Basic Algebraic Topology and its Applications

Nonfiction, Science & Nature, Mathematics, Topology, Group Theory
Cover of the book Basic Algebraic Topology and its Applications by Mahima Ranjan Adhikari, Springer India
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Mahima Ranjan Adhikari ISBN: 9788132228431
Publisher: Springer India Publication: September 16, 2016
Imprint: Springer Language: English
Author: Mahima Ranjan Adhikari
ISBN: 9788132228431
Publisher: Springer India
Publication: September 16, 2016
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer India

Cover of the book Recent Trends in Modelling of Environmental Contaminants by Mahima Ranjan Adhikari
Cover of the book Brain, Self and Consciousness by Mahima Ranjan Adhikari
Cover of the book Probiotics and Bioactive Carbohydrates in Colon Cancer Management by Mahima Ranjan Adhikari
Cover of the book Computational Intelligence in Data Mining - Volume 1 by Mahima Ranjan Adhikari
Cover of the book Perspectives in Inflammation Biology by Mahima Ranjan Adhikari
Cover of the book Reproductive Ecology of Flowering Plants: A Manual by Mahima Ranjan Adhikari
Cover of the book Urban Transportation and the Environment by Mahima Ranjan Adhikari
Cover of the book Climate Resilient Agriculture for Ensuring Food Security by Mahima Ranjan Adhikari
Cover of the book Biohydrogen Production: Sustainability of Current Technology and Future Perspective by Mahima Ranjan Adhikari
Cover of the book Advances in Communication and Computing by Mahima Ranjan Adhikari
Cover of the book Proceedings of 3rd International Conference on Advanced Computing, Networking and Informatics by Mahima Ranjan Adhikari
Cover of the book Advancements of Medical Electronics by Mahima Ranjan Adhikari
Cover of the book Value Addition of Horticultural Crops: Recent Trends and Future Directions by Mahima Ranjan Adhikari
Cover of the book Freedom in Mathematics by Mahima Ranjan Adhikari
Cover of the book Agricultural Bioinformatics by Mahima Ranjan Adhikari
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy