Tata Lectures on Theta II: Jacobian theta functions and differential equations: Jacobean Theta Functions and Differential Equations: 2 (Progress in Mathematics)
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.
*An electronic version of a printed book that can be read on a computer or handheld device designed specifically for this purpose.
Formats for this Ebook
|Required Software||Any PDF Reader, Apple Preview|
|Supported Devices||Windows PC/PocketPC, Mac OS, Linux OS, Apple iPhone/iPod Touch.|
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|Flowing Text / Pages||Pages|
- PDF | 276 pages
- David Mumford(Author) C. Musili(Contributor) M. Nori(Contributor) E. Previato(Contributor) M. Stillman(Contributor) H. Umemura(Contributor)
- Birkhäuser (1 Dec. 1992)
- Science & Nature
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The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type (Lecture Notes in Mathematics)