Tata Lectures on Theta II
Download or Read eBook Tata Lectures on Theta II PDF written by David Mumford and published by Springer Science & Business Media. This book was released on 2012-04-15 with total page 285 pages. Available in PDF, EPUB and Kindle.
Author | : David Mumford |
Publisher | : Springer Science & Business Media |
Total Pages | : 285 |
Release | : 2012-04-15 |
ISBN-10 | : 9780817645786 |
ISBN-13 | : 0817645780 |
Rating | : 4/5 (86 Downloads) |
Book Synopsis Tata Lectures on Theta II by : David Mumford
Book excerpt: 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.