Tata Lectures on Theta II: Jacobian theta functions and differential equations / Edition 1

Tata Lectures on Theta II: Jacobian theta functions and differential equations / Edition 1

by David Mumford
     
 

ISBN-10: 0817645691

ISBN-13: 9780817645694

Pub. Date: 12/27/2006

Publisher: Birkhauser Verlag

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

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Overview

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.

Product Details

ISBN-13:
9780817645694
Publisher:
Birkhauser Verlag
Publication date:
12/27/2006
Series:
Modern Birkhauser Classics Series
Edition description:
Reprint of the 1984 ed.
Pages:
272
Product dimensions:
6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

Introduction.- An Elementary Construction of Hyperelliptic Jacobians.- Fay’s Trisecant Identity for Jacobian Theta Functions.- Resolutions of Algebraic Equations by Theta Constants.- Bibliography.

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