Read e-book online Basic Algebraic Topology and its Applications PDF

By Mahima Ranjan Adhikari

This ebook offers an obtainable creation to algebraic topology, a field on the intersection of topology, geometry and algebra, including its purposes. furthermore, it covers numerous similar issues which are actually very important within the total scheme of algebraic topology. Comprising eighteen chapters and appendices, the publication integrates a variety of innovations of algebraic topology, supported through examples, routines, functions and historic notes. essentially meant as a textbook, the ebook offers a helpful source for undergraduate, postgraduate and complex arithmetic scholars alike.
Focusing extra at the geometric than on algebraic points of the topic, in addition to its typical improvement, the booklet conveys the elemental language of contemporary algebraic topology via exploring homotopy, homology and cohomology theories, and examines numerous areas: spheres, projective areas, classical teams and their quotient areas, functionality areas, polyhedra, topological teams, Lie teams and phone complexes, and so forth. The publication reports various maps, that are non-stop capabilities among areas. It additionally unearths the significance of algebraic topology in modern arithmetic, theoretical physics, machine 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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