<図書>
The shape of space
責任表示 | Jeffrey R. Weeks |
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シリーズ | Monographs and textbooks in pure and applied mathematics ; 249 |
データ種別 | 図書 |
版 | 2nd ed |
出版者 | New York : M. Dekker |
出版年 | c2002 |
本文言語 | 英語 |
大きさ | xii, 382 p. : ill. ; 24 cm |
概要 | 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 t...e 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 behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe. 続きを見る |
目次 | Machine generated contents note: Preface to the Second Edition Preface to the First Edition Acknowledgments PART I Surfaces and Three-Manifolds 1. Flatland 2. Gluing 3. Vocabulary 4. Orientability 5. Connected Sums 6. Products 7. Flat Manifolds 8. Orientability vs. Two-Sidedness PART II Geometries on Surfaces 9. The Sphere 10. The Hyperbolic Plane 11. Geometries on Surfaces 12. The Gauss-Bonnet Formula and the Euler Number PART III Geometries on Three-Manifolds 13. Four-Dimensional Space 14. The Hypersphere 15. Hyperbolic Space 16. Geometries on Three-Manifolds I 17. Bundles 18. Geometries on Three-Manifolds II PART IV The Universe 19. The Universe 20. The History of Space 21. Cosmic Crystallography 22. Circles in the Sky Appendix A Answers Appendix B Bibliography Appendix C Conway's ZIP Proof.続きを見る |
所蔵情報
状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図1F 開架 | 415.7/W 53 |
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031212015003926 |
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理系図3F 数理独自 | WEEK/10/1aA | 2002 |
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023212006001324 |
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マスフォアインダストリ 基礎理論3 | WEEK/10/1a | 2002 |
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023212002000431 |
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書誌詳細
一般注記 | Includes bibliographical references (p. 355-360) and index 9th impression published by CRC Press |
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著者標目 | *Weeks, Jeffrey R., 1956- |
件 名 | LCSH:Three-manifolds (Topology) LCSH:Surfaces NDLSH:トポロジー NDLSH:多様体 |
分 類 | LCC:QA612.2.W44 DC21:514/.3 |
書誌ID | 1001237012 |
ISBN | 9780824707095 |
NCID | BA55234172 |
巻冊次 | ISBN:9780824707095 ; XISBN:0824707095 |
登録日 | 2009.09.18 |
更新日 | 2015.12.11 |