Extremal Riemann Surfaces

Author : John R. Quine
Publisher : American Mathematical Soc.
ISBN 13 : 0821805142
Total Pages : 258 pages
Book Rating : 4.45/5 ( download)

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Download or read book Extremal Riemann Surfaces written by John R. Quine and published by American Mathematical Soc.. This book was released on 1997 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Other papers deal with maximizing or minimizing functions defined by the spectrum such as the heat kernel, the zeta function, and the determinant of the Laplacian, some from the point of view of identifying an extremal metric.

Author : Andrei Bogatyrev
Publisher : Springer Science & Business Media
ISBN 13 : 3642256341
Total Pages : 173 pages
Book Rating : 4.49/5 ( download)

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Download or read book Extremal Polynomials and Riemann Surfaces written by Andrei Bogatyrev and published by Springer Science & Business Media. This book was released on 2012-05-31 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problems of conditional optimization of the uniform (or C-) norm for polynomials and rational functions arise in various branches of science and technology. Their numerical solution is notoriously difficult in case of high degree functions. The book develops the classical Chebyshev's approach which gives analytical representation for the solution in terms of Riemann surfaces. The techniques born in the remote (at the first glance) branches of mathematics such as complex analysis, Riemann surfaces and Teichmüller theory, foliations, braids, topology are applied to approximation problems. The key feature of this book is the usage of beautiful ideas of contemporary mathematics for the solution of applied problems and their effective numerical realization. This is one of the few books where the computational aspects of the higher genus Riemann surfaces are illuminated. Effective work with the moduli spaces of algebraic curves provides wide opportunities for numerical experiments in mathematics and theoretical physics.​

Author : Lars Valerian Ahlfors
Publisher : Princeton University Press
ISBN 13 : 0691079390
Total Pages : 275 pages
Book Rating : 4.94/5 ( download)

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Download or read book Contributions to the Theory of Riemann Surfaces written by Lars Valerian Ahlfors and published by Princeton University Press. This book was released on 1953-08-21 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Benson Farb
Publisher : American Mathematical Soc.
ISBN 13 : 0821898876
Total Pages : 371 pages
Book Rating : 4.71/5 ( download)

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Download or read book Moduli Spaces of Riemann Surfaces written by Benson Farb and published by American Mathematical Soc.. This book was released on 2013-08-16 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mapping class groups and moduli spaces of Riemann surfaces were the topics of the Graduate Summer School at the 2011 IAS/Park City Mathematics Institute. This book presents the nine different lecture series comprising the summer school, covering a selection of topics of current interest. The introductory courses treat mapping class groups and Teichmüller theory. The more advanced courses cover intersection theory on moduli spaces, the dynamics of polygonal billiards and moduli spaces, the stable cohomology of mapping class groups, the structure of Torelli groups, and arithmetic mapping class groups. The courses consist of a set of intensive short lectures offered by leaders in the field, designed to introduce students to exciting, current research in mathematics. These lectures do not duplicate standard courses available elsewhere. The book should be a valuable resource for graduate students and researchers interested in the topology, geometry and dynamics of moduli spaces of Riemann surfaces and related topics. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.

Author : Lars Valerian Ahlfors
Publisher : Princeton University Press
ISBN 13 : 140087453X
Total Pages : 397 pages
Book Rating : 4.38/5 ( download)

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Download or read book Riemann Surfaces written by Lars Valerian Ahlfors and published by Princeton University Press. This book was released on 2015-12-08 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Otto Forster
Publisher : Springer Science & Business Media
ISBN 13 : 1461259614
Total Pages : 262 pages
Book Rating : 4.19/5 ( download)

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Download or read book Lectures on Riemann Surfaces written by Otto Forster and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Hermann Weyl
Publisher : Courier Corporation
ISBN 13 : 048613167X
Total Pages : 210 pages
Book Rating : 4.72/5 ( download)

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Download or read book The Concept of a Riemann Surface written by Hermann Weyl and published by Courier Corporation. This book was released on 2013-12-31 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Dror Varolin
Publisher : American Mathematical Soc.
ISBN 13 : 0821884271
Total Pages : 258 pages
Book Rating : 4.70/5 ( download)

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Download or read book Riemann Surfaces by Way of Complex Analytic Geometry written by Dror Varolin and published by American Mathematical Soc.. This book was released on with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Gábor Székelyhidi
Publisher : American Mathematical Soc.
ISBN 13 : 1470410478
Total Pages : 210 pages
Book Rating : 4.76/5 ( download)

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Download or read book An Introduction to Extremal Kahler Metrics written by Gábor Székelyhidi and published by American Mathematical Soc.. This book was released on 2014-06-19 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: A basic problem in differential geometry is to find canonical metrics on manifolds. The best known example of this is the classical uniformization theorem for Riemann surfaces. Extremal metrics were introduced by Calabi as an attempt at finding a higher-dimensional generalization of this result, in the setting of Kähler geometry. This book gives an introduction to the study of extremal Kähler metrics and in particular to the conjectural picture relating the existence of extremal metrics on projective manifolds to the stability of the underlying manifold in the sense of algebraic geometry. The book addresses some of the basic ideas on both the analytic and the algebraic sides of this picture. An overview is given of much of the necessary background material, such as basic Kähler geometry, moment maps, and geometric invariant theory. Beyond the basic definitions and properties of extremal metrics, several highlights of the theory are discussed at a level accessible to graduate students: Yau's theorem on the existence of Kähler-Einstein metrics, the Bergman kernel expansion due to Tian, Donaldson's lower bound for the Calabi energy, and Arezzo-Pacard's existence theorem for constant scalar curvature Kähler metrics on blow-ups.

Author : R. Narasimhan
Publisher : Birkhäuser
ISBN 13 : 3034886179
Total Pages : 127 pages
Book Rating : 4.78/5 ( download)

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Download or read book Compact Riemann Surfaces written by R. Narasimhan and published by Birkhäuser. This book was released on 2012-12-06 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: