A mathematical tapestry :: demonstrating the beautiful unity of mathematics /
"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 an...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
©2010.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "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"-- |
| Beschreibung: | 1 online resource (xv, 290 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 282-285) and index. |
| ISBN: | 9780511776557 0511776551 9780511773976 0511773978 9780511777004 0511777000 1107208505 9781107208506 1139636650 9781139636650 1282723421 9781282723429 9786612723421 6612723424 0511775792 9780511775796 0511772904 9780511772900 0511775032 9780511775031 |
Internformat
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-ocn659764667 | ||
| 003 | OCoLC | ||
| 005 | 20241004212047.0 | ||
| 006 | m o d | ||
| 007 | cr mnu---unuuu | ||
| 008 | 100831s2010 enka ob 001 0 eng d | ||
| 010 | |z 2010010230 | ||
| 040 | |a N$T |b eng |e pn |c N$T |d OCLCA |d OSU |d OCLCQ |d YDXCP |d OCLCQ |d OCLCF |d CDX |d COO |d OCLCQ |d COCUF |d CNNOR |d PIFAG |d OCLCQ |d WY@ |d LUE |d UAB |d OCLCQ |d INT |d OCLCQ |d VLB |d K6U |d UKCRE |d VT2 |d LUN |d AUD |d S2H |d UKAHL |d QGK |d OCLCO |d OCLCQ |d INARC |d OCLCO |d OCLCL |d OCLCQ |d OCLCL |d SFB | ||
| 019 | |a 659730139 |a 1153545711 |a 1170436485 |a 1170567197 |a 1228609929 |a 1259138882 |a 1392376929 | ||
| 020 | |a 9780511776557 |q (electronic bk.) | ||
| 020 | |a 0511776551 |q (electronic bk.) | ||
| 020 | |a 9780511773976 |q (ebook) | ||
| 020 | |a 0511773978 |q (ebook) | ||
| 020 | |z 9780521764100 |q (hardback) | ||
| 020 | |z 0521764106 |q (hardback) | ||
| 020 | |z 9780521128216 |q (pbk.) | ||
| 020 | |z 0521128218 |q (pbk.) | ||
| 020 | |a 9780511777004 |q (ebook) | ||
| 020 | |a 0511777000 | ||
| 020 | |a 1107208505 | ||
| 020 | |a 9781107208506 | ||
| 020 | |a 1139636650 | ||
| 020 | |a 9781139636650 | ||
| 020 | |a 1282723421 | ||
| 020 | |a 9781282723429 | ||
| 020 | |a 9786612723421 | ||
| 020 | |a 6612723424 | ||
| 020 | |a 0511775792 | ||
| 020 | |a 9780511775796 | ||
| 020 | |a 0511772904 | ||
| 020 | |a 9780511772900 | ||
| 020 | |a 0511775032 | ||
| 020 | |a 9780511775031 | ||
| 024 | 8 | |a 9786612723421 | |
| 035 | |a (OCoLC)659764667 |z (OCoLC)659730139 |z (OCoLC)1153545711 |z (OCoLC)1170436485 |z (OCoLC)1170567197 |z (OCoLC)1228609929 |z (OCoLC)1259138882 |z (OCoLC)1392376929 | ||
| 037 | |a 272342 |b MIL | ||
| 050 | 4 | |a QA36 |b .H53 2010eb | |
| 072 | 7 | |a MAT |x 023000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 026000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 039000 |2 bisacsh | |
| 082 | 7 | |a 510 |2 22 | |
| 049 | |a MAIN | ||
| 100 | 1 | |a Hilton, Peter, |d 1923-2010. |1 https://id.oclc.org/worldcat/entity/E39PBJyrYD3WXH64pMQgXVxYyd |0 http://id.loc.gov/authorities/names/n50034438 | |
| 245 | 1 | 2 | |a A mathematical tapestry : |b demonstrating the beautiful unity of mathematics / |c Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c ©2010. | ||
| 300 | |a 1 online resource (xv, 290 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 520 | |a "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"-- |c Provided by publisher. | ||
| 504 | |a Includes bibliographical references (pages 282-285) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Flexagons : a beginning thread -- Another thread : 1-period paper folding -- More paper folding threads : 2-period paper-folding -- A number-theory thread : folding numbers, a number trick, and some titbits -- The polyhedron thread : building some polyhedra and defining a regular polyhedron -- Constructing dipyramids and rotating rings from straight strips of triangles -- Continuing the paper-folding and number-theory threads -- A geometry and algebra thread : constructing, and using, Jennifer's puzzle -- A polyhedral geometry thread : constructing braided Platonic solids and other woven polyhedra -- Combinatorial and symmetry threads -- Some golden threads : constructing more dodecahedra -- More combinatorial threads : collapsoids -- Group theory : the faces of the trihexaflexagon -- Combinatorial and group-theoretical threads : extended face planes of the Platonic solids -- A historical thread : involving the Euler characteristic, Descartes' total angular defect, and Pólya's dream -- Tying some loose ends together : symmetry, group theory, homologues, and the Pólya enumeration theorem -- Returning to the number-theory thread : generalized quasi-order and coach theorems. | |
| 650 | 0 | |a Mathematics. |0 http://id.loc.gov/authorities/subjects/sh85082139 | |
| 650 | 6 | |a Mathématiques. | |
| 650 | 7 | |a mathematics. |2 aat | |
| 650 | 7 | |a applied mathematics. |2 aat | |
| 650 | 7 | |a MATHEMATICS |x Pre-Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Reference. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Essays. |2 bisacsh | |
