Tata Lectures On Theta
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Author | : David Mumford |
Publisher | : Springer Science & Business Media |
Total Pages | : 248 |
Release | : 2007-06-25 |
Genre | : Mathematics |
ISBN | : 0817645772 |
This volume is the first of three in a series surveying the theory of theta functions. Based on lectures given by the author at the Tata Institute of Fundamental Research in Bombay, these volumes constitute a systematic exposition of theta functions, beginning with their historical roots as analytic functions in one variable (Volume I), touching on some of the beautiful ways they can be used to describe moduli spaces (Volume II), and culminating in a methodical comparison of theta functions in analysis, algebraic geometry, and representation theory (Volume III).
Author | : David Mumford |
Publisher | : Springer Science & Business Media |
Total Pages | : 210 |
Release | : 2010-10-22 |
Genre | : Mathematics |
ISBN | : 0817645799 |
This volume is the third of three in a series surveying the theory of theta functions. Based on lectures given by the author at the Tata Institute of Fundamental Research in Bombay, these volumes constitute a systematic exposition of theta functions, beginning with their historical roots as analytic functions in one variable (Volume I), touching on some of the beautiful ways they can be used to describe moduli spaces (Volume II), and culminating in a methodical comparison of theta functions in analysis, algebraic geometry, and representation theory (Volume III).
Author | : David Mumford |
Publisher | : Springer Science & Business Media |
Total Pages | : 251 |
Release | : 2013-12-01 |
Genre | : Mathematics |
ISBN | : 148992843X |
The first of a series of three volumes surveying the theory of theta functions and its significance in the fields of representation theory and algebraic geometry, this volume deals with the basic theory of theta functions in one and several variables, and some of its number theoretic applications. Requiring no background in advanced algebraic geometry, the text serves as a modern introduction to the subject.
Author | : David Mumford |
Publisher | : Springer Science & Business Media |
Total Pages | : 285 |
Release | : 2012-04-15 |
Genre | : Mathematics |
ISBN | : 0817645780 |
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.
Author | : David Mumford |
Publisher | : |
Total Pages | : |
Release | : 2007 |
Genre | : Functions, Theta |
ISBN | : |
Author | : Alexander Polishchuk |
Publisher | : Cambridge University Press |
Total Pages | : 308 |
Release | : 2003-04-21 |
Genre | : Mathematics |
ISBN | : 0521808049 |
Presents a modern treatment of the theory of theta functions in the context of algebraic geometry.
Author | : David Mumford |
Publisher | : |
Total Pages | : |
Release | : 1984 |
Genre | : |
ISBN | : |
Author | : Shaun Cooper |
Publisher | : Springer |
Total Pages | : 696 |
Release | : 2017-06-12 |
Genre | : Mathematics |
ISBN | : 3319561723 |
Theta functions were studied extensively by Ramanujan. This book provides a systematic development of Ramanujan’s results and extends them to a general theory. The author’s treatment of the subject is comprehensive, providing a detailed study of theta functions and modular forms for levels up to 12. Aimed at advanced undergraduates, graduate students, and researchers, the organization, user-friendly presentation, and rich source of examples, lends this book to serve as a useful reference, a pedagogical tool, and a stimulus for further research. Topics, especially those discussed in the second half of the book, have been the subject of much recent research; many of which are appearing in book form for the first time. Further results are summarized in the numerous exercises at the end of each chapter.
Author | : David Mumford |
Publisher | : CRC Press |
Total Pages | : 422 |
Release | : 2010-08-09 |
Genre | : Computers |
ISBN | : 1439865566 |
Pattern theory is a distinctive approach to the analysis of all forms of real-world signals. At its core is the design of a large variety of probabilistic models whose samples reproduce the look and feel of the real signals, their patterns, and their variability. Bayesian statistical inference then allows you to apply these models in the analysis o
Author | : David Mumford |
Publisher | : |
Total Pages | : 272 |
Release | : 1984 |
Genre | : |
ISBN | : |