Tata Lectures on Theta II: Jacobian theta functions and differential equations (Progress in Mathematics) (Hardcover)

by David Mumford (Author), C. Musili (Contributor), M. Nori (Contributor), E. Previato (Contributor), M. Stillman (Contributor), H. Umemura (Contributor)
Key Phrases: hyperelliptic theta functions, trisecant identity, theta formula, Jac C-e (more...)

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Product 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 the individual and mathematics research libraries.

• Hardcover: 296 pages
• Publisher: Birkhäuser Boston; 1 edition (December 1, 1992)
• Language: English
• ISBN-10: 0817631100
• ISBN-13: 978-0817631109
• Product Dimensions: 9.2 x 6.1 x 0.9 inches
• Shipping Weight: 1.2 pounds (View shipping rates and policies)
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• Amazon.com Sales Rank: #1,544,958 in Books (See Bestsellers in Books)
  
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