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OverviewThis 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. Full Product DetailsAuthor: V. V. PrasolovPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: No. 4 Dimensions: Width: 17.80cm , Height: 1.30cm , Length: 24.80cm Weight: 0.200kg ISBN: 9780821803561ISBN 10: 0821803565 Pages: 93 Publication Date: 30 December 1994 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsDeformations 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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