A Topological Aperitif [electronic resource] /
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.
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Format: | Texto biblioteca |
Language: | eng |
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London : Springer London : Imprint: Springer,
2001
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Subjects: | Mathematics., Topology., Manifolds (Mathematics)., Complex manifolds., Manifolds and Cell Complexes (incl. Diff.Topology)., |
Online Access: | http://dx.doi.org/10.1007/978-1-4471-3694-1 |
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KOHA-OAI-TEST:1911502018-07-30T23:15:21ZA Topological Aperitif [electronic resource] / Huggett, Stephen. author. Jordan, David. author. SpringerLink (Online service) textLondon : Springer London : Imprint: Springer,2001.engThis 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.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.Mathematics.Topology.Manifolds (Mathematics).Complex manifolds.Mathematics.Topology.Manifolds and Cell Complexes (incl. Diff.Topology).Springer eBookshttp://dx.doi.org/10.1007/978-1-4471-3694-1URN:ISBN:9781447136941 |
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Mathematics. Topology. Manifolds (Mathematics). Complex manifolds. Mathematics. Topology. Manifolds and Cell Complexes (incl. Diff.Topology). Mathematics. Topology. Manifolds (Mathematics). Complex manifolds. Mathematics. Topology. Manifolds and Cell Complexes (incl. Diff.Topology). |
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Mathematics. Topology. Manifolds (Mathematics). Complex manifolds. Mathematics. Topology. Manifolds and Cell Complexes (incl. Diff.Topology). Mathematics. Topology. Manifolds (Mathematics). Complex manifolds. Mathematics. Topology. Manifolds and Cell Complexes (incl. Diff.Topology). Huggett, Stephen. author. Jordan, David. author. SpringerLink (Online service) A Topological Aperitif [electronic resource] / |
description |
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. |
format |
Texto |
topic_facet |
Mathematics. Topology. Manifolds (Mathematics). Complex manifolds. Mathematics. Topology. Manifolds and Cell Complexes (incl. Diff.Topology). |
author |
Huggett, Stephen. author. Jordan, David. author. SpringerLink (Online service) |
author_facet |
Huggett, Stephen. author. Jordan, David. author. SpringerLink (Online service) |
author_sort |
Huggett, Stephen. author. |
title |
A Topological Aperitif [electronic resource] / |
title_short |
A Topological Aperitif [electronic resource] / |
title_full |
A Topological Aperitif [electronic resource] / |
title_fullStr |
A Topological Aperitif [electronic resource] / |
title_full_unstemmed |
A Topological Aperitif [electronic resource] / |
title_sort |
topological aperitif [electronic resource] / |
publisher |
London : Springer London : Imprint: Springer, |
publishDate |
2001 |
url |
http://dx.doi.org/10.1007/978-1-4471-3694-1 |
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