-PDF Download- Tata Lectures On Theta Ii EBOOK

Tata Lectures on Theta II

Author: David Mumford

Publisher: Springer Science & Business Media

Published: 2012-04-15

Total Pages: 285

ISBN-13: 0817645780

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.

Tata Lectures on Theta II ...

Author: Mumford

Publisher:

Published: 1993

Total Pages:

ISBN-13:

DOWNLOAD EBOOK →

Jacobian Theta Functions and Differential Equations

Author:

Publisher:

Published: 1984

Total Pages: 272

ISBN-13: 9783764331108

DOWNLOAD EBOOK →

Tata Lectures on Theta III

Author: David Mumford

Publisher: Springer Science & Business Media

Published: 2010-10-22

Total Pages: 210

ISBN-13: 0817645799

DOWNLOAD EBOOK →

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

Author: David Mumford

Publisher: Springer Science & Business Media

Published: 2007-06-25

Total Pages: 248

ISBN-13: 0817645772

DOWNLOAD EBOOK →

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 I

Author: David Mumford

Publisher: Springer Science & Business Media

Published: 1983-01-01

Total Pages: 266

ISBN-13: 9780817631093

DOWNLOAD EBOOK →

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.