590
- The Ahlfors-Bers creation of the modern theory of Kleinian groups—A small acorn grows to a mighty oak 91106
- The Bers embedding and (some of) its ramifications 97112
- Lipman Bers, a retrospective 107122
- The Weil-Petersson geometry of a family of Riemann surfaces 139170
- Legacy of work of Bers on the mapping class group 145176
- Bers’ pants decomposition theorem 157188
- Dennis Sullivan and Jeremy Kahn reminiscences 165196
- Bers embeddings, skinning maps and hyperbolic geometry 169200
- On the early history of moduli and Teichmüller spaces 175206
- Reprint of Correction to “Spaces of Riemann surfaces as bounded domains” 263294
- Reprint of The migration of European mathematicians to America 265296
- Reprint of Lipman Bers May 22, 1914–October 29, 1993 279310
- Reprint of Remembering Lipman Bers 299330
- Reprint of Lipman Bers, a mathematical mentor 311342
- Doctoral students of Lipman Bers 319350
- Publications of Lipman Bers 321352
- Back Cover Back Cover1362