ENGLISH

Intuitive Topology

By V.V. Prasolov

Book information

Publisher
American Mathematical Society
Year
1995
ISBN
0821803565, 9780821803561
LCC
QA611.13 .P73 1995
Language
english
Format
DJVU
Filesize
1 MB (1363775 bytes)
Series
Mathematical world 4
Pages
100\101
Scanned
yes
Time added
2010-05-31 15:29:46

Description

This book is an introduction to elementary topology presented in an intuitive way, emphasizing the visual aspect. Examples of nontrivial and often unexpected topological phenomena acquaint the reader with the picturesque world of knots, links, vector fields, and two-dimensional surfaces. The book begins with definitions presented in a tangible and perceptible way, on an everyday level, and progressively makes them more precise and rigorous, eventually reaching the level of fairly sophisticated proofs. This allows meaningful problems to be tackled from the outset. Another unusual trait of this book is that it deals mainly with constructions and maps, rather than with proofs that certain maps and constructions do or do not exist. The numerous illustrations are an essential feature. The book is accessible not only to undergraduates but also to high school students and will interest any reader who has some feeling for the visual elegance of geometry and topology.

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