Tata Lectures on Theta II

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Publisher : Springer Science & Business Media
ISBN 13 : 0817645780
Total Pages : 285 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Tata Lectures on Theta II by : David Mumford

Download or read book Tata Lectures on Theta II written by David Mumford and published by Springer Science & Business Media. This book was released on 2012-04-15 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Jacobian Theta Functions and Differential Equations

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Publisher :
ISBN 13 : 9783764331108
Total Pages : 272 pages
Book Rating : 4.3/5 (311 download)

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Book Synopsis Jacobian Theta Functions and Differential Equations by :

Download or read book Jacobian Theta Functions and Differential Equations written by and published by . This book was released on 1984 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tata Lectures on Theta: Jacobian theta functions and differential equations

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (82 download)

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Book Synopsis Tata Lectures on Theta: Jacobian theta functions and differential equations by : David Mumford

Download or read book Tata Lectures on Theta: Jacobian theta functions and differential equations written by David Mumford and published by . This book was released on 1982 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tata Lectures on Theta

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (729 download)

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Book Synopsis Tata Lectures on Theta by : David Mumford

Download or read book Tata Lectures on Theta written by David Mumford and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tata Lectures on Theta III

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Publisher : Springer Science & Business Media
ISBN 13 : 0817645799
Total Pages : 210 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Tata Lectures on Theta III by : David Mumford

Download or read book Tata Lectures on Theta III written by David Mumford and published by Springer Science & Business Media. This book was released on 2010-10-22 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher : Springer Science & Business Media
ISBN 13 : 0817645772
Total Pages : 248 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Tata Lectures on Theta I by : David Mumford

Download or read book Tata Lectures on Theta I written by David Mumford and published by Springer Science & Business Media. This book was released on 2007-06-25 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : Springer Science & Business Media
ISBN 13 : 148992843X
Total Pages : 251 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Tata Lectures on Theta I by : David Mumford

Download or read book Tata Lectures on Theta I written by David Mumford and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Study of Certain Functional Equations for the [theta]-functions

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Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis A Study of Certain Functional Equations for the [theta]-functions by : Edward Burr Van Vleck

Download or read book A Study of Certain Functional Equations for the [theta]-functions written by Edward Burr Van Vleck and published by . This book was released on 1916 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ramanujan's Theta Functions

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Publisher : Springer
ISBN 13 : 3319561723
Total Pages : 696 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Ramanujan's Theta Functions by : Shaun Cooper

Download or read book Ramanujan's Theta Functions written by Shaun Cooper and published by Springer. This book was released on 2017-06-12 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theta functions were studied extensively by Ramanujan. This book provides a systematic development of Ramanujan’s results and extends them to a general theory. The author’s treatment of the subject is comprehensive, providing a detailed study of theta functions and modular forms for levels up to 12. Aimed at advanced undergraduates, graduate students, and researchers, the organization, user-friendly presentation, and rich source of examples, lends this book to serve as a useful reference, a pedagogical tool, and a stimulus for further research. Topics, especially those discussed in the second half of the book, have been the subject of much recent research; many of which are appearing in book form for the first time. Further results are summarized in the numerous exercises at the end of each chapter.

A Brief Introduction to Theta Functions

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486492958
Total Pages : 100 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis A Brief Introduction to Theta Functions by : Richard Bellman

Download or read book A Brief Introduction to Theta Functions written by Richard Bellman and published by Courier Corporation. This book was released on 2013-01-01 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: New York: Rinehart and Winston, 1961.

Development of Elliptic Functions According to Ramanujan

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Publisher : World Scientific
ISBN 13 : 9814366455
Total Pages : 185 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Development of Elliptic Functions According to Ramanujan by : K. Venkatachaliengar

Download or read book Development of Elliptic Functions According to Ramanujan written by K. Venkatachaliengar and published by World Scientific. This book was released on 2012 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book provides an innovative and efficient approach to elliptic functions, based on the ideas of the great Indian mathematician Srinivasa Ramanujan. The original 1988 monograph of K Venkatachaliengar has been completely revised. Many details, omitted from the original version, have been included, and the book has been made comprehensive by notes at the end of each chapter. The book is for graduate students and researchers in Number Theory and Classical Analysis, as well for scholars and aficionados of Ramanujan's work. It can be read by anyone with some undergraduate knowledge of real and complex analysis.

A Course of Modern Analysis

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Publisher : Cambridge University Press
ISBN 13 : 1107268583
Total Pages : 620 pages
Book Rating : 4.1/5 (72 download)

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Book Synopsis A Course of Modern Analysis by : E. T. Whittaker

Download or read book A Course of Modern Analysis written by E. T. Whittaker and published by Cambridge University Press. This book was released on 1996-09-13 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text is known to and used by thousands of mathematicians and students of mathematics throughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principal transcendental functions.

Proceedings of the London Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 540 pages
Book Rating : 4.:/5 (42 download)

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Book Synopsis Proceedings of the London Mathematical Society by :

Download or read book Proceedings of the London Mathematical Society written by and published by . This book was released on 1878 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Papers presented to J.E. Littlewood on his 80th birthday" issued as 3d ser., v. 14 A, 1965

A Course of Modern Analysis

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Publisher :
ISBN 13 :
Total Pages : 638 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis A Course of Modern Analysis by : Edmund Taylor Whittaker

Download or read book A Course of Modern Analysis written by Edmund Taylor Whittaker and published by . This book was released on 1920 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elliptic Functions

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Publisher :
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Elliptic Functions by : Peter L. Walker

Download or read book Elliptic Functions written by Peter L. Walker and published by . This book was released on 1996-11-07 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of elliptic functions represents a high point of classical analysis. Interest in the use of these mathematical tools was recently heightened by John Wile's partial proof of Fermat's Last Theorem. Now this comprehensive guide bridges the gap between elementary texts and the very high level specialist research monographs by demonstrating how the principal results can be derived using relatively modest analytical machinery. In addition to their intrinsic elegance and range, from Circular Functions to Gamma and Related, Basic Elliptic, Theta, Jacobian, Elliptic Integrals, and Modular Functions, they find uses in fields as diverse as number theory and fluid mechanics.

Partial Differential Equations

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Publisher : John Wiley & Sons
ISBN 13 : 0470054565
Total Pages : 467 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Partial Differential Equations by : Walter A. Strauss

Download or read book Partial Differential Equations written by Walter A. Strauss and published by John Wiley & Sons. This book was released on 2007-12-21 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, illustrates the incredibly rich variety of phenomena encompassed by it, and imparts a working knowledge of the most important techniques of analysis of the solutions of the equations. In this book mathematical jargon is minimized. Our focus is on the three most classical PDEs: the wave, heat and Laplace equations. Advanced concepts are introduced frequently but with the least possible technicalities. The book is flexibly designed for juniors, seniors or beginning graduate students in science, engineering or mathematics.

A Course of Modern Analysis

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521588072
Total Pages : 620 pages
Book Rating : 4.5/5 (88 download)

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Book Synopsis A Course of Modern Analysis by : E. T. Whittaker

Download or read book A Course of Modern Analysis written by E. T. Whittaker and published by Cambridge University Press. This book was released on 1927 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text is known to and used by thousands of mathematicians and students of mathematics thorughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principle transcendental functions.