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＜電子ブック＞
A Topological Aperitif / by Stephen Huggett, David Jordan

版	1st ed. 2001.
出版者	(London : Springer London : Imprint: Springer)
出版年	2001
本文言語	英語
大きさ	IX, 166 p. 9 illus : online resource
著者標目	*Huggett, Stephen author Jordan, David author SpringerLink (Online service)
件　名	LCSH:Topology LCSH:Manifolds (Mathematics) FREE:Topology FREE:Manifolds and Cell Complexes
一般注記	1. Homeomorphic Sets -- 2. Topological Properties -- 3. Equivalent Subsets -- 4. Surfaces and Spaces -- 5. Polyhedra -- 6. Winding Number -- A. Continuity -- B. Knots -- C. History -- D. Solutions 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 HTTP:URL=https://doi.org/10.1007/978-1-4471-3694-1

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