Basic Algebraic Topology and its Applications
Resource Information
The work Basic Algebraic Topology and its Applications represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Basic Algebraic Topology and its Applications
Resource Information
The work Basic Algebraic Topology and its Applications represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Basic Algebraic Topology and its Applications
 Statement of responsibility
 by Mahima Ranjan Adhikari
 Subject

 Manifolds (Mathematics)
 Group Theory and Generalizations
 Algebraic topology
 Manifolds and Cell Complexes (incl. Diff.Topology)
 Lie groups
 Lie groups
 Manifolds (Mathematics)
 Group theory
 Algebraic Topology
 Electronic resources
 Ktheory
 Topological Groups, Lie Groups
 Mathematics
 Complex manifolds
 Topological groups
 KTheory
 Algebraic Topology
 KTheory
 Algebraic topology
 Mathematics
 Manifolds (Mathematics)
 Topological groups
 Complex manifolds
 Group theory
 Ktheory
 Language
 eng
 Summary
 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
 Image bit depth
 0
 LC call number
 QA612612.8
 Literary form
 non fiction
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