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

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

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Book Description
The second in a series of three volumes surveying the theory of theta function, 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 thee 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 function, this volume will be a useful addition to the individual and mathematics research libraries.

Tata Lectures on Theta: Volume II: Jacobian theta functions and differential equations (Progress in Mathematics),David Mumford,Springer,0817631100,Calculus,Functions, Theta,General,Mathematical Analysis,Mathematics,Science,Science/Mathematics,Theory Of Functions,Mathematics / Calculus,Mathematics / Mathematical Analysis,Mathematics-Mathematical Analysis,Science-General

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