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The Shape of Space, Third Edition maintains the standard of excellence set by the previous editions. This lighthearted textbook covers the basic geometry and topology of two- and three-dimensional spaces-stretching students' minds as they learn to visualize new possibilities for the shape of our universe.
The Shape of Space, Third Edition maintains the standard of excellence set by the previous editions. This lighthearted textbook covers the basic geometry and topology of two- and three-dimensional spaces-stretching students' minds as they learn to visualize new possibilities for the shape of our universe.
Jeffrey R. Weeks is a free-lance geometer living in Canton, New York. With support from the U.S. National Science Foundation, the MacArthur Foundation and several science museums, his work spans pure mathematics, applications in cosmology and-closest to his heart-exposition for the general public.
Part I Surfaces and Three-Manifolds
Flatland
Gluing
Vocabulary
Orientability
Classification of Surfaces
Products
Flat Manifolds
Orientability vs. Two-Sidedness
Part II Geometries on Surfaces
The Sphere
The Hyperbolic Plane
Geometries on Surfaces
Gauss-Bonnet Formula and Euler Number
Part III Geometries on Three-Manifolds
Four-Dimensional Space
The Hypersphere
Hyperbolic Space
Geometries on Three-Manifolds I
Bundles
Geometries on Three-Manifolds II
Part IV The Universe
The Universe
The History of Space
Appendix A: Answers
Appendix B: Bibliography
Appendix C: Conway's ZIP Proof
| Erscheinungsjahr: | 2020 |
|---|---|
| Fachbereich: | Grundlagen |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: | Einband - flex.(Paperback) |
| ISBN-13: | 9781138061217 |
| ISBN-10: | 1138061212 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Weeks, Jeffrey R. |
| Hersteller: | Taylor & Francis Ltd |
| Maße: | 237 x 159 x 22 mm |
| Von/Mit: | Jeffrey R. Weeks |
| Erscheinungsdatum: | 02.01.2020 |
| Gewicht: | 0,778 kg |
Jeffrey R. Weeks is a free-lance geometer living in Canton, New York. With support from the U.S. National Science Foundation, the MacArthur Foundation and several science museums, his work spans pure mathematics, applications in cosmology and-closest to his heart-exposition for the general public.
Part I Surfaces and Three-Manifolds
Flatland
Gluing
Vocabulary
Orientability
Classification of Surfaces
Products
Flat Manifolds
Orientability vs. Two-Sidedness
Part II Geometries on Surfaces
The Sphere
The Hyperbolic Plane
Geometries on Surfaces
Gauss-Bonnet Formula and Euler Number
Part III Geometries on Three-Manifolds
Four-Dimensional Space
The Hypersphere
Hyperbolic Space
Geometries on Three-Manifolds I
Bundles
Geometries on Three-Manifolds II
Part IV The Universe
The Universe
The History of Space
Appendix A: Answers
Appendix B: Bibliography
Appendix C: Conway's ZIP Proof
| Erscheinungsjahr: | 2020 |
|---|---|
| Fachbereich: | Grundlagen |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: | Einband - flex.(Paperback) |
| ISBN-13: | 9781138061217 |
| ISBN-10: | 1138061212 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: | Weeks, Jeffrey R. |
| Hersteller: | Taylor & Francis Ltd |
| Maße: | 237 x 159 x 22 mm |
| Von/Mit: | Jeffrey R. Weeks |
| Erscheinungsdatum: | 02.01.2020 |
| Gewicht: | 0,778 kg |
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