Author: Menahem Schiffer
Publisher: Princeton University Press
ISBN: 1400877520
Category : Mathematics
Languages : en
Pages : 462
Book Description
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
Author: Menahem Schiffer
Publisher: Princeton University Press
ISBN: 1400877520
Category : Mathematics
Languages : en
Pages : 462
Book Description
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.
Publisher: Princeton University Press
ISBN: 1400877520
Category : Mathematics
Languages : en
Pages : 462
Book Description
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
Author: Menahem Schiffer
Publisher:
ISBN:
Category : Functions
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category : Functions
Languages : en
Pages :
Book Description
Functionals of finite Riemann surfaces
Author: Menahem Schiffer
Publisher:
ISBN:
Category : Riemann surfaces
Languages : de
Pages : 451
Book Description
Publisher:
ISBN:
Category : Riemann surfaces
Languages : de
Pages : 451
Book Description
Theta Functions on Riemann Surfaces
Author: J. D. Fay
Publisher: Springer
ISBN: 3540378154
Category : Mathematics
Languages : en
Pages : 142
Book Description
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.
Publisher: Springer
ISBN: 3540378154
Category : Mathematics
Languages : en
Pages : 142
Book Description
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.
Functional of Finite Riemann Surfaces
Author: Menahem Schiffer
Publisher:
ISBN:
Category : Superficies de Riemann
Languages : en
Pages : 451
Book Description
Publisher:
ISBN:
Category : Superficies de Riemann
Languages : en
Pages : 451
Book Description
Algebraic Curves and Riemann Surfaces
Author: Rick Miranda
Publisher: American Mathematical Soc.
ISBN: 0821802682
Category : Mathematics
Languages : en
Pages : 414
Book Description
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.
Publisher: American Mathematical Soc.
ISBN: 0821802682
Category : Mathematics
Languages : en
Pages : 414
Book Description
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.
Functions of Finite Riemann Surfaces
Author: Menahem Schiffer
Publisher:
ISBN:
Category : Riemann surfaces
Languages : en
Pages : 451
Book Description
Publisher:
ISBN:
Category : Riemann surfaces
Languages : en
Pages : 451
Book Description
Bounded Holomorphic Functions on Finite Riemann Surfaces
Author: Edgar Lee Stout
Publisher:
ISBN:
Category : Holomorphic functions
Languages : en
Pages : 172
Book Description
Publisher:
ISBN:
Category : Holomorphic functions
Languages : en
Pages : 172
Book Description
Lectures on Riemann Surfaces
Author: Otto Forster
Publisher: Springer Science & Business Media
ISBN: 1461259614
Category : Mathematics
Languages : en
Pages : 262
Book Description
This book grew out of lectures on Riemann surfaces given by Otto Forster at the universities of Munich, Regensburg, and Münster. It provides a concise modern introduction to this rewarding subject, as well as presenting methods used in the study of complex manifolds in the special case of complex dimension one. From the reviews: "This book deserves very serious consideration as a text for anyone contemplating giving a course on Riemann surfaces."—-MATHEMATICAL REVIEWS
Publisher: Springer Science & Business Media
ISBN: 1461259614
Category : Mathematics
Languages : en
Pages : 262
Book Description
This book grew out of lectures on Riemann surfaces given by Otto Forster at the universities of Munich, Regensburg, and Münster. It provides a concise modern introduction to this rewarding subject, as well as presenting methods used in the study of complex manifolds in the special case of complex dimension one. From the reviews: "This book deserves very serious consideration as a text for anyone contemplating giving a course on Riemann surfaces."—-MATHEMATICAL REVIEWS
Contributions to the Theory of Riemann Surfaces
Author: Lars Valerian Ahlfors
Publisher: Princeton University Press
ISBN: 0691079390
Category : Mathematics
Languages : en
Pages : 275
Book Description
A classic treatment of Riemann surfaces from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
Publisher: Princeton University Press
ISBN: 0691079390
Category : Mathematics
Languages : en
Pages : 275
Book Description
A classic treatment of Riemann surfaces from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.