000			01919 a2200217 4500
005			20180122125702.0
008			180118b xxu||||| |||| 00| 0 eng d
020			_a9788132228417
040			_cIIT Kanpur
041			_aeng
082			_a514.2 _bAd42b
100			_aAdhikari, Mahima Ranjan
245			_aBasic algebraic topology and its applications _cMahima Ranjan Adhikari
260			_bSpringer _c2016 _aNew Delhi
300			_axxix, 615p
520			_aThis 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.
650			_aAlgebraic topology
650			_aTopological groups
650			_aGroup theory
942			_cBK
999			_c558376 _d558376