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Author : Menahem Schiffer
Publisher :
ISBN 13 : 9781258236182
Total Pages : 460 pages
Book Rating : 4.2/5 (361 download)
Download or read book Functionals of Finite Riemann Surfaces written by Menahem Schiffer and published by . This book was released on 2012-03-01 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Y. Rodin
Publisher : Springer Science & Business Media
ISBN 13 : 9400928858
Total Pages : 212 pages
Book Rating : 4.4/5 (9 download)
Download or read book The Riemann Boundary Problem on Riemann Surfaces written by Y. Rodin and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van GuIik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Author : Lars Valerian Ahlfors
Publisher : Princeton University Press
ISBN 13 : 9780691079394
Total Pages : 280 pages
Book Rating : 4.0/5 (793 download)
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 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Contributions to the Theory of Riemann Surfaces. (AM-30), Volume 30, will be forthcoming.
Author : Lars Valerian Ahlfors
Publisher : Princeton University Press
ISBN 13 : 140087453X
Total Pages : 397 pages
Book Rating : 4.4/5 (8 download)
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 : Alexander I. Bobenko
Publisher : Springer Science & Business Media
ISBN 13 : 3642174124
Total Pages : 268 pages
Book Rating : 4.6/5 (421 download)
Download or read book Computational Approach to Riemann Surfaces written by Alexander I. Bobenko and published by Springer Science & Business Media. This book was released on 2011-02-12 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : D. Chudnovsky
Publisher : Springer
ISBN 13 : 3540391525
Total Pages : 383 pages
Book Rating : 4.5/5 (43 download)
Download or read book The Riemann Problem, Complete Integrability and Arithmetic Applications written by D. Chudnovsky and published by Springer. This book was released on 2006-11-14 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seminar on the Riemann Problem, Complete Integrability and Arithmetic Applications
Author : Joel Feldman, Horst Knorrer, and Eugene Trubowitz
Publisher : American Mathematical Soc.
ISBN 13 : 9780821869826
Total Pages : 318 pages
Book Rating : 4.8/5 (698 download)
Download or read book Riemann Surfaces of Infinite Genus written by Joel Feldman, Horst Knorrer, and Eugene Trubowitz and published by American Mathematical Soc.. This book was released on with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Yu. L. Rodin
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (471 download)
Download or read book The Riemann Boundary Problem on Riemann Surfaces written by Yu. L. Rodin and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I︠U︡riĭ Leonidovich Rodin
Publisher : Springer
ISBN 13 :
Total Pages : 142 pages
Book Rating : 4.3/5 (91 download)
Download or read book Generalized Analytic Functions on Riemann Surfaces written by I︠U︡riĭ Leonidovich Rodin and published by Springer. This book was released on 1987 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mika Seppälä
Publisher : North Holland
ISBN 13 : 9780444888464
Total Pages : 263 pages
Book Rating : 4.8/5 (884 download)
Download or read book Geometry of Riemann Surfaces and Teichmüller Spaces written by Mika Seppälä and published by North Holland. This book was released on 1992 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: The moduli problem is to describe the structure of the space of isomorphism classes of Riemann surfaces of a given topological type. This space is known as the moduli space and has been at the center of pure mathematics for more than a hundred years. In spite of its age, this field still attracts a lot of attention, the smooth compact Riemann surfaces being simply complex projective algebraic curves. Therefore the moduli space of compact Riemann surfaces is also the moduli space of complex algebraic curves. This space lies on the intersection of many fields of mathematics and may be studied from many different points of view. The aim of this monograph is to present information about the structure of the moduli space using as concrete and elementary methods as possible. This simple approach leads to a rich theory and opens a new way of treating the moduli problem, putting new life into classical methods that were used in the study of moduli problems in the 1920s.
Author : Terrence Napier
Publisher : Springer Science & Business Media
ISBN 13 : 0817646930
Total Pages : 563 pages
Book Rating : 4.8/5 (176 download)
Download or read book An Introduction to Riemann Surfaces written by Terrence Napier and published by Springer Science & Business Media. This book was released on 2011-09-08 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents a unified approach to compact and noncompact Riemann surfaces from the point of view of the so-called L2 $\bar{\delta}$-method. This method is a powerful technique from the theory of several complex variables, and provides for a unique approach to the fundamentally different characteristics of compact and noncompact Riemann surfaces. The inclusion of continuing exercises running throughout the book, which lead to generalizations of the main theorems, as well as the exercises included in each chapter make this text ideal for a one- or two-semester graduate course.
Author : Lars Valerian Ahlfors
Publisher : Princeton University Press
ISBN 13 : 1400822491
Total Pages : 433 pages
Book Rating : 4.4/5 (8 download)
Download or read book Advances in the Theory of Riemann Surfaces. (AM-66), Volume 66 written by Lars Valerian Ahlfors and published by Princeton University Press. This book was released on 1971-07-01 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Irwin Kra
Publisher : Princeton University Press
ISBN 13 : 9780691082677
Total Pages : 536 pages
Book Rating : 4.0/5 (826 download)
Download or read book Riemann Surfaces and Related Topics written by Irwin Kra and published by Princeton University Press. This book was released on 1981-05-21 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation The description for this book, Riemann SurfaceseRelated Topics (AM-97): Proceedings of the 1978 Stony Brook Conference. (AM-97), will be forthcoming.
Author : Lars Valerian Ahlfors
Publisher : Princeton University Press
ISBN 13 : 9780691080819
Total Pages : 436 pages
Book Rating : 4.0/5 (88 download)
Download or read book Advances in the Theory of Riemann Surfaces written by Lars Valerian Ahlfors and published by Princeton University Press. This book was released on 1971-07-21 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Hermann Weyl
Publisher : Courier Corporation
ISBN 13 : 0486470040
Total Pages : 210 pages
Book Rating : 4.4/5 (864 download)
Download or read book The Concept of a Riemann Surface written by Hermann Weyl and published by Courier Corporation. This book was released on 2009-03-26 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic on the general history of functions was written by one of the 20th century's best-known mathematicians. Weyl combined function theory and geometry in this high-level landmark work, forming a new branch of mathematics and the basis of the modern approach to analysis, geometry, and topology. 1955 edition.
Author : Lipman Bers
Publisher :
ISBN 13 :
Total Pages : 586 pages
Book Rating : 4.:/5 (321 download)
Download or read book Riemann Surfaces written by Lipman Bers and published by . This book was released on 1958 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hershel M. Farkas
Publisher : Springer Science & Business Media
ISBN 13 : 1461220343
Total Pages : 379 pages
Book Rating : 4.4/5 (612 download)
Download or read book Riemann Surfaces written by Hershel M. Farkas and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text covers Riemann surface theory from elementary aspects to the fontiers of current research. Open and closed surfaces are treated with emphasis on the compact case, while basic tools are developed to describe the analytic, geometric, and algebraic properties of Riemann surfaces and the associated Abelian varities. Topics covered include existence of meromorphic functions, the Riemann-Roch theorem, Abel's theorem, the Jacobi inversion problem, Noether's theorem, and the Riemann vanishing theorem. A complete treatment of the uniformization of Riemann sufaces via Fuchsian groups, including branched coverings, is presented, as are alternate proofs for the most important results, showing the diversity of approaches to the subject. Of interest not only to pure mathematicians, but also to physicists interested in string theory and related topics.
