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Cover: 9780817645724 | Tata Lectures on Theta I | David Mumford | Taschenbuch | Paperback
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Tata Lectures on Theta I
Taschenbuch von David Mumford
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

This volume is the first 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.

Inhaltsverzeichnis
and motivation: theta functions in one variable.- Basic results on theta functions in several variables.
Details
Erscheinungsjahr: 2006
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 252
Reihe: Modern Birkhäuser Classics
Inhalt: xvi
236 S.
7 s/w Illustr.
236 p. 7 illus.
ISBN-13: 9780817645724
ISBN-10: 0817645721
Sprache: Englisch
Herstellernummer: 11936435
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Mumford, David
Auflage: Reprint of the 1983 ed.
Hersteller: Birkh„user Boston
Birkhäuser Boston
Modern Birkhäuser Classics
Maße: 235 x 155 x 14 mm
Von/Mit: David Mumford
Erscheinungsdatum: 27.12.2006
Gewicht: 0,388 kg
preigu-id: 102120954
Zusammenfassung

This volume is the first 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.

Inhaltsverzeichnis
and motivation: theta functions in one variable.- Basic results on theta functions in several variables.
Details
Erscheinungsjahr: 2006
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 252
Reihe: Modern Birkhäuser Classics
Inhalt: xvi
236 S.
7 s/w Illustr.
236 p. 7 illus.
ISBN-13: 9780817645724
ISBN-10: 0817645721
Sprache: Englisch
Herstellernummer: 11936435
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Mumford, David
Auflage: Reprint of the 1983 ed.
Hersteller: Birkh„user Boston
Birkhäuser Boston
Modern Birkhäuser Classics
Maße: 235 x 155 x 14 mm
Von/Mit: David Mumford
Erscheinungsdatum: 27.12.2006
Gewicht: 0,388 kg
preigu-id: 102120954
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