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<図書>
The shape of space

責任表示 Jeffrey R. Weeks
シリーズ Monographs and textbooks in pure and applied mathematics ; 249
データ種別 図書
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.
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所蔵情報


理系図1F 開架 415.7/W 53

031212015003926

理系図3F 数理独自 WEEK/10/1aA 2002
023212006001324

マスフォアインダストリ 基礎理論3 WEEK/10/1a 2002
023212002000431

書誌詳細

一般注記 Includes bibliographical references (p. 355-360) and index
9th impression published by CRC Press
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

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