Basic Algebraic Topology and its Applications

Mahima Ranjan Adhikari

ISBN 10: 8132238559 / ISBN 13: 9788132238553

Editore: Springer India, Springer India Jun 2018, 2018

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Neuware -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 öers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 648 pp. Englisch.

Codice articolo 9788132238553

Dati bibliografici

• Titolo: Basic Algebraic Topology and its Applications
• Editore: Springer India, Springer India Jun 2018
• Data di pubblicazione: 2018
• Lingua: Inglese
• ISBN 10: 8132238559
• ISBN 13: 9788132238553
• Rilegatura: Taschenbuch
• Condizione: Neu

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

Mahima Ranjan Adhikari, PhD, is a former professor of Pure Mathematics at the University of Calcutta. His main interest lies in algebra and topology. He has published a number of papers in several international journals including the Proceedings of American Mathematical Society and ?ve textbooks. Eleven students have already been awarded the PhD degree under his supervision. He is a member of the American Mathematical Society and serves on the editorial board of several journals and research monographs. He was the president of the mathematical science section of the 95th Indian Science Congress, 2008.

He has visited several institutions in India, USA, UK, Japan, France, Greece, Sweden, Switzerland, Italy and many other countries on invitation. While visiting E.T.H., Zurich, Switzerland, in 2003, he made an academic interaction with Professor B Eckmann and P J Hilton. He is currently the president of the Institute for Mathematics, Bioinformatics, Information Technology and Computer Science (IMBIC). He is also the principal investigator of an ongoing project funded by the Government of India.

The present book is written based on authors teaching experience of 50 years. He is the joint author ( with Avishek Adhikari) of another Springer book Basic Modern Algebra with Applications, 2014.