Indra's pearls :: the vision of Felix Klein /
"Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infi...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | , , |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge :
Cambridge University Press,
2002.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple co-existing symmetries, each simple in itself, but whose interactions produce fractals on the edge of chaos. For a century these images, which were practically impossible to draw by hand, barely existed outside the imagination of mathematicians. However in the 1980s the authors embarked on the first computer exploration of Klein's vision, and in so doing found further extraordinary images of their own. Join the authors on the path from some basic mathemathical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can learn to understand what the images mean and follow the step-by-step instructions for writing computer programs that generate them. More advanced readers can see how the images relate to ideas that take them to the forefront of research."--Jacket. |
| Beschreibung: | Includes index. |
| Beschreibung: | 1 online resource (xix, 395 pages) : illustrations (some color) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9780511065309 0511065302 9781107050051 1107050057 9780511067433 0511067437 9781107712683 1107712688 9781107564749 1107564743 |
Internformat
MARC
| LEADER | 00000cam a2200000Ma 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-ocm70763570 | ||
| 003 | OCoLC | ||
| 005 | 20241004212047.0 | ||
| 006 | m o d | ||
| 007 | cr cn||||||||| | ||
| 008 | 020524s2002 enka o 001 0 eng d | ||
| 010 | |a 2002510876 | ||
| 040 | |a INU |b eng |e pn |c INU |d OCLCG |d OCLCQ |d HVC |d OCLCQ |d DKDLA |d ADU |d E7B |d OCLCO |d OCLCQ |d CNMTR |d N$T |d OCLCQ |d YDXCP |d OCLCF |d CAMBR |d EBLCP |d DEBSZ |d EUX |d CAMBR |d OCLCQ |d COO |d HQP |d OCLCQ |d OCLCO |d LOA |d AZK |d OCLCQ |d OCLCO |d YDX |d OCLCO |d CNNOR |d AGLDB |d MOR |d PIFBR |d OCLCA |d ZCU |d MERUC |d OCLCQ |d OCLCO |d U3W |d UAB |d OCLCO |d BRL |d STF |d WRM |d OCLCQ |d VTS |d NRAMU |d ICG |d REC |d INT |d VT2 |d OCLCQ |d OCLCO |d WYU |d A6Q |d OCLCQ |d OCLCO |d G3B |d DKC |d AU@ |d OCLCQ |d OCLCO |d M8D |d OCLCQ |d OCLCO |d UHL |d UKCRE |d LUN |d UKAHL |d MHW |d OCLCO |d TXE |d OCLCQ |d OCL |d OCLCQ |d INARC |d OCLCO |d OCLCL |d SFB | ||
| 019 | |a 474420809 |a 614745946 |a 646706728 |a 722109773 |a 873806318 |a 874319936 |a 888663081 |a 960205315 |a 961688140 |a 962694066 |a 967710394 |a 968182733 |a 985181075 |a 985401157 |a 988537459 |a 991916632 |a 1031857552 |a 1037457420 |a 1038624701 |a 1045458641 |a 1055379117 |a 1062916178 |a 1076287034 |a 1113817321 |a 1153534205 |a 1167351538 |a 1228601821 |a 1266535681 |a 1391569339 | ||
| 020 | |a 9780511065309 |q (electronic bk.) | ||
| 020 | |a 0511065302 |q (electronic bk.) | ||
| 020 | |a 9781107050051 |q (electronic bk.) | ||
| 020 | |a 1107050057 |q (electronic bk.) | ||
| 020 | |a 9780511067433 | ||
| 020 | |a 0511067437 | ||
| 020 | |z 0521352533 | ||
| 020 | |z 9780521352536 | ||
| 020 | |a 9781107712683 |q (e-book) | ||
| 020 | |a 1107712688 | ||
| 020 | |a 9781107564749 |q (paperback) | ||
| 020 | |a 1107564743 | ||
| 035 | |a (OCoLC)70763570 |z (OCoLC)474420809 |z (OCoLC)614745946 |z (OCoLC)646706728 |z (OCoLC)722109773 |z (OCoLC)873806318 |z (OCoLC)874319936 |z (OCoLC)888663081 |z (OCoLC)960205315 |z (OCoLC)961688140 |z (OCoLC)962694066 |z (OCoLC)967710394 |z (OCoLC)968182733 |z (OCoLC)985181075 |z (OCoLC)985401157 |z (OCoLC)988537459 |z (OCoLC)991916632 |z (OCoLC)1031857552 |z (OCoLC)1037457420 |z (OCoLC)1038624701 |z (OCoLC)1045458641 |z (OCoLC)1055379117 |z (OCoLC)1062916178 |z (OCoLC)1076287034 |z (OCoLC)1113817321 |z (OCoLC)1153534205 |z (OCoLC)1167351538 |z (OCoLC)1228601821 |z (OCoLC)1266535681 |z (OCoLC)1391569339 | ||
| 050 | 4 | |a QA447 |b .M86 2002eb | |
| 055 | 8 | |a QA445 |b .M86 2002 | |
| 072 | 7 | |a MAT |x 038000 |2 bisacsh | |
| 082 | 7 | |a 514/.742 |2 21 | |
| 084 | |a 31.00 |2 bcl | ||
| 084 | |a 31.59 |2 bcl | ||
| 084 | |a 31.76 |2 bcl | ||
| 084 | |a *00A05 |2 msc | ||
| 084 | |a 00-01 |2 msc | ||
| 084 | |a 20H10 |2 msc | ||
| 084 | |a 28A80 |2 msc | ||
| 084 | |a 30F40 |2 msc | ||
| 084 | |a 37F30 |2 msc | ||
| 084 | |a 52C26 |2 msc | ||
| 084 | |a 68R15 |2 msc | ||
| 084 | |a SK 340 |2 rvk | ||
| 084 | |a SN 300 |2 rvk | ||
| 084 | |a 17,1 |2 ssgn | ||
| 084 | |a MAT 519f |2 stub | ||
| 084 | |a MAT 005f |2 stub | ||
| 084 | |a SG 590 |2 rvk | ||
| 084 | |a MAT 006f |2 stub | ||
| 049 | |a MAIN | ||
| 100 | 1 | |a Mumford, David, |d 1937- |1 https://id.oclc.org/worldcat/entity/E39PBJqkcjCjWPX78yDBT3pByd |0 http://id.loc.gov/authorities/names/n50036593 | |
