Download Basic Algebraic Topology and its Applications by Mahima Ranjan Adhikari PDF

By Mahima Ranjan Adhikari

This e-book offers an available creation to algebraic topology, a field on the intersection of topology, geometry and algebra, including its functions. in addition, it covers a number of comparable subject matters which are in truth vital within the total scheme of algebraic topology. Comprising eighteen chapters and appendices, the e-book integrates numerous recommendations of algebraic topology, supported by way of examples, workouts, purposes and ancient notes. essentially meant as a textbook, the e-book offers a important source for undergraduate, postgraduate and complex arithmetic scholars alike.
Focusing extra at the geometric than on algebraic elements of the topic, in addition to its ordinary improvement, the publication conveys the fundamental language of contemporary algebraic topology by way of 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 mobilephone complexes, and so forth. The booklet experiences numerous maps, that are non-stop services among areas. It additionally finds the significance of algebraic topology in modern arithmetic, theoretical physics, desktop technology, chemistry, economics, and the organic and scientific sciences, and encourages scholars to interact in additional study.

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