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).
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).
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.
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.
Download or read book Tata Lectures on Theta written by David Mumford and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Tata Lectures on Theta written by David Mumford and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Tata Lectures on Theta written by David Mumford and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Abelian Varieties Theta Functions and the Fourier Transform written by Alexander Polishchuk and published by Cambridge University Press. This book was released on 2003-04-21 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a modern treatment of the theory of theta functions in the context of algebraic geometry.
Download or read book Tata Lectures on Theta Ii Jacobian Theta Functions and Differential Equations written by David Mumford and published by . This book was released on 1984 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Tata Lectures on Theta II written by Mumford and published by . This book was released on 1993 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Pattern Theory written by David Mumford and published by CRC Press. This book was released on 2010-08-09 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pattern theory is a distinctive approach to the analysis of all forms of real-world signals. At its core is the design of a large variety of probabilistic models whose samples reproduce the look and feel of the real signals, their patterns, and their variability. Bayesian statistical inference then allows you to apply these models in the analysis o
Download or read book Tata Lectures on Theta written by and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Tata Lectures on Theta written by David Mumford and published by . This book was released on 1983 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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:
Download or read book Tata Lectures on Theta written by David Mumford and published by . This book was released on with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Tata Lectures on Theta Tata Lectures on Theta III 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:
