A Topological Aperitif

This is a book of elementary geometric topology, in which geometry, frequently illustrated, guides calculation. The book starts with a wealth of examples, often subtle, of how to be mathematically certain whether two objects are the same from the point of view of topology. After introducing surfaces...

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Main Authors: Huggett, Stephen, Jordan, David (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: London Springer London 2001, 2001
Edition:1st ed. 2001
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Summary:This is a book of elementary geometric topology, in which geometry, frequently illustrated, guides calculation. The book starts with a wealth of examples, often subtle, of how to be mathematically certain whether two objects are the same from the point of view of topology. After introducing surfaces, such as the Klein bottle, the book explores the properties of polyhedra drawn on these surfaces. Even in the simplest case, of spherical polyhedra, there are good questions to be asked. More refined tools are developed in a chapter on winding number, and an appendix gives a glimpse of knot theory. There are many examples and exercises making this a useful textbook for a first undergraduate course in topology. For much of the book the prerequisites are slight, though, so anyone with curiosity and tenacity will be able to enjoy the book. As well as arousing curiosity, the book gives a firm geometrical foundation for further study. "A Topological Aperitif provides a marvellous introduction to the subject, with many different tastes of ideas." Professor Sir Roger Penrose OM FRS, Mathematical Institute, Oxford, UK.
Physical Description:IX, 166 p. 9 illus online resource
ISBN:9781447136941