| 650 | 7 | |a Mathematics |2 fast | |
| 655 | 0 | |a Electronic books. | |
| 655 | 7 | |a Puzzles and games |2 fast | |
| 655 | 7 | |a Puzzles and games. |2 lcgft |0 http://id.loc.gov/authorities/genreForms/gf2014026158 | |
| 700 | 1 | |a Pedersen, Jean. |0 http://id.loc.gov/authorities/names/n82147267 | |
| 758 | |i has work: |a A mathematical tapestry (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG88XrtvbPrbXm8gjDKtGb |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Hilton, Peter John. |t Mathematical tapestry. |d New York : Cambridge University Press, 2010 |z 9780521764100 |w (DLC) 2010010230 |w (OCoLC)564132786 |
| 856 | 4 | 0 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=324018 |3 Volltext |
| 938 | |a Coutts Information Services |b COUT |n 14702197 |c 19.99 GBP | ||
| 938 | |a EBSCOhost |b EBSC |n 324018 | ||
| 938 | |a YBP Library Services |b YANK |n 3408161 | ||
| 938 | |a YBP Library Services |b YANK |n 3441548 | ||
| 938 | |a YBP Library Services |b YANK |n 3584106 | ||
| 938 | |a YBP Library Services |b YANK |n 3402787 | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH13432156 | ||
| 938 | |a Internet Archive |b INAR |n mathematicaltape0000hilt | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-863 | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn659764667 |
|---|---|
| _version_ | 1816881737834168320 |
| adam_text | |
| any_adam_object | |
| author | Hilton, Peter, 1923-2010 |
| author2 | Pedersen, Jean |
| author2_role | |
| author2_variant | j p jp |
| author_GND | http://id.loc.gov/authorities/names/n50034438 http://id.loc.gov/authorities/names/n82147267 |
| author_facet | Hilton, Peter, 1923-2010 Pedersen, Jean |
| author_role | |
| author_sort | Hilton, Peter, 1923-2010 |
| author_variant | p h ph |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA36 |
| callnumber-raw | QA36 .H53 2010eb |
| callnumber-search | QA36 .H53 2010eb |
| callnumber-sort | QA 236 H53 42010EB |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | Flexagons : a beginning thread -- Another thread : 1-period paper folding -- More paper folding threads : 2-period paper-folding -- A number-theory thread : folding numbers, a number trick, and some titbits -- The polyhedron thread : building some polyhedra and defining a regular polyhedron -- Constructing dipyramids and rotating rings from straight strips of triangles -- Continuing the paper-folding and number-theory threads -- A geometry and algebra thread : constructing, and using, Jennifer's puzzle -- A polyhedral geometry thread : constructing braided Platonic solids and other woven polyhedra -- Combinatorial and symmetry threads -- Some golden threads : constructing more dodecahedra -- More combinatorial threads : collapsoids -- Group theory : the faces of the trihexaflexagon -- Combinatorial and group-theoretical threads : extended face planes of the Platonic solids -- A historical thread : involving the Euler characteristic, Descartes' total angular defect, and Pólya's dream -- Tying some loose ends together : symmetry, group theory, homologues, and the Pólya enumeration theorem -- Returning to the number-theory thread : generalized quasi-order and coach theorems. |
| ctrlnum | (OCoLC)659764667 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>06296cam a2200949 a 4500</leader><controlfield tag="001">ZDB-4-EBA-ocn659764667</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20241004212047.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr mnu---unuuu</controlfield><controlfield tag="008">100831s2010 enka ob 001 0 eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="z"> 2010010230</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">N$T</subfield><subfield code="b">eng</subfield><subfield code="e">pn</subfield><subfield code="c">N$T</subfield><subfield code="d">OCLCA</subfield><subfield code="d">OSU</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">YDXCP</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCF</subfield><subfield code="d">CDX</subfield><subfield code="d">COO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">COCUF</subfield><subfield code="d">CNNOR</subfield><subfield code="d">PIFAG</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">WY@</subfield><subfield code="d">LUE</subfield><subfield code="d">UAB</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">INT</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">VLB</subfield><subfield code="d">K6U</subfield><subfield code="d">UKCRE</subfield><subfield code="d">VT2</subfield><subfield code="d">LUN</subfield><subfield code="d">AUD</subfield><subfield code="d">S2H</subfield><subfield code="d">UKAHL</subfield><subfield code="d">QGK</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">INARC</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCL</subfield><subfield code="d">SFB</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">659730139</subfield><subfield