Quasiconformal Mappings, Riemann Surfaces, and Teichmuller Spaces, Yunping Jiang, Sudeb Mitra

Автор: Peter Duren; Juha Heinonen; Brad Osgood; Bruce Pal
Название: Quasiconformal Mappings and Analysis
ISBN: 1461268362 ISBN-13(EAN): 9781461268369
Издательство: Springer
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Цена: 93160.00 T
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Описание: Aptly named `Television`s First Lady` by Walter Ames of the Los Angeles Times, actress Beverly Garland (1926-2008) is also regarded as a Western and science-fiction film icon. In addition to more than 700 TV appearances, she made more than 55 feature and made-for-television films. This comprehensive biography includes a foreword and afterword by her colleagues Joseph Campanella and Peggy Webber.

Автор: Benoit Fresse
Название: Homotopy of Operads and Grothendieck-Teichmuller Groups: Part 1: The Algebraic Theory and its Topological Background
ISBN: 1470434814 ISBN-13(EAN): 9781470434816
Издательство: Mare Nostrum (Eurospan)
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Цена: 107850.00 T
Наличие на складе: Невозможна поставка.
Описание: The Grothendieck-Teichmuller group was defined by Drinfeld in quantum group theory with insights coming from the Grothendieck program in Galois theory. The ultimate goal of this book is to explain that this group has a topological interpretation as a group of homotopy automorphisms associated to the operad of little 2-discs, which is an object used to model commutative homotopy structures in topology. This volume gives a comprehensive survey on the algebraic aspects of this subject. The book explains the definition of an operad in a general context, reviews the definition of the little discs operads, and explains the definition of the Grothendieck-Teichmuller group from the viewpoint of the theory of operads. In the course of this study, the relationship between the little discs operads and the definition of universal operations associated to braided monoidal category structures is explained. Also provided is a comprehensive and self-contained survey of the applications of Hopf algebras to the definition of a rationalization process, the Malcev completion, for groups and groupoids. Most definitions are carefully reviewed in the book; it requires minimal prerequisites to be accessible to a broad readership of graduate students and researchers interested in the applications of operads.

Автор: Benoit Fresse
Название: Homotopy of Operads and Grothendieck-Teichmuller Groups: Part 2: The Applications of (Rational) Homotopy Theory Methods
ISBN: 1470434822 ISBN-13(EAN): 9781470434823
Издательство: Mare Nostrum (Eurospan)
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Цена: 107850.00 T
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Описание: The ultimate goal of this book is to explain that the Grothendieck-Teichmuller group, as defined by Drinfeld in quantum group theory, has a topological interpretation as a group of homotopy automorphisms associated to the little 2-disc operad. To establish this result, the applications of methods of algebraic topology to operads must be developed. This volume is devoted primarily to this subject, with the main objective of developing a rational homotopy theory for operads. The book starts with a comprehensive review of the general theory of model categories and of general methods of homotopy theory. The definition of the Sullivan model for the rational homotopy of spaces is revisited, and the definition of models for the rational homotopy of operads is then explained. The applications of spectral sequence methods to compute homotopy automorphism spaces associated to operads are also explained. This approach is used to get a topological interpretation of the Grothendieck-Teichmuller group in the case of the little 2-disc operad. This volume is intended for graduate students and researchers interested in the applications of homotopy theory methods in operad theory. It is accessible to readers with a minimal background in classical algebraic topology and operad theory.

Автор: Paraskevas Alvanos
Название: Riemann-Roch Spaces and Computation
ISBN: 3110426137 ISBN-13(EAN): 9783110426137
Издательство: Walter de Gruyter
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Цена: 49530.00 T
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Описание: The book focuses on the educational perspective of Riemann-Roch spaces and the computation of algebraic structures connected to the Riemann-Roch theorem, which is a useful tool in fields of complex analysis and algebraic geometry. On one hand, the theorem connects the Riemann surface with its topological genus, and on the other it allows us to compute the algebraic function field spaces. In the first part of this book, algebraic structures and some of their properties are presented. The second part shows efficient algorithms and examples connected to Riemann-Roch spaces. What is important, a variety of examples with codes of algorithms are given in the book, covering the majority of the cases.

