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Functionals of Finite Riemann Surfaces

2015-12-08 Mathematics
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Release : 2015-12-08
Genre : Mathematics
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Book Rating : 520/5 ( reviews)

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Book Synopsis Functionals of Finite Riemann Surfaces by : Menahem Schiffer

Download or read book Functionals of Finite Riemann Surfaces written by Menahem Schiffer. This book was released on 2015-12-08. Available in PDF, EPUB and Kindle. Book excerpt: An investigation of finite Riemann surfaces from the point of view of functional analysis, that is, the study of the various Abelian differentials of the surface in their dependence on the surface itself. Many new results are presented. Originally published in 1954. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Functionals of finite Riemann surfaces, by M. Schiffer and D.C. Spencer

Functions
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Genre : Functions
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Book Rating : /5 ( reviews)

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Book Synopsis Functionals of finite Riemann surfaces, by M. Schiffer and D.C. Spencer by : Menahem Schiffer

Download or read book Functionals of finite Riemann surfaces, by M. Schiffer and D.C. Spencer written by Menahem Schiffer. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

Functionals of finite Riemann surfaces

1954 Riemann surfaces
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Release : 1954
Genre : Riemann surfaces
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Functionals of finite Riemann surfaces by : Menahem Schiffer

Download or read book Functionals of finite Riemann surfaces written by Menahem Schiffer. This book was released on 1954. Available in PDF, EPUB and Kindle. Book excerpt:

Theta Functions on Riemann Surfaces

2006-11-15 Mathematics
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Release : 2006-11-15
Genre : Mathematics
Kind : eBook
Book Rating : 154/5 ( reviews)

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Book Synopsis Theta Functions on Riemann Surfaces by : J. D. Fay

Download or read book Theta Functions on Riemann Surfaces written by J. D. Fay. This book was released on 2006-11-15. Available in PDF, EPUB and Kindle. Book excerpt: These notes present new as well as classical results from the theory of theta functions on Riemann surfaces, a subject of renewed interest in recent years. Topics discussed here include: the relations between theta functions and Abelian differentials, theta functions on degenerate Riemann surfaces, Schottky relations for surfaces of special moduli, and theta functions on finite bordered Riemann surfaces.

Algebraic Curves and Riemann Surfaces

1995 Mathematics
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Release : 1995
Genre : Mathematics
Kind : eBook
Book Rating : 682/5 ( reviews)

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Book Synopsis Algebraic Curves and Riemann Surfaces by : Rick Miranda

Download or read book Algebraic Curves and Riemann Surfaces written by Rick Miranda. This book was released on 1995. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Miranda takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical intuition about surfaces, integration, and other concepts can be brought into play. Therefore, many examples of algebraic curves are presented in the first chapters. In this way, the book begins as a primer on Riemann surfaces, with complex charts and meromorphic functions taking centre stage. But the main examples come fromprojective curves, and slowly but surely the text moves toward the algebraic category. Proofs of the Riemann-Roch and Serre Dualtiy Theorems are presented in an algebraic manner, via an adaptation of the adelic proof, expressed completely in terms of solving a Mittag-Leffler problem. Sheaves andcohomology are introduced as a unifying device in the later chapters, so that their utility and naturalness are immediately obvious. Requiring a background of one term of complex variable theory and a year of abstract algebra, this is an excellent graduate textbook for a second-term course in complex variables or a year-long course in algebraic geometry.

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