---

＜E-Book＞
A Topological Aperitif / by Stephen Huggett, David Jordan

Edition	1st ed. 2001.
Publisher	London : Springer London : Imprint: Springer
Year	2001
Language	English
Size	IX, 166 p. 9 illus : online resource
Authors	*Huggett, Stephen author Jordan, David author SpringerLink (Online service)
Subjects	LCSH:Topology LCSH:Manifolds (Mathematics) FREE:Topology FREE:Manifolds and Cell Complexes
Notes	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

 Similar Items