Algebraic Topology: A Primer (Texts and Readings in Mathematics)

Book Details

• Publisher: HINDUSTAN BOOK AGENCY

• Author: Satya Deo

• Language: English

• ISBN: 9789386279675

• Pages: 358

• Cover: Paperback

• Edition: 2nd Edition (Revised and Enlarged)

• Release Date: 30-04-2018

• Dimensions: 9.4 x 6.4 x 1.1 inches

About The Book

Algebraic Topology by Satya Deo is a comprehensive introduction to the first concepts of algebraic topology, designed for undergraduate and beginning graduate students in mathematics. The second edition, revised and enlarged, includes detailed discussions on various topics such as general simplicial complexes, simplicial homology theory, fundamental groups, covering spaces, and singular homology theory.

This book assumes a minimal background in linear algebra, group theory, and topological spaces, making it accessible to students with basic mathematical knowledge. The author explains the core ideas and concepts in a clear and lucid manner, providing suitable motivations and illustrations to aid understanding.

Some classical theorems are also discussed and illustrated, including:

• Brouwer’s Fixed Point Theorem

• Lefschetz Fixed Point Theorem

• Borsuk-Ulam Theorem

• Brouwer’s Separation Theorem

• Invariance of Domain Theorem

The book features a variety of exercises, ranging from elementary to challenging, allowing readers to deepen their understanding of the subject.

Key Features:

• Revised and expanded second edition with additional content and examples.

• Covers fundamental topics in algebraic topology such as simplicial complexes, homology, and fundamental groups.

• Suitable for undergraduate and beginning graduate students.

• Clear, detailed explanations with illustrations and practical applications.

• Includes classical theorems and their proofs.

This book is an excellent resource for those beginning their study of algebraic topology and will be helpful in both theoretical learning and practical problem-solving.