| 245 | 1 | 0 | |a Indra's pearls : |b the vision of Felix Klein / |c David Mumford, Caroline Series and David Wright ; with cartoons by Larry Gonick. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2002. | ||
| 300 | |a 1 online resource (xix, 395 pages) : |b illustrations (some color) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file |2 rda | ||
| 500 | |a Includes index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a The language of symmetry -- A delightful fiction -- Double spirals and Möbius maps -- The Schottky dance -- Fractal dust and infinite words -- Indra's necklace -- The glowing gasket -- Playing with parameters -- Accidents will happen -- Between the cracks -- Crossing boundaries -- Epilogue -- Index -- Road map. | |
| 520 | 1 | |a "Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple co-existing symmetries, each simple in itself, but whose interactions produce fractals on the edge of chaos. For a century these images, which were practically impossible to draw by hand, barely existed outside the imagination of mathematicians. However in the 1980s the authors embarked on the first computer exploration of Klein's vision, and in so doing found further extraordinary images of their own. Join the authors on the path from some basic mathemathical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can learn to understand what the images mean and follow the step-by-step instructions for writing computer programs that generate them. More advanced readers can see how the images relate to ideas that take them to the forefront of research."--Jacket. | |
| 504 | |a Includes bibliographical references and index. | ||
| 600 | 1 | 0 | |a Klein, Felix, |d 1849-1925. |0 http://id.loc.gov/authorities/names/n79068357 |
| 600 | 1 | 6 | |a Klein, Félix, |d 1849-1925. |
| 600 | 1 | 7 | |a Klein, Felix, |d 1849-1925 |2 fast |1 https://id.oclc.org/worldcat/entity/E39PBJhRCR98rT6qRpHKY9b68C |
| 650 | 0 | |a Geometry. |0 http://id.loc.gov/authorities/subjects/sh85054133 | |
| 650 | 0 | |a Symmetry. |0 http://id.loc.gov/authorities/subjects/sh85131440 | |
| 650 | 0 | |a Indra (Hindu deity) |0 http://id.loc.gov/authorities/subjects/sh85065794 | |
| 650 | 0 | |a Fractals. |0 http://id.loc.gov/authorities/subjects/sh85051147 | |
| 650 | 6 | |a Fractales. | |
| 650 | 6 | |a Géométrie. | |
| 650 | 6 | |a Symétrie. | |
| 650 | 7 | |a geometry. |2 aat | |
| 650 | 7 | |a fractals. |2 aat | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Fractals |2 fast | |
| 650 | 7 | |a Geometry |2 fast | |
| 650 | 7 | |a Indra (Hindu deity) |2 fast | |
| 650 | 7 | |a Symmetry |2 fast | |
| 650 | 7 | |a Fraktalgeometrie |2 gnd |0 http://d-nb.info/gnd/4473576-5 | |
| 650 | 1 | 7 | |a Parels. |2 gtt |
| 650 | 7 | |a Geometria. |2 larpcal | |
| 650 | 7 | |a Grupos de klein. |2 larpcal | |
| 655 | 0 | |a Electronic book. | |
| 655 | 4 | |a Electronic books. | |
| 700 | 1 | |a Series, Caroline. | |
| 700 | 1 | |a Wright, David James. |0 http://id.loc.gov/authorities/names/n85811050 | |
| 700 | 1 | |a Gonick, Larry. | |
| 776 | 0 | 8 | |i Print version: |a Mumford, David, 1937- |t Indra's pearls |z 0521352533 |w (DLC) 2002510876 |w (OCoLC)49859120 |
| 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=120218 |3 Volltext |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37562002 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL217854 | ||
| 938 | |a ebrary |b EBRY |n ebr10014603 | ||
| 938 | |a EBSCOhost |b EBSC |n 120218 | ||
| 938 | |a YBP Library Services |b YANK |n 2826269 | ||
| 938 | |a YBP Library Services |b YANK |n 11577235 | ||
| 938 | |a YBP Library Services |b YANK |n 11714642 | ||
| 938 | |a YBP Library Services |b YANK |n 11715673 | ||
| 938 | |a Internet Archive |b INAR |n indraspearlsvisi0000mumf | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-863 | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocm70763570 |
|---|---|
| _version_ | 1816881639050969088 |
| adam_text | |
| any_adam_object | |
| author | Mumford, David, 1937- |
| author2 | Series, Caroline Wright, David James Gonick, Larry |
| author2_role | |
| author2_variant | c s cs d j w dj djw l g lg |
| author_GND | http://id.loc.gov/authorities/names/n50036593 http://id.loc.gov/authorities/names/n85811050 |
| author_facet | Mumford, David, 1937- Series, Caroline Wright, David James Gonick, Larry |
| author_role | |
| author_sort | Mumford, David, 1937- |
| author_variant | d m dm |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA447 |
| callnumber-raw | QA447 .M86 2002eb |
| callnumber-search | QA447 .M86 2002eb |
| callnumber-sort | QA 3447 M86 42002EB |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 340 SN 300 SG 590 |
| classification_tum | MAT 519f MAT 005f MAT 006f |
| collection | ZDB-4-EBA |
