Tata Lectures on Theta II: Jacobian Theta Functions and Differential Equations - Couverture rigide

Mumford, David

 
9780817631109: Tata Lectures on Theta II: Jacobian Theta Functions and Differential Equations

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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Autres éditions populaires du même titre

9780817645694: Tata Lectures on Theta II: Jacobian theta functions and differential equations

Edition présentée

ISBN 10 :  0817645691 ISBN 13 :  9780817645694
Editeur : Birkhauser Boston, 2008
Couverture souple