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Beginner's Course in Topology

Name: Beginner's Course in Topology
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 05273577
Price: 39713 HUF
Availability: InStock
Author: D. B. Fuks
ISBN: 9783540135777

D. B. Fuks

V. A. Rokhlin

Language

English

Book Paperback

Libristo code: 05273577

Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, November 2003

This book is the result of reworking part of a rather lengthy course of lectures of which we deliver... Full description

Libristo code: 05273577

265 b

39 713 Ft

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This book is the result of reworking part of a rather lengthy course of lectures of which we delivered several versions at the Leningrad and Moscow Universities. In these lectures we presented an introduction to the fundamental topics of topology: homology theory, homotopy theory, theory of bundles, and topology of manifolds. The structure of the course was well determined by the guiding term elementary topology, whose main significance resides in the fact that it made us use a rather simple apparatus. tn this book we have retained {hose sections of the course where algebra plays a subordinate role. We plan to publish the more algebraic part of the lectures as a separate book. Reprocessing the lectures to produce the book resulted in the profits and losses inherent in such a situation: the rigour has increased to the detriment of the intuitiveness, the geometric descriptions have been replaced by formulas needing interpretations, etc. Nevertheless, it seems to us tha·t the book retains the main qualities of our lectures: their elementary, systematic, and pedagogical features. The preparation of the reader is assumed to be limi ted to the usual knowledge of set ·theory, algebra, and calculus which mathematics students should master after the first year and a half of studies. The exposition is accompanied by examples and exercises. We hope that the book can be used as a topology textbook.