Tata Lectures on Theta II : Jacobian theta functions and differential equations
Reprint of the 1984 ed.
Book Details
Format
Paperback / Softback
Book Series
Modern Birkhauser Classics
ISBN-10
0817645691
ISBN-13
9780817645694
Edition
Reprint of the 1984 ed.
Publisher
Birkhauser Boston Inc
Imprint
Birkhauser Boston Inc
Country of Manufacture
US
Country of Publication
GB
Publication Date
Dec 27th, 2006
Print length
272 Pages
Weight
446 grams
Dimensions
15.30 x 23.30 x 2.50 cms
Product Classification:
Complex analysis, complex variables
Ksh 14,400.00
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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.
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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