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Intuitive topology V.V. Prasolov ; translated from the Russian by A. Sossinsky.

Por: Series Mathematical world ; v. 4Detalles de publicación: [Providence, R.I.] American Mathematical Society c1995.Descripción: viii, 95 p. illISBN:
  • 0821803565 (recycled, acid-free paper)
Títulos uniformes: Tema(s): Clasificación CDD:
  • 514 20
Clasificación LoC:
  • QA611.13 .P73 1995
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Descripciones mejoradas de Syndetics:

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.

Includes bibliographical references (p. 93) and index.

Tabla de contenidos provista por Syndetics

  • 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
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