Basic Algebraic Topology And Its Applications de Adhikari, Mahima Ranjan Format Broché

Basic Algebraic Topology and its Applications - Adhikari, Mahima Ranjan

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Présentation Basic Algebraic Topology And Its Applications de Adhikari, Mahima Ranjan Format Broché
- Livre Littérature Générale

Livre Littérature Générale - Adhikari, Mahima Ranjan - 01/06/2018 - Broché - Langue : Anglais

Auteur(s) : Adhikari, Mahima Ranjan

Editeur : Springer India Ltd.

Langue : Anglais

Parution : 01/06/2018

Format : Moyen, de 350g à 1kg

Nombre de pages : 648

Expédition : 966

Dimensions : 23.5 x 15.5 x 3.5

ISBN : 9788132238553

Résumé :

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 ?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.

...

Biographie:

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 author's teaching experience of 50 years. He is the joint author ( with Avishek Adhikari) of another Springer book Basic Modern Algebra with Applications, 2014.

...

Sommaire:
MAHIMA RANJAN ADHIKARI, Ph.D., M.Sc. (Gold Medalist), is the founder president of the Institute for Mathematics, Bioinformatics and Computer Science (IMBIC), Kolkata, India. He is a former professor at the Department of Pure Mathematics, University of Calcutta, India. His research papers are published in national and international journals of repute, including the Proceedings of American Mathematical Society. He has authored nine textbooks and is the editor of two, including: Basic Modern Algebra with Applications (Springer, 2014), Basic Algebraic Topology and Applications (Springer, 2016), and Mathematical and Statistical Applications in Life Sciences and Engineering (Springer, 2017). Twelve students have been awarded Ph.D. degree under his guidance on various topics such as algebra, algebraic topology, category theory, geometry, analysis, graph theory, knot theory and history of mathematics. He has visited several universities and research institutions in India, USA, UK, Japan, China, Greece, Sweden, Switzerland, Italy, and many other counties on invitation. A member of the American Mathematical Society, Prof. Adhikari is on the editorial board of several journals of repute. He was elected as the president of the Mathematical Sciences Section (including Statistics) of the 95th Indian Science Congress, 2008. He has successfully completed research projects funded by the Government of India....

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Basic Algebraic Topology and its Applications - Adhikari, Mahima Ranjan

Avis sur Basic Algebraic Topology And Its Applications de Adhikari, Mahima Ranjan Format Broché - Livre Littérature Générale

Présentation Basic Algebraic Topology And Its Applications de Adhikari, Mahima Ranjan Format Broché - Livre Littérature Générale

Présentation Basic Algebraic Topology And Its Applications de Adhikari, Mahima Ranjan Format Broché
- Livre Littérature Générale