Tata Lectures on Theta II

Jacobian theta functions and differential equations

By:

David Mumford

Format:

Paperback / softback

Series:

Modern Birkhauser Classics

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Description

The second in a series of three volumes surveying the theory of theta functions, this volume gives emphasis to the special properties of the theta functions associated with compact Riemann surfaces and how they lead to solutions of the Korteweg-de-Vries equations as well as other non-linear differential equations of mathematical physics. This book presents an explicit elementary construction of hyperelliptic Jacobian varieties and is a self-contained introduction to the theory of the Jacobians. It also ties together nineteenth-century discoveries due to Jacobi, Neumann, and Frobenius with recent discoveries of Gelfand, McKean, Moser, John Fay, and others. A definitive body of information and research on the subject of theta functions, this volume will be a useful addition to individual and mathematics research libraries.

Release date Australia

December 27th, 2006

Author

David Mumford

Audience

Professional & Vocational

Contributors

Other C. Musili
Other E. Previato
Other H. Umemura
Other M. Nori
Other M. Stillman

Edition

Reprint of the 1984 ed.

Illustrations

XIV, 272 p.

Pages

272

Series

Modern Birkhauser Classics

Dimensions

155x235x15

ISBN-13

9780817645694

Product ID

2041959

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