| contents | The language of symmetry -- A delightful fiction -- Double spirals and Möbius maps -- The Schottky dance -- Fractal dust and infinite words -- Indra's necklace -- The glowing gasket -- Playing with parameters -- Accidents will happen -- Between the cracks -- Crossing boundaries -- Epilogue -- Index -- Road map. |
| ctrlnum | (OCoLC)70763570 |
| dewey-full | 514/.742 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.742 |
| dewey-search | 514/.742 |
| dewey-sort | 3514 3742 |
| 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>07064cam a2201177Ma 4500</leader><controlfield tag="001">ZDB-4-EBA-ocm70763570 </controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20241004212047.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr cn|||||||||</controlfield><controlfield tag="008">020524s2002 enka o 001 0 eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a"> 2002510876</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">INU</subfield><subfield code="b">eng</subfield><subfield code="e">pn</subfield><subfield code="c">INU</subfield><subfield code="d">OCLCG</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">HVC</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">DKDLA</subfield><subfield code="d">ADU</subfield><subfield code="d">E7B</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">CNMTR</subfield><subfield code="d">N$T</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">YDXCP</subfield><subfield code="d">OCLCF</subfield><subfield code="d">CAMBR</subfield><subfield code="d">EBLCP</subfield><subfield code="d">DEBSZ</subfield><subfield code="d">EUX</subfield><subfield code="d">CAMBR</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">COO</subfield><subfield code="d">HQP</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">LOA</subfield><subfield code="d">AZK</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">YDX</subfield><subfield code="d">OCLCO</subfield><subfield code="d">CNNOR</subfield><subfield code="d">AGLDB</subfield><subfield code="d">MOR</subfield><subfield code="d">PIFBR</subfield><subfield code="d">OCLCA</subfield><subfield code="d">ZCU</subfield><subfield code="d">MERUC</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">U3W</subfield><subfield code="d">UAB</subfield><subfield code="d">OCLCO</subfield><subfield code="d">BRL</subfield><subfield code="d">STF</subfield><subfield code="d">WRM</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">VTS</subfield><subfield code="d">NRAMU</subfield><subfield code="d">ICG</subfield><subfield code="d">REC</subfield><subfield code="d">INT</subfield><subfield code="d">VT2</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">WYU</subfield><subfield code="d">A6Q</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">G3B</subfield><subfield code="d">DKC</subfield><subfield code="d">AU@</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">M8D</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">UHL</subfield><subfield code="d">UKCRE</subfield><subfield code="d">LUN</subfield><subfield code="d">UKAHL</subfield><subfield code="d">MHW</subfield><subfield code="d">OCLCO</subfield><subfield code="d">TXE</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">INARC</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCL</subfield><subfield code="d">SFB</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">474420809</subfield><subfield code="a">614745946</subfield><subfield code="a">646706728</subfield><subfield code="a">722109773</subfield><subfield code="a">873806318</subfield><subfield code="a">874319936</subfield><subfield code="a">888663081</subfield><subfield code="a">960205315</subfield><subfield code="a">961688140</subfield><subfield code="a">962694066</subfield><subfield code="a">967710394</subfield><subfield code="a">968182733</subfield><subfield code="a">985181075</subfield><subfield code="a">985401157</subfield><subfield code="a">988537459</subfield><subfield code="a">991916632</subfield><subfield code="a">1031857552</subfield><subfield code="a">1037457420</subfield><subfield code="a">1038624701</subfield><subfield code="a">1045458641</subfield><subfield code="a">1055379117</subfield><subfield code="a">1062916178</subfield><subfield code="a">1076287034</subfield><subfield code="a">1113817321</subfield><subfield code="a">1153534205</subfield><subfield code="a">1167351538</subfield><subfield code="a">1228601821</subfield><subfield code="a">1266535681</subfield><subfield