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 KortewegdeVries equations as well as other nonlinear differential equations of mathematical physics. It presents an explicit elementary construction of hyperelliptic Jacobian varieties and is a selfcontained introduction to the theory of the Jacobians. It also ties together nineteenthcentury discoveries due to Jacobi, Neumann, and Frobenius with recent discoveries of Gelfand, McKean, Moser, John Fay, and others.
About David Mumford
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Author  :  David Mumford 
Publisher  :  Birkhauser Boston Inc 
Data Published  :  27 December 2006 
ISBN  :  0817645691 
EAN  :  9780817645694 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  272 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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