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Tata Lectures On Theta I

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Tata Lectures On Theta I

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Author : David Mumford
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-12-27

Tata Lectures On Theta I written by David Mumford and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-27 with Mathematics categories.

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).

Tata Lectures On Theta Iii

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Author : David Mumford
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-12-22

Tata Lectures On Theta Iii written by David Mumford and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-22 with Mathematics categories.

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).

Tata Lectures On Theta I

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Author : David Mumford
language : en
Publisher: Birkhäuser
Release Date : 1990-01-01

Tata Lectures On Theta I written by David Mumford and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-01-01 with Mathematics categories.

Tata Lectures On Theta I

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Author : David Mumford
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-25

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.

Tata Lectures On Theta

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Author : David Mumford
language : en
Publisher:
Release Date : 1984

Tata Lectures On Theta written by David Mumford and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.

Tata Lectures On Theta I

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Author : David Mumford
language : en
Publisher:
Release Date : 2011-03-21

Tata Lectures On Theta I written by David Mumford and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-21 with categories.

Tata Lectures On Theta Ii

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Author : David Mumford
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-15

Tata Lectures On Theta Ii written by David Mumford and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-15 with Mathematics categories.

The second in a series of three volumes surveying the theory of theta functions, this volume gives emphasis to 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. This book 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. A definitive body of information and research on the subject of theta functions, this volume will be a useful addition to individual and mathematics research libraries.

Tata Lectures On Theta I

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