Автор: Oleg K. Sheinman
Название: Current Algebras on Riemann Surfaces
ISBN: 3110263963 ISBN-13(EAN): 9783110263961
Издательство: Walter de Gruyter
Цена: 126570.00 T
Наличие на складе: Нет в наличии.
Описание: This monograph is an introduction into a new and fast developing field on the crossroads of infinite-dimensional Lie algebra theory and contemporary mathematical physics. It contains a self-consistent presentation of the theory of Krichever-Novikov algebras, Lax operator algebras, their interaction, representation theory, relations to moduli spaces of Riemann surfaces and holomorphic vector bundles on them, to Lax integrable systems, and conformal field theory. For beginners, the book provides a short way to join in the investigations in these fields. For experts, it sums up the recent advances in the theory of almost graded infinite-dimensional Lie algebras and their applications.The book may serve as a base for semester lecture courses on finite-dimensional integrable systems, conformal field theory, almost graded Lie algebras. Majority of results are presented for the first time in the form of monograph.

Автор: Khovanskii, Askold
Название: Galois theory, coverings, and riemann surfaces
ISBN: 364238840X ISBN-13(EAN): 9783642388408
Издательство: Springer
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Цена: 55890.00 T
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Описание: Galois Theory, Coverings, and Riemann Surfaces

Автор: Hershel M. Farkas; Irwin Kra
Название: Riemann Surfaces
ISBN: 1461273919 ISBN-13(EAN): 9781461273912
Издательство: Springer
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Цена: 65210.00 T
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Описание: This text covers Riemann surface theory from elementary aspects to the fontiers of current research. 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.

Автор: Cavalieri
Название: Riemann Surfaces and Algebraic Curves
ISBN: 110714924X ISBN-13(EAN): 9781107149243
Издательство: Cambridge Academ
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Цена: 116160.00 T
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Описание: Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field in algebraic geometry. Designed for undergraduate study, this classroom-tested text demonstrates the connections between diverse areas of mathematics and features short essays by guest writers as well as over 100 exercises for the reader.

Автор: Pei-Chu Hu; Ping Li; Chung-Chun Yang
Название: Unicity of Meromorphic Mappings
ISBN: 1441952438 ISBN-13(EAN): 9781441952431
Издательство: Springer
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Цена: 153720.00 T
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Описание: For instance, they proved that if 1 and 9 are two nonconstant entire functions and 8 , 82 and 83 are three distinctive finite sets such 1 1 that 1- (8 ) = g-1(8 ) CM for i = 1,2,3, then 1 = g.

Автор: T. S. Blyth
Название: Sets and Mappings
ISBN: 0412278804 ISBN-13(EAN): 9780412278808
Издательство: Springer
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Цена: 81050.00 T
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Описание: The reasoning that lies behind this modular presentation is simple, namely to allow the student (be he a mathematician or not) to read the subject in a way that is more appropriate to the length, content, and extent, of the various courses he has to take.

Автор: Matti Vuorinen
Название: Conformal Geometry and Quasiregular Mappings
ISBN: 3540193421 ISBN-13(EAN): 9783540193425
Издательство: Springer
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Цена: 41920.00 T
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Описание: An introduction to the theory of spatial quasi regular mappings. It presents conformal invariants which are solutions of extremal problems related to extremal lengths of curve families.

Автор: Hwang, Andrew D.
Название: Sets, groups, and mappings
ISBN: 1470449323 ISBN-13(EAN): 9781470449322
Издательство: Mare Nostrum (Eurospan)
Рейтинг:
Цена: 74410.00 T
Наличие на складе: Нет в наличии.
Описание: This book introduces students to the world of advanced mathematics using algebraic structures as a unifying theme. Having no prerequisites beyond precalculus and an interest in abstract reasoning, the book is suitable for students of math education, computer science or physics who are looking for an easy-going entry into discrete mathematics, induction and recursion, groups and symmetry, and plane geometry. In its presentation, the book takes special care to forge linguistic and conceptual links between formal precision and underlying intuition, tending toward the concrete, but continually aiming to extend students' comfort with abstraction, experimentation, and non-trivial computation.The main part of the book can be used as the basis for a transition-to-proofs course that balances theory with examples, logical care with intuitive plausibility, and has sufficient informality to be accessible to students with disparate backgrounds. For students and instructors who wish to go further, the book also explores the Sylow theorems, classification of finitely-generated Abelian groups, and discrete groups of Euclidean plane transformations.