Modern Birkhäuser Classics

Tata Lectures on Theta II

Jacobian theta functions and differential equations

Authors: Mumford, David

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eBook $69.99
price for USA (gross)
  • ISBN 978-0-8176-4578-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA
  • ISBN 978-0-8176-4569-4
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  • Usually dispatched within 3 to 5 business days.
About this book

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.

Table of contents (18 chapters)

  • Review of background in algebraic geometry

    Mumford, David

    Pages 1-11

  • Divisors on hyperelliptic curves

    Mumford, David

    Pages 12-27

  • Algebraic construction of the Jacobian of a hyperelliptic curve

    Mumford, David

    Pages 28-39

  • The translation-invariant vector fields

    Mumford, David

    Pages 40-50

  • Neumann’s dynamical system

    Mumford, David

    Pages 51-74

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-0-8176-4578-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA
  • ISBN 978-0-8176-4569-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Tata Lectures on Theta II
Book Subtitle
Jacobian theta functions and differential equations
Authors
Series Title
Modern Birkhäuser Classics
Copyright
2007
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4578-6
DOI
10.1007/978-0-8176-4578-6
Softcover ISBN
978-0-8176-4569-4
Series ISSN
2197-1803
Edition Number
1
Number of Pages
XIV, 272
Additional Information
Originally published as volume 43 in the series: Progress in Mathematics
Topics