Softcover ISBN:  9781470420567 
Product Code:  MBK/93 
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Electronic ISBN:  9781470424978 
Product Code:  MBK/93.E 
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Book Details2015; 329 ppMSC: Primary 01; 30;
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, grandstudents, 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.ReadershipUndergraduate and graduate students and research mathematicians interested in the history of mathematics and complex analysis.

Table of Contents

Chapters

Pages from a memoir

Lipman Bers and partial differential equations

Bers—From graduate student to quasiconformal mapper

Measurable Riemann mappings

The AhlforsBers creation of the modern theory of Kleinian groups—A small acorn grows to a mighty oak

The Bers embedding and (some of) its ramifications

Lipman Bers, a retrospective

The WeilPetersson geometry of a family of Riemann surfaces

Legacy of work of Bers on the mapping class group

Bers’ pants decomposition theorem

Dennis Sullivan and Jeremy Kahn reminiscences

Bers embeddings, skinning maps and hyperbolic geometry

On the early history of moduli and Teichmüller spaces

Reprint of Correction to “Spaces of Riemann surfaces as bounded domains”

Reprint of The migration of European mathematicians to America

Reprint of Lipman Bers May 22, 1914–October 29, 1993

Reprint of Remembering Lipman Bers

Reprint of Lipman Bers, a mathematical mentor


Additional Material

Reviews

[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


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

Chapters

Pages from a memoir

Lipman Bers and partial differential equations

Bers—From graduate student to quasiconformal mapper

Measurable Riemann mappings

The AhlforsBers creation of the modern theory of Kleinian groups—A small acorn grows to a mighty oak

The Bers embedding and (some of) its ramifications

Lipman Bers, a retrospective

The WeilPetersson geometry of a family of Riemann surfaces

Legacy of work of Bers on the mapping class group

Bers’ pants decomposition theorem

Dennis Sullivan and Jeremy Kahn reminiscences

Bers embeddings, skinning maps and hyperbolic geometry

On the early history of moduli and Teichmüller spaces

Reprint of Correction to “Spaces of Riemann surfaces as bounded domains”

Reprint of The migration of European mathematicians to America

Reprint of Lipman Bers May 22, 1914–October 29, 1993

Reprint of Remembering Lipman Bers

Reprint of Lipman Bers, a mathematical mentor

[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