Contributions To The Theory Of Riemann Surfaces

Author : Lars Valerian Ahlfors,E. Calabi,Marston Morse,Leo Sario,Donald Clayton Spencer
Publisher : Princeton University Press
Page : 275 pages
File Size : 50,5 Mb
Release : 1953-08-21
Category : Mathematics
ISBN : 9780691079394

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Contributions to the Theory of Riemann Surfaces by Lars Valerian Ahlfors,E. Calabi,Marston Morse,Leo Sario,Donald Clayton Spencer Pdf

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.

Author : Lars Valerian Ahlfors
Publisher : Unknown
Page : 264 pages
File Size : 47,6 Mb
Release : 1957
Category : Electronic
ISBN : OCLC:422365422

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Contributions to the Theory of Riemann Surfaces by Lars Valerian Ahlfors Pdf

Author : Lars Valerian Ahlfors
Publisher : Unknown
Page : 288 pages
File Size : 54,8 Mb
Release : 1953
Category : Analytic continuation
ISBN : STANFORD:36105002014087

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Contributions to the Theory of Riemann Surfaces by Lars Valerian Ahlfors Pdf

Author : Lars Valerian Ahlfors,E. Calabi,Marston Morse,Leo Sario,Donald Clayton Spencer
Publisher : Princeton University Press
Page : 280 pages
File Size : 45,7 Mb
Release : 1953-08-21
Category : Mathematics
ISBN : 0691079390

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Contributions to the Theory of Riemann Surfaces by Lars Valerian Ahlfors,E. Calabi,Marston Morse,Leo Sario,Donald Clayton Spencer Pdf

The description for this book, Contributions to the Theory of Riemann Surfaces. (AM-30), Volume 30, will be forthcoming.

Author : Lars Valerian Ahlfors,E. Calabi,Marston Morse,Leo Sario,Donald Clayton Spencer
Publisher : Princeton University Press
Page : 264 pages
File Size : 47,6 Mb
Release : 1953-08-01
Category : Mathematics
ISBN : 9781400828371

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Contributions to the Theory of Riemann Surfaces. (AM-30), Volume 30 by Lars Valerian Ahlfors,E. Calabi,Marston Morse,Leo Sario,Donald Clayton Spencer Pdf

The description for this book, Contributions to the Theory of Riemann Surfaces. (AM-30), Volume 30, will be forthcoming.

Author : Alexander I. Bobenko TU Berlin,Christian Klein
Publisher : Springer
Page : 264 pages
File Size : 45,9 Mb
Release : 2011-02-03
Category : Mathematics
ISBN : 9783642174131

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Computational Approach to Riemann Surfaces by Alexander I. Bobenko TU Berlin,Christian Klein Pdf

This volume offers a well-structured overview of existent computational approaches to Riemann surfaces and those currently in development. The authors of the contributions represent the groups providing publically available numerical codes in this field. Thus this volume illustrates which software tools are available and how they can be used in practice. In addition examples for solutions to partial differential equations and in surface theory are presented. The intended audience of this book is twofold. It can be used as a textbook for a graduate course in numerics of Riemann surfaces, in which case the standard undergraduate background, i.e., calculus and linear algebra, is required. In particular, no knowledge of the theory of Riemann surfaces is expected; the necessary background in this theory is contained in the Introduction chapter. At the same time, this book is also intended for specialists in geometry and mathematical physics applying the theory of Riemann surfaces in their research. It is the first book on numerics of Riemann surfaces that reflects the progress made in this field during the last decade, and it contains original results. There are a growing number of applications that involve the evaluation of concrete characteristics of models analytically described in terms of Riemann surfaces. Many problem settings and computations in this volume are motivated by such concrete applications in geometry and mathematical physics.

Author : Hermann Weyl
Publisher : Courier Corporation
Page : 210 pages
File Size : 49,5 Mb
Release : 2013-12-31
Category : Mathematics
ISBN : 9780486131672

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The Concept of a Riemann Surface by Hermann Weyl Pdf

This classic on the general history of functions combines function theory and geometry, forming the basis of the modern approach to analysis, geometry, and topology. 1955 edition.

Author : Rick Miranda
Publisher : American Mathematical Soc.
Page : 390 pages
File Size : 41,8 Mb
Release : 1995
Category : Mathematics
ISBN : 9780821802687

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Algebraic Curves and Riemann Surfaces by Rick Miranda Pdf

The book was easy to understand, with many examples. The exercises were well chosen, and served to give further examples and developments of the theory. --William Goldman, University of Maryland 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 center stage. But the main examples come from projective curves, and slowly but surely the text moves toward the algebraic category. Proofs of the Riemann-Roch and Serre Duality 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 and cohomology are introduced as a unifying device in the latter chapters, so that their utility and naturalness are immediately obvious. Requiring a background of one semester of complex variable theory and a year of abstract algebra, this is an excellent graduate textbook for a second-semester course in complex variables or a year-long course in algebraic geometry.

