Bibliographic Information

Tata lectures on theta

David Mumford with the collaboration of C. Musili, M. Nori, E. Previanto, and M. Stillman

(Progress in mathematics, v. 28, v. 97)

Birkhäuser, 1983-

  • 1 : us
  • 1 : sz
  • 3 : us
  • 3 : gw

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Note

Vol. 3 [written by] David Mumford with Madhav Nori and Peter Norman

Includes bibliographical references

Description and Table of Contents

Volume

1 : us ISBN 9780817631093

Description

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.

Table of Contents

Introduction.- Introduction and motivation: theta functions in one variable.- Basic results on theta functions in several variables.
Volume

3 : us ISBN 9780817634407

Description

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.
Volume

1 : sz ISBN 9783764331092

Description

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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Details

  • NCID
    BA12865433
  • ISBN
    • 0817631097
    • 3764331097
    • 0817634401
    • 3764334401
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Boston
  • Pages/Volumes
    v.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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