code="a">1153545711</subfield><subfield code="a">1170436485</subfield><subfield code="a">1170567197</subfield><subfield code="a">1228609929</subfield><subfield code="a">1259138882</subfield><subfield code="a">1392376929</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511776557</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0511776551</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511773976</subfield><subfield code="q">(ebook)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0511773978</subfield><subfield code="q">(ebook)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9780521764100</subfield><subfield code="q">(hardback)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">0521764106</subfield><subfield code="q">(hardback)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9780521128216</subfield><subfield code="q">(pbk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">0521128218</subfield><subfield code="q">(pbk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511777004</subfield><subfield code="q">(ebook)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0511777000</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1107208505</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781107208506</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1139636650</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781139636650</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1282723421</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781282723429</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9786612723421</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">6612723424</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0511775792</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511775796</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0511772904</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511772900</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0511775032</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511775031</subfield></datafield><datafield tag="024" ind1="8" ind2=" "><subfield code="a">9786612723421</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)659764667</subfield><subfield code="z">(OCoLC)659730139</subfield><subfield code="z">(OCoLC)1153545711</subfield><subfield code="z">(OCoLC)1170436485</subfield><subfield code="z">(OCoLC)1170567197</subfield><subfield code="z">(OCoLC)1228609929</subfield><subfield code="z">(OCoLC)1259138882</subfield><subfield code="z">(OCoLC)1392376929</subfield></datafield><datafield tag="037" ind1=" " ind2=" "><subfield code="a">272342</subfield><subfield code="b">MIL</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA36</subfield><subfield code="b">.H53 2010eb</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">023000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">026000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">039000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">510</subfield><subfield code="2">22</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Hilton, Peter,</subfield><subfield code="d">1923-2010.</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PBJyrYD3WXH64pMQgXVxYyd</subfield><subfield code="0">http://id.loc.gov/authorities/names/n50034438</subfield></datafield><datafield tag="245" ind1="1" ind2="2"><subfield code="a">A mathematical tapestry :</subfield><subfield code="b">demonstrating the beautiful unity of mathematics /</subfield><subfield code="c">Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">Cambridge ;</subfield><subfield code="a">New York :</subfield><subfield code="b">Cambridge University Press,</subfield><subfield code="c">©2010.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xv, 290 pages) :</subfield><subfield code="b">illustrations</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">"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"--</subfield><subfield code="c">Provided by publisher.</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (pages 282-285) and index.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">Flexagons : a beginning thread -- Another thread : 1-period paper folding -- More paper folding threads : 2-period paper-folding -- A number-theory thread : folding numbers, a number trick, and some titbits -- The polyhedron thread : building some polyhedra and defining a regular polyhedron -- Constructing dipyramids and rotating rings from straight strips of triangles -- Continuing the paper-folding and number-theory threads -- A geometry and algebra thread : constructing, and using, Jennifer's puzzle -- A polyhedral geometry thread : constructing braided Platonic solids and other woven polyhedra -- Combinatorial and symmetry threads -- Some golden threads : constructing more dodecahedra -- More combinatorial threads : collapsoids -- Group theory : the faces of the trihexaflexagon -- Combinatorial and group-theoretical threads : extended face planes of the Platonic solids -- A historical thread : involving the Euler characteristic, Descartes' total angular defect, and Pólya's dream -- Tying some loose ends together : symmetry, group theory, homologues, and the Pólya enumeration theorem -- Returning to the number-theory thread : generalized quasi-order and coach theorems.