Tata lectures on theta
著者
書誌事項
Tata lectures on theta
(Progress in mathematics, v. 28,
Birkhäuser, 1983-
- 1 : us
- 1 : sz
- 3 : us
- 3 : gw
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1 : usMUMF/10/8-1068222195004908,
1: usMUMF/10/K2-1068252183001177, 2: usMUMF/10/K2-2068252184002575, 3: usMUMF/10/8-3A023211996002375, 3023211996002375, 1068222186005544 -
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注記
Vol. 3 [written by] David Mumford with Madhav Nori and Peter Norman
Includes bibliographical references
内容説明・目次
- 巻冊次
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1 : us ISBN 9780817631093
内容説明
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.
目次
Introduction.- Introduction and motivation: theta functions in one variable.- Basic results on theta functions in several variables.
- 巻冊次
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3 : us ISBN 9780817634407
内容説明
This volume is the third of three in a series surveying the theory of theta functions which play a central role in the fields of complex analysis, algebraic geometry, number theory and most recently particle physics. 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). Researchers and graduate students in mathematics and physics will find these volumes to be valuable additions to their libraries.
- 巻冊次
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1 : sz ISBN 9783764331092
内容説明
This text, written by a major mathematician and Fields medalist, is part of a series which includes "Theta II PM 43" and "Theta II PM 97".
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