code="a">1391569339</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511065309</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0511065302</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781107050051</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1107050057</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511067433</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0511067437</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">0521352533</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9780521352536</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781107712683</subfield><subfield code="q">(e-book)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1107712688</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781107564749</subfield><subfield code="q">(paperback)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1107564743</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)70763570</subfield><subfield code="z">(OCoLC)474420809</subfield><subfield code="z">(OCoLC)614745946</subfield><subfield code="z">(OCoLC)646706728</subfield><subfield code="z">(OCoLC)722109773</subfield><subfield code="z">(OCoLC)873806318</subfield><subfield code="z">(OCoLC)874319936</subfield><subfield code="z">(OCoLC)888663081</subfield><subfield code="z">(OCoLC)960205315</subfield><subfield code="z">(OCoLC)961688140</subfield><subfield code="z">(OCoLC)962694066</subfield><subfield code="z">(OCoLC)967710394</subfield><subfield code="z">(OCoLC)968182733</subfield><subfield code="z">(OCoLC)985181075</subfield><subfield code="z">(OCoLC)985401157</subfield><subfield code="z">(OCoLC)988537459</subfield><subfield code="z">(OCoLC)991916632</subfield><subfield code="z">(OCoLC)1031857552</subfield><subfield code="z">(OCoLC)1037457420</subfield><subfield code="z">(OCoLC)1038624701</subfield><subfield code="z">(OCoLC)1045458641</subfield><subfield code="z">(OCoLC)1055379117</subfield><subfield code="z">(OCoLC)1062916178</subfield><subfield code="z">(OCoLC)1076287034</subfield><subfield code="z">(OCoLC)1113817321</subfield><subfield code="z">(OCoLC)1153534205</subfield><subfield code="z">(OCoLC)1167351538</subfield><subfield code="z">(OCoLC)1228601821</subfield><subfield code="z">(OCoLC)1266535681</subfield><subfield code="z">(OCoLC)1391569339</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA447</subfield><subfield code="b">.M86 2002eb</subfield></datafield><datafield tag="055" ind1=" " ind2="8"><subfield code="a">QA445</subfield><subfield code="b">.M86 2002</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">038000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">514/.742</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.00</subfield><subfield code="2">bcl</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.59</subfield><subfield code="2">bcl</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.76</subfield><subfield code="2">bcl</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">*00A05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">00-01</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">20H10</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">28A80</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">30F40</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">37F30</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">52C26</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">68R15</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 340</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SN 300</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 519f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 005f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SG 590</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 006f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Mumford, David,</subfield><subfield code="d">1937-</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PBJqkcjCjWPX78yDBT3pByd</subfield><subfield code="0">http://id.loc.gov/authorities/names/n50036593</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Indra's pearls :</subfield><subfield code="b">the vision of Felix Klein /</subfield><subfield code="c">David Mumford, Caroline Series and David Wright ; with cartoons by Larry Gonick.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">Cambridge :</subfield><subfield code="b">Cambridge University Press,</subfield><subfield code="c">2002.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xix, 395 pages) :</subfield><subfield code="b">illustrations (some color)</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="347" ind1=" " ind2=" "><subfield code="a">data file</subfield><subfield code="2">rda</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes 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">The language of symmetry -- A delightful fiction -- Double spirals and Möbius maps -- The Schottky dance -- Fractal dust and infinite words -- Indra's necklace -- The glowing gasket -- Playing with parameters -- Accidents will happen -- Between the cracks -- Crossing boundaries -- Epilogue -- Index -- Road map.