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Mathematics.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85082139</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Mathématiques.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">mathematics.</subfield><subfield code="2">aat</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">applied mathematics.</subfield><subfield code="2">aat</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Pre-Calculus.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Reference.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Essays.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mathematics</subfield><subfield code="2">fast</subfield></datafield><datafield tag="655" ind1=" " ind2="0"><subfield code="a">Electronic books.</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Puzzles and games</subfield><subfield code="2">fast</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Puzzles and games.</subfield><subfield code="2">lcgft</subfield><subfield code="0">http://id.loc.gov/authorities/genreForms/gf2014026158</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Pedersen, Jean.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n82147267</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">A mathematical tapestry (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCG88XrtvbPrbXm8gjDKtGb</subfield><subfield code="4">https://id.oclc.org/worldcat/ontology/hasWork</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Hilton, Peter John.</subfield><subfield code="t">Mathematical tapestry.</subfield><subfield code="d">New York : Cambridge University Press, 2010</subfield><subfield code="z">9780521764100</subfield><subfield code="w">(DLC) 2010010230</subfield><subfield code="w">(OCoLC)564132786</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=324018</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Coutts Information Services</subfield><subfield code="b">COUT</subfield><subfield code="n">14702197</subfield><subfield code="c">19.99 GBP</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">324018</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">3408161</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">3441548</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">3584106</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">3402787</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH13432156</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Internet Archive</subfield><subfield code="b">INAR</subfield><subfield code="n">mathematicaltape0000hilt</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
| genre | Electronic books. Puzzles and games fast Puzzles and games. lcgft http://id.loc.gov/authorities/genreForms/gf2014026158 |
| genre_facet | Electronic books. Puzzles and games Puzzles and games. |
| id | ZDB-4-EBA-ocn659764667 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:29Z |
| institution | BVB |
| isbn | 9780511776557 0511776551 9780511773976 0511773978 9780511777004 0511777000 1107208505 9781107208506 1139636650 9781139636650 1282723421 9781282723429 9786612723421 6612723424 0511775792 9780511775796 0511772904 9780511772900 0511775032 9780511775031 |
| language | English |
| oclc_num | 659764667 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xv, 290 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Cambridge University Press, |
| record_format | marc |
| spelling | Hilton, Peter, 1923-2010. https://id.oclc.org/worldcat/entity/E39PBJyrYD3WXH64pMQgXVxYyd http://id.loc.gov/authorities/names/n50034438 A mathematical tapestry : demonstrating the beautiful unity of mathematics / Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer. Cambridge ; New York : Cambridge University Press, ©2010. 1 online resource (xv, 290 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier "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"-- Provided by publisher. Includes bibliographical references (pages 282-285) and index. Print version record. Flexagons : a beginning thread -- Another thread : 1-period paper folding -- More paper folding threads : 2-period paper-folding -- A number-theory thread : folding numbers, a number trick, and some titbits -- The polyhedron thread : building some polyhedra and defining a regular polyhedron -- Constructing dipyramids and rotating rings from straight strips of triangles -- Continuing the paper-folding and number-theory threads -- A geometry and algebra thread : constructing, and using, Jennifer's