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The second in a series of three volumes that survey the theory of theta functions, this volume emphasizes 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. It 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.
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Additional ISBNs
0817645691, 0817631100, 9780817645694, 9780817631109
Tata Lectures on Theta II: Jacobian theta functions and differential equations is written by David Mumford and published by Birkhäuser. The Digital and eTextbook ISBNs for Tata Lectures on Theta II are 9780817645786, 0817645780 and the print ISBNs are 9780817645694, 0817645691. Additional ISBNs for this eTextbook include 0817645691, 0817631100, 9780817645694, 9780817631109.
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