书目详细信息
： A mathematical tapestry :
书目信息 机读格式(MARC)
| ISBN： | 9780521764100 (hardback) |
|---|---|
| ISBN： | 0521764106 (hardback) |
| ISBN： | 9780521128216 (pbk.) |
| ISBN： | 0521128218 (pbk.) |
| 编目源： | DLC DLC YDX YDXCP BWK CDX BWX DLC |
| 个人名称： | Hilton, Peter John. |
| 题名： | A mathematical tapestry : demonstrating the beautiful unity of mathematics / Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer. |
| 索书号： | O1/H656E |
| 出版发行项： | New York : Cambridge University Press, 2010. |
| 载体形态： | xv, 290 p. : ill. ; 25 cm. |
| 书目附注： | Includes bibliographical references and index. |
| 格式化内容附注： | Machine generated contents note: Preface; 1. Flexagons - a beginning thread; 2. Another thread - 1-period paper folding; 3. More paper folding threads - 2-period paper-folding; 4. A number-theory thread - folding numbers, a number trick, and some titbits; 5. The polyhedron thread - building some polyhedra and defining a regular polyhedron; 6. Constructing dipyramids and rotating rings from straight strips of triangles; 7. Continuing the paper-folding and number theory threads; 8. A geometry and algebra thread - constructing, and using, Jennifer's puzzle; 9. A polyhedral geometry thread - constructing braided platonic solids and other woven polyhedra; 10. Combinatorial and symmetry threads; 11. Some golden threads - constructing more dodecahedra; 12. More combinatorial threads - collapsoids; 13. Group theory - the faces of the tri-hexaflexagon; 14. Combinatorial and group theory threads - extended face planes of the platonic solids; 15. A historical thread - involving the Euler characteristic, Descartes' total angular defect, and Paolya's dream; 16. Tying some loose ends together - symmetry, group theory, homologues, and the Paolya enumeration theorem; 17. Returning to the number theory thread - generalized quasi-order and coach theorems; References; Index. |