puzzle -- A polyhedral geometry thread : constructing braided Platonic solids and other woven polyhedra -- Combinatorial and symmetry threads -- Some golden threads : constructing more dodecahedra -- More combinatorial threads : collapsoids -- Group theory : the faces of the trihexaflexagon -- Combinatorial and group-theoretical threads : extended face planes of the Platonic solids -- A historical thread : involving the Euler characteristic, Descartes' total angular defect, and Pólya's dream -- Tying some loose ends together : symmetry, group theory, homologues, and the Pólya enumeration theorem -- Returning to the number-theory thread : generalized quasi-order and coach theorems. Mathematics. http://id.loc.gov/authorities/subjects/sh85082139 Mathématiques. mathematics. aat applied mathematics. aat MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh MATHEMATICS Essays. bisacsh Mathematics fast Electronic books. Puzzles and games fast Puzzles and games. lcgft http://id.loc.gov/authorities/genreForms/gf2014026158 Pedersen, Jean. http://id.loc.gov/authorities/names/n82147267 has work: A mathematical tapestry (Text) https://id.oclc.org/worldcat/entity/E39PCG88XrtvbPrbXm8gjDKtGb https://id.oclc.org/worldcat/ontology/hasWork Print version: Hilton, Peter John. Mathematical tapestry. New York : Cambridge University Press, 2010 9780521764100 (DLC) 2010010230 (OCoLC)564132786 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=324018 Volltext |
| spellingShingle | Hilton, Peter, 1923-2010 A mathematical tapestry : demonstrating the beautiful unity of mathematics / Flexagons : a beginning thread -- Another thread : 1-period paper folding -- More paper folding threads : 2-period paper-folding -- A number-theory thread : folding numbers, a number trick, and some titbits -- The polyhedron thread : building some polyhedra and defining a regular polyhedron -- Constructing dipyramids and rotating rings from straight strips of triangles -- Continuing the paper-folding and number-theory threads -- A geometry and algebra thread : constructing, and using, Jennifer's puzzle -- A polyhedral geometry thread : constructing braided Platonic solids and other woven polyhedra -- Combinatorial and symmetry threads -- Some golden threads : constructing more dodecahedra -- More combinatorial threads : collapsoids -- Group theory : the faces of the trihexaflexagon -- Combinatorial and group-theoretical threads : extended face planes of the Platonic solids -- A historical thread : involving the Euler characteristic, Descartes' total angular defect, and Pólya's dream -- Tying some loose ends together : symmetry, group theory, homologues, and the Pólya enumeration theorem -- Returning to the number-theory thread : generalized quasi-order and coach theorems. Mathematics. http://id.loc.gov/authorities/subjects/sh85082139 Mathématiques. mathematics. aat applied mathematics. aat MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh MATHEMATICS Essays. bisacsh Mathematics fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082139 http://id.loc.gov/authorities/genreForms/gf2014026158 |
| title | A mathematical tapestry : demonstrating the beautiful unity of mathematics / |
| title_auth | A mathematical tapestry : demonstrating the beautiful unity of mathematics / |
| title_exact_search | A mathematical tapestry : demonstrating the beautiful unity of mathematics / |
| title_full | A mathematical tapestry : demonstrating the beautiful unity of mathematics / Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer. |
| title_fullStr | A mathematical tapestry : demonstrating the beautiful unity of mathematics / Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer. |
| title_full_unstemmed | A mathematical tapestry : demonstrating the beautiful unity of mathematics / Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer. |
| title_short | A mathematical tapestry : |
| title_sort | mathematical tapestry demonstrating the beautiful unity of mathematics |
| title_sub | demonstrating the beautiful unity of mathematics / |
| topic | Mathematics. http://id.loc.gov/authorities/subjects/sh85082139 Mathématiques. mathematics. aat applied mathematics. aat MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh MATHEMATICS Essays. bisacsh Mathematics fast |
| topic_facet | Mathematics. Mathématiques. mathematics. applied mathematics. MATHEMATICS Pre-Calculus. MATHEMATICS Reference. MATHEMATICS Essays. Mathematics Electronic books. Puzzles and games Puzzles and games. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=324018 |
| work_keys_str_mv | AT hiltonpeter amathematicaltapestrydemonstratingthebeautifulunityofmathematics AT pedersenjean amathematicaltapestrydemonstratingthebeautifulunityofmathematics AT hiltonpeter mathematicaltapestrydemonstratingthebeautifulunityofmathematics AT pedersenjean mathematicaltapestrydemonstratingthebeautifulunityofmathematics |