Author : Lars Valerian Ahlfors,Leo Sario
Publisher : Princeton University Press
Page : 397 pages
File Size : 52,8 Mb
Release : 2015-12-08
Category : Mathematics
ISBN : 9781400874538

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Riemann Surfaces by Lars Valerian Ahlfors,Leo Sario Pdf

The theory of Riemann surfaces has a geometric and an analytic part. The former deals with the axiomatic definition of a Riemann surface, methods of construction, topological equivalence, and conformal mappings of one Riemann surface on another. The analytic part is concerned with the existence and properties of functions that have a special character connected with the conformal structure, for instance: subharmonic, harmonic, and analytic functions. Originally published in 1960. 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.

Author : Robert D.M. Accola
Publisher : Springer
Page : 117 pages
File Size : 44,7 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540490562

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Topics in the Theory of Riemann Surfaces by Robert D.M. Accola Pdf

The book's main concern is automorphisms of Riemann surfaces, giving a foundational treatment from the point of view of Galois coverings, and treating the problem of the largest automorphism group for a Riemann surface of a given genus. In addition, the extent to which fixed points of automorphisms are generalized Weierstrass points is considered. The extremely useful inequality of Castelnuovo- Severi is also treated. While the methods are elementary, much of the material does not appear in the current texts on Riemann surfaces, algebraic curves. The book is accessible to a reader who has had an introductory course on the theory of Riemann surfaces or algebraic curves.

Author : David Mumford
Publisher : Princeton University Press
Page : 212 pages
File Size : 47,5 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882069

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Lectures on Curves on an Algebraic Surface. (AM-59), Volume 59 by David Mumford Pdf

These lectures, delivered by Professor Mumford at Harvard in 1963-1964, are devoted to a study of properties of families of algebraic curves, on a non-singular projective algebraic curve defined over an algebraically closed field of arbitrary characteristic. The methods and techniques of Grothendieck, which have so changed the character of algebraic geometry in recent years, are used systematically throughout. Thus the classical material is presented from a new viewpoint.

Author : Lamberto Cesari
Publisher : Princeton University Press
Page : 595 pages
File Size : 53,5 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882328

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Surface Area. (AM-35), Volume 35 by Lamberto Cesari Pdf

The description for this book, Surface Area. (AM-35), Volume 35, will be forthcoming.

Author : Lars Valerian Ahlfors,Lipman Bers
Publisher : Princeton University Press
Page : 433 pages
File Size : 52,9 Mb
Release : 1971-07-01
Category : Mathematics
ISBN : 9781400822492

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Advances in the Theory of Riemann Surfaces. (AM-66), Volume 66 by Lars Valerian Ahlfors,Lipman Bers Pdf

Intended for researchers in Riemann surfaces, this volume summarizes a significant portion of the work done in the field during the years 1966 to 1971.

Author : Joel S. Feldman,Horst Knörrer,Eugene Trubowitz
Publisher : American Mathematical Soc.
Page : 306 pages
File Size : 51,9 Mb
Release : 2003
Category : Riemann surfaces
ISBN : 9780821833575

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Riemann Surfaces of Infinite Genus by Joel S. Feldman,Horst Knörrer,Eugene Trubowitz Pdf

In this book, the authors geometrically construct Riemann surfaces of infinite genus by pasting together plane domains and handles. To achieve a meaningful generalization of the classical theory of Riemann surfaces to the case of infinite genus, one must impose restrictions on the asymptotic behavior of the Riemann surface. In the construction carried out here, these restrictions are formulated in terms of the sizes and locations of the handles and in terms of the gluing maps. The approach used has two main attractions. The first is that much of the classical theory of Riemann surfaces, including the Torelli theorem, can be generalized to this class. The second is that solutions of Kadomcev-Petviashvilli equations can be expressed in terms of theta functions associated with Riemann surfaces of infinite genus constructed in the book. Both of these are developed here. The authors also present in detail a number of important examples of Riemann surfaces of infinite genus (hyperelliptic surfaces of infinite genus, heat surfaces and Fermi surfaces). The book is suitable for graduate students and research mathematicians interested in analysis and integrable systems.

Author : Anonim
Publisher : princeton alumni weekly
Page : 1002 pages
File Size : 47,6 Mb
Release : 1957
Category : Electronic
ISBN : PRNC:32101081976928

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Princeton Alumni Weekly by Anonim Pdf