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Basic Algebraic Topology and its Applications

Name: Basic Algebraic Topology and its Applications
Brand: Springer, India, Private Ltd
SKU: 02981627
Price: 127.36 EUR
Availability: InStock
Author: Mahima Ranjan Adhikari
ISBN: 9788132228417

Mahima Ranjan Adhikari

Език

Английски език

Книга С твърди корици

Код Либристо: 02981627

Издателство Springer, India, Private Ltd, септември 2016

This book provides an accessible introduction to algebraic topology, a _eld at the intersection of t... Цялото описание

Код Либристо: 02981627

309 b

127.36 €

249.09 лв

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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.