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Tata Lectures on Theta: Jacobian Theta Functions and Differential Equations: 43 (Progress in Mathematics) - Hardcover
Synopsis
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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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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Tata Lectures on Theta II: Jacobian Theta Functions and Differential Equations (Progress in Mathematics)
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Tata Lectures on Theta II: Jacobian Theta Functions and Differential Equations: 2 (Progress in Mathematics)
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Birkhäuser, 1993
ISBN 10: 0817631100
ISBN 13: 9780817631109
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Tata Lectures on Theta II
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Tata Lectures on Theta II: Jacobian theta functions and differential equations: Jacobean Theta Functions and Differential Equations: 2 (Progress in Mathematics)
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