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Tata Lectures on Theta II: Jacobian Theta Functions and Differential Equations: 2 (Progress in Mathematics)

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Tata Lectures on Theta II: Jacobian Theta Functions and Differential Equations: 2 (Progress in Mathematics) image
ISBN-10:

0817631100

ISBN-13:

9780817631109

Author(s): David Mumford
Edition: 1
Released: Jan 01, 1992
Publisher: Birkhäuser Boston
Format: Hardcover, 272 pages
Related ISBN: 9780817645694
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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.

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