</subfield></datafield><datafield tag="520" ind1="1" ind2=" "><subfield code="a">"Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple co-existing symmetries, each simple in itself, but whose interactions produce fractals on the edge of chaos. For a century these images, which were practically impossible to draw by hand, barely existed outside the imagination of mathematicians. However in the 1980s the authors embarked on the first computer exploration of Klein's vision, and in so doing found further extraordinary images of their own. Join the authors on the path from some basic mathemathical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can learn to understand what the images mean and follow the step-by-step instructions for writing computer programs that generate them. More advanced readers can see how the images relate to ideas that take them to the forefront of research."--Jacket.</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index.</subfield></datafield><datafield tag="600" ind1="1" ind2="0"><subfield code="a">Klein, Felix,</subfield><subfield code="d">1849-1925.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n79068357</subfield></datafield><datafield tag="600" ind1="1" ind2="6"><subfield code="a">Klein, Félix,</subfield><subfield code="d">1849-1925.</subfield></datafield><datafield tag="600" ind1="1" ind2="7"><subfield code="a">Klein, Felix,</subfield><subfield code="d">1849-1925</subfield><subfield code="2">fast</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PBJhRCR98rT6qRpHKY9b68C</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Geometry.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85054133</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Symmetry.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85131440</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Indra (Hindu deity)</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85065794</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Fractals.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85051147</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Fractales.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Géométrie.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Symétrie.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">geometry.</subfield><subfield code="2">aat</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">fractals.</subfield><subfield code="2">aat</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Topology.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Fractals</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Geometry</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Indra (Hindu deity)</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Symmetry</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Fraktalgeometrie</subfield><subfield code="2">gnd</subfield><subfield code="0">http://d-nb.info/gnd/4473576-5</subfield></datafield><datafield tag="650" ind1="1" ind2="7"><subfield code="a">Parels.</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Geometria.</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Grupos de klein.</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="655" ind1=" " ind2="0"><subfield code="a">Electronic book.</subfield></datafield><datafield tag="655" ind1=" " ind2="4"><subfield code="a">Electronic books.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Series, Caroline.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Wright, David James.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n85811050</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gonick, Larry.</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Mumford, David, 1937-</subfield><subfield code="t">Indra's pearls</subfield><subfield code="z">0521352533</subfield><subfield code="w">(DLC) 2002510876</subfield><subfield code="w">(OCoLC)49859120</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=120218</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH37562002</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBL - Ebook Library</subfield><subfield code="b">EBLB</subfield><subfield code="n">EBL217854</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ebrary</subfield><subfield code="b">EBRY</subfield><subfield code="n">ebr10014603</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">120218</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">2826269</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">11577235</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">11714642</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">11715673</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Internet Archive</subfield><subfield code="b">INAR</subfield><subfield code="n">indraspearlsvisi0000mumf</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 book. Electronic books. |
