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Tata Lectures On Theta Iii

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Tata Lectures On Theta Iii

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Author : David Mumford
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-22

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 2010-10-22 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 Tata Lectures On Theta Iii

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Author : David Mumford
language : en
Publisher:
Release Date : 1983

Tata Lectures On Theta Tata Lectures On Theta Iii 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 1983 with Functions, Theta categories.

Tata Lectures On Theta I

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Author : David Mumford
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

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 2013-12-01 with Mathematics categories.

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.

Tata Lectures On Theta Iii

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Author : Mumford
language : en
Publisher:
Release Date : 1991

Tata Lectures On Theta Iii written by Mumford and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 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 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.