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.
- ISBN10 0817645780
- ISBN13 9780817645786
- Publish Date 1 February 2007 (first published 27 December 2006)
- Publish Status Active
- Publish Country US
- Imprint Birkhauser
- Format eBook
- Pages 285
- Language English