Basic Algebraic Topology and its Applications

Basic Algebraic Topology and its Applications

Softcover reprint of the original 1st Edition 2016

Paperback (15 Jun 2018)

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Publisher's Synopsis

This book provides an accessible introduction to algebraic topology, a field 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 offers 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.

Book information

ISBN: 9788132238553
Publisher: Springer India
Imprint: Springer
Pub date:
Edition: Softcover reprint of the original 1st Edition 2016
Language: English
Number of pages: 615
Weight: 979g
Height: 235mm
Width: 155mm
Spine width: 33mm