AI SearchA mathematical tapestry : | demonstrating the beautiful unity of mathematics / (Record no. 112437)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03118cam a22002774a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 100309s2010 nyua b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780521764100 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0521764106 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780521128216 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0521128218 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | SDU |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA36 |
| Item number | H641 M 2010 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Hilton, Peter John. |
| 245 12 - TITLE STATEMENT | |
| Title | A mathematical tapestry : |
| Remainder of title | demonstrating the beautiful unity of mathematics / |
| Statement of responsibility, etc. | Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | New York : |
| Name of publisher, distributor, etc. | Cambridge University Press, |
| Date of publication, distribution, etc. | 2010. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 290 p. : |
| Other physical details | ill. |
| 505 8# - Formatted Contents Note | |
| Formatted contents note | 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 Pólya's dream; 16. Tying some loose ends together - symmetry, group theory, homologues, and the Pólya enumeration theorem; 17. Returning to the number theory thread - generalized quasi-order and coach theorems; References; Index. |
| 505 8# - Formatted Contents Note | |
| Formatted contents note | HKBU library |
| 518 ## - DATE/TIME AND PLACE OF AN EVENT NOTE | |
| DATE/TIME AND PLACE OF AN EVENT NOTE | YT2025 M10 |
| 520 ## - SUMMARY | |
| Summary | "This easy-to-read book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory. Using a systematic paper-folding procedure it is possible to construct a regular polygon with any number of sides. This remarkable algorithm has led to interesting proofs of certain results in number theory, has been used to answer combinatorial questions involving partitions of space, and has enabled the authors to obtain the formula for the volume of a regular tetrahedron in around three steps, using nothing more complicated than basic arithmetic and the most elementary plane geometry. All of these ideas, and more, reveal the beauty of mathematics and the interconnectedness of its various branches. Detailed instructions, including clear illustrations, enable the reader to gain hands-on experience constructing these models and to discover for themselves the patterns and relationships they unearth"-- |
| 650 #0 - SUBJECT | |
| Topical term | Mathematics. |
| 700 1# - PERSONAL NAME | |
| Personal name | Pedersen, Jean. |
| 700 1# - PERSONAL NAME | |
| Personal name | Donmoyer, Sylvie. |
| 900 ## - Accession Number | |
| Accession Number | = C.1 SDU |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | English Books |
| Source of classification or shelving scheme | Library of Congress Classification |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | 219342 |
| 700 1# - PERSONAL NAME | |
| -- | 219343 |
| 700 1# - PERSONAL NAME | |
| -- | 219344 |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Collection code | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Total Checkouts | Full call number | Barcode | Date last seen | Copy number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Library of Congress Classification | Available for Loans | General Books | MATRIX Library | MATRIX Library | General Eng/FL.3 | 09/10/2025 | Donation | QA36 H641 M 2010 | 1000377847 | 09/10/2025 | C.1 | 09/10/2025 | English Books |