| 期刊全稱(chēng) | Basic Algebraic Topology and its Applications | | 影響因子2023 | Mahima Ranjan Adhikari | | 視頻video | http://file.papertrans.cn/181/180953/180953.mp4 | | 發(fā)行地址 | Discusses the basic concepts of algebraic topology with numerous related illustrations and applications.Approaches the topic nearly “from scratch” and accompanies students through its natural developm | | 圖書(shū)封面 |  | | 影響因子 | 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 phys | | Pindex | Textbook 2016 |
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