Tata Lectures on Theta II | Jacobian theta functions and differential equations

David Mumford

ISBN 10: 0817645691 / ISBN 13: 9780817645694

Verlag: Birkhäuser, 2006

Tata Lectures on Theta II | Jacobian theta functions and differential equations | David Mumford | Taschenbuch | Modern Birkhäuser Classics | xiv | Englisch | 2006 | Birkhäuser | EAN 9780817645694 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Bestandsnummer des Verkäufers 102120953

Inhaltsangabe:

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.

Über die Autorin bzw. den Autor: Biography of David Mumford David Mumford was born on June 11, 1937 in England and has been associated with Harvard University continuously from entering as freshman to his present position of Higgins Professor of Mathematics. Mumford worked in the fields of Algebraic Gemetry in the 60's and 70's, concentrating especially on the theory of moduli spaces: spaces which classify all objects of some type, such as all curves of a given genus or all vector bundles on a fixed curve of given rank and degree. Mumford was awarded the Fields Medal in 1974 for his work on moduli spaces and algebraic surfaces. He is presently working on the mathematics of pattern recognition and artificial intelligence.

Bibliografische Details

Titel: Tata Lectures on Theta II | Jacobian theta ...
Verlag: Birkhäuser
Erscheinungsdatum: 2006
Einband: Taschenbuch
Zustand: Neu