Algebraic Topology and Transformation Groups, Tammo tom Dieck
Автор: Hatcher A. Название: Algebraic topology ISBN: 0521795400 ISBN-13(EAN): 9780521795401 Издательство: Cambridge Academ Рейтинг: Цена: 6018.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An introductory textbook suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises.
Автор: Adhikari Название: Basic Algebraic Topology and its Applications ISBN: 8132228413 ISBN-13(EAN): 9788132228417 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book provides an accessible introduction to algebraic topology, a ?eld at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book o?ers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike.
Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to engage in further study.
Автор: Shoshichi Kobayashi Название: Transformation Groups in Differential Geometry ISBN: 3540586598 ISBN-13(EAN): 9783540586593 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Given a mathematical structure, one of the basic associated mathematical objects is its automorphism group. Chapter I describes a general theory of automorphisms of geometric structures with emphasis on the question of when the automorphism group can be given a Lie group structure.
Автор: Lie Sophus Название: Theory of Transformation Groups I ISBN: 3662462109 ISBN-13(EAN): 9783662462102 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Theory of Transformation Groups I
Автор: Sophus Lie; Jo?l Merker; Jo?l Merker; Friedrich En Название: Theory of Transformation Groups I ISBN: 3662512661 ISBN-13(EAN): 9783662512661 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Part I Modern Presentation.- 1 Three Principles of Thought Governing the Theory of Lie.- 2 Local Transformation Equations and Essential Parameters.- 3 Fundamental Differential Equations for Finite Continuous Transformation Groups.- 4 One-Term Groups and Ordinary Differential.- Part II English Translation.- 5 Complete Systems of Partial Differential Equations.- 7 Determination of All Systems of Equations Which Admit Given Infinitesimal Transformations.- 8 Complete Systems Which Admit All Transformations of a One-term Group.- 9 Characteristic Relationships Between the Infinitesimal Transformations of a Group.- 10 Systems of Partial Differential Equations the General Solution of Which Depends Only Upon a Finite Number of Arbitrary Constants.- 11 The Defining Equations for the Infinitesimal Transformations of a Group.- 12 Determination of All Subgroups of an r-term Group.- 13 Transitivity, Invariants.- 14 Determination of All Systems of Equations Which Admit a Given r-term Group.- 15 Invariant Families of Infinitesimal Transformations.- 16 The Adjoint Group.- 17 Composition and Isomorphism.- 18 Finite Groups, the Transformations of Which Form Discrete Continuous Families.- 19 Theory of the Similarity [AEHNLICHKEIT] of r-term Groups.- 20 Groups, the Transformations of Which Are Interchangeable With All Transformations of a Given Group.- 21 The Group of Parameters.- 22 The Determination of All r-term Groups.- 23 Invariant Families of Manifolds.- 24 Systatic and Asystatic Transformation Groups.- 25 Differential Invariants.- 26 The General Projective Group.- 27 Linear Homogeneous Groups.- 28 Approach [ANSATZ] towards the Determination of All Finite Continuous Groups of the n-times Extended Space.- 29 Characteristic Properties of the Groups Which are Equivalent to Certain Projective Groups.- Glossary of significantly used words.- Index./p>
Описание: Many of the developments of modern algebraic geometry and topology stem from the ideas of S. Lefschetz. These are featured in this volume of contemporary research papers contributed by mathematical colleagues to celebrate his seventieth birthday. Originally published in 1957. The Princeton Legacy Library uses the latest print-on-demand technology
Автор: Peter S. Landweber Название: Elliptic Curves and Modular Forms in Algebraic Topology ISBN: 3540194908 ISBN-13(EAN): 9783540194903 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A small conference was held in September 1986 to discuss new applications of elliptic functions and modular forms in algebraic topology, which had led to the introduction of elliptic genera and elliptic cohomology.
Автор: P.G. Goerss; John F. Jardine Название: Algebraic K-Theory and Algebraic Topology ISBN: 9048143020 ISBN-13(EAN): 9789048143023 Издательство: Springer Рейтинг: Цена: 39970.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of the NATO Advanced Study Institute, Lake Louise, Alberta, Canada, December 12-16, 1991
Автор: Selman Akbulut; Henry King Название: Topology of Real Algebraic Sets ISBN: 1461397413 ISBN-13(EAN): 9781461397410 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In the Fall of 1975 we started a joint project with the ultimate goal of topo- logically classifying real algebraic sets. Since these results are interdependent and require some prerequisites as well as familiarity with real algebraic geometry, we decided to make them self contained by presenting them as a part of a book in real algebraic geometry.
Автор: J. Aguade; R. Kane Название: Algebraic Topology. Barcelona 1986 ISBN: 3540187294 ISBN-13(EAN): 9783540187295 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: C.T. Dodson; P.E. Parker Название: A User`s Guide to Algebraic Topology ISBN: 0792342925 ISBN-13(EAN): 9780792342922 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: We have tried to design this book for both instructional and reference use, during and after a first course in algebraic topology aimed at users rather than developers; Another gives tables of homo- topy groups that should prove useful in computations, and the last outlines the use of a computer algebra package for exterior calculus.
Автор: Gregory Arone; John Hubbuck; Ran Levi; Michael Wei Название: Categorical Decomposition Techniques in Algebraic Topology ISBN: 3034896018 ISBN-13(EAN): 9783034896016 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book consists of articles at the frontier of current research in Algebraic Topology.
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