Basic Algebraic Topology and its Applications - download pdf or read online

By Mahima Ranjan Adhikari

This ebook presents an obtainable advent to algebraic topology, a field on the intersection of topology, geometry and algebra, including its purposes. in addition, it covers numerous similar themes which are in truth vital within the total scheme of algebraic topology. Comprising eighteen chapters and appendices, the publication integrates numerous innovations of algebraic topology, supported by means of examples, routines, functions and historic notes. essentially meant as a textbook, the e-book offers a precious source for undergraduate, postgraduate and complex arithmetic scholars alike.
Focusing extra at the geometric than on algebraic features of the topic, in addition to its average improvement, the e-book conveys the fundamental language of contemporary algebraic topology through exploring homotopy, homology and cohomology theories, and examines quite a few areas: spheres, projective areas, classical teams and their quotient areas, functionality areas, polyhedra, topological teams, Lie teams and cellphone complexes, and so on. The e-book reviews numerous maps, that are non-stop services among areas. It additionally unearths the significance of algebraic topology in modern arithmetic, theoretical physics, laptop technology, chemistry, economics, and the organic and scientific sciences, and encourages scholars to interact in extra study.

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Basic Algebraic Topology and its Applications by Mahima Ranjan Adhikari

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