Tata Lectures on Theta I by David Mumford Qc
This volume contains the first two out of four chapters which are intended to survey a large part of the theory of theta functions. These notes grew out of a series of lectures given at the Tata Institute of Fundamental Research in the period October, 1978, to March, 1979, on which notes were taken and excellently written up by C. Musili and M. Nori. I subsequently lectured at greater length on the contents of Chapter III at Harvard in the fall of 1979 and at a Summer School in Montreal in August, 1980, and again notes were very capably put together by E. Previato and M. Stillman, respectively. Both the Tata Institute and the University of Montreal publish lecture note series in which I had promised to place write-ups of my lectures there. However, as the project grew, it became clear that it was better to tie all these results together, rearranging and consolidating the material, and to make them available from one place. I am very grateful to the Tata Institute and the University of Montreal for permission to do this, and to Birkhauser-Boston for publishing the final result. The first 2 chapters study theta functions strictly from the viewpoint of classical analysis. In particular, in Chapter I, my goal was to explain in the simplest cases why the theta functions attracted attention.David Mumford's biography David Mumford was born in England on June 11, 1937, and has been a part of Harvard University since he was a freshman till now, when he is the Higgins Professor of Mathematics. Mumford worked on the domains of algebraic geometry in the 1960s and 1970s, specializing in the theory of moduli spaces, which are spaces that classify all objects of a particular type, such as all curves of a specific genus or all vector bundles on a fixed curve of a specified rank and degree. In 1974, Mumford received the Fields Medal for his contributions to moduli spaces and algebraic surfaces. He is currently working on pattern recognition and artificial intelligence mathematics.
SKU | NIN9780817645724 |
ISBN 13 | 9780817645724 |
ISBN 10 | 0817645721 |
Title | Tata Lectures on Theta I |
Author | David Mumford Qc |
Series | Modern Birkhauser Classics |
Condition | New |
Binding Type | Paperback |
Publisher | Birkhauser Boston Inc |
Year published | 2006-12-27 |
Number of pages | 236 |
Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
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