A Primer On Riemann Surfaces

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A Primer On Riemann Surfaces

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Author : Alan. F. Beardon
language : en
Publisher:
Release Date : 1984

A Primer On Riemann Surfaces written by Alan. F. Beardon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Riemann surfaces categories.

A Primer On Riemann Surfaces

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Author : A. F. Beardon
language : en
Publisher: CUP Archive
Release Date : 1984-10-18

A Primer On Riemann Surfaces written by A. F. Beardon and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-10-18 with Mathematics categories.

Riemann Surfaces

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Author : Alan Beardon
language : en
Publisher: London Mathematical Society Student Texts S.
Release Date : 2012-03-01

Riemann Surfaces written by Alan Beardon and has been published by London Mathematical Society Student Texts S. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-01 with Mathematics categories.

This textbook, aimed at advanced undergraduate or beginning graduate students in mathematics, introduces both the theory of Riemann surfaces, and of analytic functions between Riemann surfaces. The first half of the book describes the basic theory, the second half develops the theory of harmonic and subharmonic functions on a Riemann surface, and culminates with a detailed proof of the famous Uniformisation Theorem and some of its applications to Riemann surface theory. The book is a major revision of the author's earlier 'Primer', with new chapters and more exercises and examples.

Algebraic Curves And Riemann Surfaces

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Author : Rick Miranda
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

Algebraic Curves And Riemann Surfaces written by Rick Miranda and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.

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.

Riemann Surfaces

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Author : Alan Beardon
language : en
Publisher:
Release Date : 2008-03

Riemann Surfaces written by Alan Beardon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03 with Mathematics categories.

This textbook, aimed at advanced undergraduate or beginning graduate students in mathematics, introduces both the theory of Riemann surfaces, and of analytic functions between Riemann surfaces. The first half of the book describes the basic theory, the second half develops the theory of harmonic and subharmonic functions on a Riemann surface, and culminates with a detailed proof of the famous Uniformisation Theorem and some of its applications to Riemann surface theory. The book is a major revision of the author's earlier 'Primer', with new chapters and more exercises and examples.

A Primer On Mapping Class Groups

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Author : Benson Farb
language : en
Publisher: Princeton University Press
Release Date : 2012

A Primer On Mapping Class Groups written by Benson Farb and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.

The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students. A Primer on Mapping Class Groups begins by explaining the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. Along the way, central objects and tools are introduced, such as the Birman exact sequence, the complex of curves, the braid group, the symplectic representation, and the Torelli group. The book then introduces Teichmüller space and its geometry, and uses the action of Mod(S) on it to prove the Nielsen-Thurston classification of surface homeomorphisms. Topics include the topology of the moduli space of Riemann surfaces, the connection with surface bundles, pseudo-Anosov theory, and Thurston's approach to the classification.

Mathematical Perspectives On Theoretical Physics

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Author : Nirmala Prakash
language : en
Publisher: Imperial College Press
Release Date : 2003

Mathematical Perspectives On Theoretical Physics written by Nirmala Prakash and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.

Readership: Upper level undergraduates, graduate students, lecturers and researchers in theoretical, mathematical and quantum physics.

Mostly Surfaces

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Author : Richard Evan Schwartz
language : en
Publisher: American Mathematical Soc.
Release Date : 2011

Mostly Surfaces written by Richard Evan Schwartz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.

The goal of the book is to present a tapestry of ideas from various areas of mathematics in a clear and rigorous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis. --from publisher description.

Introduction To Compact Riemann Surfaces And Dessins D Enfants

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Author : Ernesto Girondo
language : en
Publisher: Cambridge University Press
Release Date : 2012

Introduction To Compact Riemann Surfaces And Dessins D Enfants written by Ernesto Girondo and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.

An elementary account of the theory of compact Riemann surfaces and an introduction to the Belyi-Grothendieck theory of dessins d'enfants.

A Primer Of Analytic Number Theory

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Author : Jeffrey Stopple
language : en
Publisher: Cambridge University Press
Release Date : 2003-06-23

A Primer Of Analytic Number Theory written by Jeffrey Stopple and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-23 with Mathematics categories.

This 2003 undergraduate introduction to analytic number theory develops analytic skills in the course of studying ancient questions on polygonal numbers, perfect numbers and amicable pairs. The question of how the primes are distributed amongst all the integers is central in analytic number theory. This distribution is determined by the Riemann zeta function, and Riemann's work shows how it is connected to the zeroes of his function, and the significance of the Riemann Hypothesis. Starting from a traditional calculus course and assuming no complex analysis, the author develops the basic ideas of elementary number theory. The text is supplemented by series of exercises to further develop the concepts, and includes brief sketches of more advanced ideas, to present contemporary research problems at a level suitable for undergraduates. In addition to proofs, both rigorous and heuristic, the book includes extensive graphics and tables to make analytic concepts as concrete as possible.