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Basic Algebraic Topology and its Applications, Adhikari


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Цена: 11179.00р.
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Автор: Adhikari
Название:  Basic Algebraic Topology and its Applications
ISBN: 9788132228417
Издательство: Springer
Классификация:


ISBN-10: 8132228413
Обложка/Формат: Hardback
Страницы: 615
Вес: 1.12 кг.
Дата издания: 2016
Язык: English
Иллюстрации: 176 black & white illustrations, biography
Размер: 242 x 212 x 42
Читательская аудитория: Graduate/advanced undergraduate textbook
Основная тема: Mathematics
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Германии
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.

Дополнительное описание: Prerequisite Concepts and Notations.- Basic Homotopy.- The Fundamental Groups.-Covering Spaces.- Fibre Bundles, Vector Bundles and K-theory.- Geometry of Simplicial Complexes and Fundamental Groups.- Higher Homotopy Groups.- Products in Higher Homotopy Gr



Applications of Contact Geometry and Topology in Physics

Автор: Kholodenko Arkady
Название: Applications of Contact Geometry and Topology in Physics
ISBN: 9814412082 ISBN-13(EAN): 9789814412087
Издательство: World Scientific Publishing
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Цена: 24552.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Although contact geometry and topology still remains a domain of research in pure mathematics. This book attempts to change the status quo. It is written in the style of Landau - Lifshitz (L - L) multivolume course in theoretical physics. It expects readers to have background in theoretical physics (at least at the level of the L - L course).

Algebraic Topology

Автор: Nils Baas; Eric Friedlander; Bj?rn Jahren; Paul Ar
Название: Algebraic Topology
ISBN: 3642011993 ISBN-13(EAN): 9783642011993
Издательство: Springer
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Цена: 23058.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The 2007 Abel Symposium took place at the University of Oslo in August 2007. The goal of the symposium was to bring together mathematicians whose research efforts have led to recent advances in algebraic geometry, algebraic K-theory, algebraic topology, and mathematical physics.

Algebraic topology

Автор: Spanier, Edwin H
Название: Algebraic topology
ISBN: 0387944265 ISBN-13(EAN): 9780387944265
Издательство: Springer
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Цена: 10480.00 р.
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Описание: Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology. The first third of the book covers the fundamental group, its definition and its application in the study of covering spaces. The focus then turns to homology theory, including cohomology, cup products, cohomology operations, and topological manifolds. The remaining third of the book is devoted to Homotropy theory, covering basic facts about homotropy groups, applications to obstruction theory, and computations of homotropy groups of spheres. In the later parts, the main emphasis is on the application to geometry of the algebraic tools developed earlier.


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