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Tata Lectures on Theta II - Jacobian theta functions and differential equations (Paperback, Reprint of the 1984 ed.)
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Tata Lectures on Theta II - Jacobian theta functions and differential equations (Paperback, Reprint of the 1984 ed.)
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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.
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