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Intuitive Topology : Mathematical World - V. V. Prasolov

Intuitive Topology

Mathematical World

Paperback Published: January 1994
ISBN: 9780821803561
Number Of Pages: 93

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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 fairlysophisticated 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 essentialfeature. 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.

Deformations Knots and links Spans of knots and links
A knot invariant Homeomorphisms
Vector fields on the plane
Vector fields on two-dimensional surfaces
Fixed point free and periodic homeomorphisms
Two-dimensional surfaces
References
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780821803561
ISBN-10: 0821803565
Series: Mathematical World
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 93
Published: January 1994
Publisher: American Mathematical Society
Country of Publication: US
Dimensions (cm): 24.77 x 17.78  x 1.27
Weight (kg): 0.18

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