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This book is the second in a three part series 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 equation 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 dsicoveries due to Jacobi, Neumann, and Frobenius with recent discoveries of Gelfand, McKean, Moser, John Fay, and others. a definitive book on theta functions. hardcover by David Mumford.

Informacija

Autorius: David Mumford
Leidėjas: Birkhauser
Išleidimo metai: 1984
Knygos puslapių skaičius: 272
ISBN-13: 9783764331108
Formatas: Knyga kietu viršeliu
Kalba: Anglų

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