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Jeffrey R. Weeks
ISBN: 9780824707095
Format: Hardback
Publisher:Taylor & Francis Inc
Edition: 2nd Revised edition
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Covers the basic geometry of two and three-dimensional spaces. This work includes experiments to determine the true shape of the universe and contains illustrated examples and exercises that teach mind-expanding ideas. It explains how radiation remaining from the big bang may reveal the actual shape of the universe.
Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces. Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way. Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behaviour of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.
| ISBN | 0824707095 | | Pages | 408 | | ISBN13 | 9780824707095
(What's this?) | | Volumes | 1 | | Publisher | Taylor & Francis Inc | | Weight (grammes) | 673 | | Imprint | Marcel Dekker Inc | | Published in | New York | | Format | Hardback | | Series ISSN | 249 | | Publication date | 12 Dec 2001 | | Series title | Pure and Applied Mathematics | | Non-book description | xii, 382 p. : | | Height (mm) | 229 | | Library of Congress | 2001058399 | | Width (mm) | 159 | | DEWEY | 516 | | Spine width (mm) | 24 | | DEWEY edition | DC21 | | Academic level | Undergraduate, Postgraduate, Professional / Scholarly |
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| | | Preface to the Second Edition | | | | | | Preface to the First Edition | | | | | | Acknowledgments | | | | Pt. I | | Surfaces and Three-Manifolds | | 1 | | 1 | | Flatland | | 3 | | 2 | | Gluing | | 13 | | 3 | | Vocabulary | | 25 | | 4 | | Orientability | | 45 | | 5 | | Connected Sums | | 65 | | 6 | | Products | | 83 | | 7 | | Flat Manifolds | | 99 | | 8 | | Orientability vs. Two-Sidedness | | 125 | | Pt. II | | Geometries on Surfaces | | 133 | | 9 | | The Sphere | | 135 | | 10 | | The Hyperbolic Plane | | 149 | | 11 | | Geometries on Surfaces | | 157 | | 12 | | The Gauss - Bonnet Formula and the Euler Number | | 165 | | Pt. III | | Geometries on Three-Manifolds | | 185 | | 13 | | Four-Dimensional Space | | 187 | | 14 | | The Hypersphere | | 199 | | 15 | | Hyperbolic Space | | 213 | | 16 | | Geometries on Three-Manifolds I | | 219 | | 17 | | Bundles | | 229 | | 18 | | Geometries on Three-Manifolds II | | 243 | | Pt. IV | | The Universe | | 257 | | 19 | | The Universe | | 259 | | 20 | | The History of Space | | 279 | | 21 | | Cosmic Crystallography | | 285 | | 22 | | Circles in the Sky | | 295 | | | More... | | |
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