Téléchargements ebooks free pdf Principles of Topology Fred H. Croom MOBI ePub DOCX 9780486801544

Principles of Topology

Principles of Topology

by Fred H. Croom

Editeur : Dover Publications
ISBN: 9780486801544
Broché: 336
Télécharger les formats: pdf, ePub, mobi, fb2
Taille du fichier: 9 Mb
Date d'affichage: 2020-09-14
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La description:

Topology is a natural, geometric, and intuitively appealing branch of mathematics that can be understood and appreciated by students as they begin their study of advanced mathematical topics. Designed for a one-semester introduction to topology at the undergraduate and beginning graduate levels, this text is accessible to students familiar with multivariable calculus. Rigorous but not abstract, the treatment emphasizes the geometric nature of the subject and the applications of topological ideas to geometry and mathematical analysis. Customary topics of point-set topology include metric spaces, general topological spaces, continuity, topological equivalence, basis, subbasis, connectedness, compactness, separation properties, metrization, subspaces, product spaces, and quotient spaces. In addition, the text introduces geometric, differential, and algebraic topology. Each chapter includes historical notes to put important developments into their historical framework. Exercises of varying degrees of difficulty form an essential part of the text.