| genre_facet | Electronic book. Electronic books. |
| id | ZDB-4-EBA-ocm70763570 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:15:55Z |
| institution | BVB |
| isbn | 9780511065309 0511065302 9781107050051 1107050057 9780511067433 0511067437 9781107712683 1107712688 9781107564749 1107564743 |
| language | English |
| lccn | 2002510876 |
| oclc_num | 70763570 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xix, 395 pages) : illustrations (some color) |
| psigel | ZDB-4-EBA |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Cambridge University Press, |
| record_format | marc |
| spelling | Mumford, David, 1937- https://id.oclc.org/worldcat/entity/E39PBJqkcjCjWPX78yDBT3pByd http://id.loc.gov/authorities/names/n50036593 Indra's pearls : the vision of Felix Klein / David Mumford, Caroline Series and David Wright ; with cartoons by Larry Gonick. Cambridge : Cambridge University Press, 2002. 1 online resource (xix, 395 pages) : illustrations (some color) text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda Includes index. Print version record. The language of symmetry -- A delightful fiction -- Double spirals and Möbius maps -- The Schottky dance -- Fractal dust and infinite words -- Indra's necklace -- The glowing gasket -- Playing with parameters -- Accidents will happen -- Between the cracks -- Crossing boundaries -- Epilogue -- Index -- Road map. "Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple co-existing symmetries, each simple in itself, but whose interactions produce fractals on the edge of chaos. For a century these images, which were practically impossible to draw by hand, barely existed outside the imagination of mathematicians. However in the 1980s the authors embarked on the first computer exploration of Klein's vision, and in so doing found further extraordinary images of their own. Join the authors on the path from some basic mathemathical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can learn to understand what the images mean and follow the step-by-step instructions for writing computer programs that generate them. More advanced readers can see how the images relate to ideas that take them to the forefront of research."--Jacket. Includes bibliographical references and index. Klein, Felix, 1849-1925. http://id.loc.gov/authorities/names/n79068357 Klein, Félix, 1849-1925. Klein, Felix, 1849-1925 fast https://id.oclc.org/worldcat/entity/E39PBJhRCR98rT6qRpHKY9b68C Geometry. http://id.loc.gov/authorities/subjects/sh85054133 Symmetry. http://id.loc.gov/authorities/subjects/sh85131440 Indra (Hindu deity) http://id.loc.gov/authorities/subjects/sh85065794 Fractals. http://id.loc.gov/authorities/subjects/sh85051147 Fractales. Géométrie. Symétrie. geometry. aat fractals. aat MATHEMATICS Topology. bisacsh Fractals fast Geometry fast Indra (Hindu deity) fast Symmetry fast Fraktalgeometrie gnd http://d-nb.info/gnd/4473576-5 Parels. gtt Geometria. larpcal Grupos de klein. larpcal Electronic book. Electronic books. Series, Caroline. Wright, David James. http://id.loc.gov/authorities/names/n85811050 Gonick, Larry. Print version: Mumford, David, 1937- Indra's pearls 0521352533 (DLC) 2002510876 (OCoLC)49859120 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=120218 Volltext |
| spellingShingle | Mumford, David, 1937- Indra's pearls : the vision of Felix Klein / The language of symmetry -- A delightful fiction -- Double spirals and Möbius maps -- The Schottky dance -- Fractal dust and infinite words -- Indra's necklace -- The glowing gasket -- Playing with parameters -- Accidents will happen -- Between the cracks -- Crossing boundaries -- Epilogue -- Index -- Road map. Klein, Felix, 1849-1925. http://id.loc.gov/authorities/names/n79068357 Klein, Félix, 1849-1925. Klein, Felix, 1849-1925 fast https://id.oclc.org/worldcat/entity/E39PBJhRCR98rT6qRpHKY9b68C Geometry. http://id.loc.gov/authorities/subjects/sh85054133 Symmetry. http://id.loc.gov/authorities/subjects/sh85131440 Indra (Hindu deity) http://id.loc.gov/authorities/subjects/sh85065794 Fractals. http://id.loc.gov/authorities/subjects/sh85051147 Fractales. Géométrie. Symétrie. geometry. aat fractals. aat MATHEMATICS Topology. bisacsh Fractals fast Geometry fast Indra (Hindu deity) fast Symmetry fast Fraktalgeometrie gnd http://d-nb.info/gnd/4473576-5 Parels. gtt Geometria. larpcal Grupos de klein. larpcal |
| subject_GND | http://id.loc.gov/authorities/names/n79068357 http://id.loc.gov/authorities/subjects/sh85054133 http://id.loc.gov/authorities/subjects/sh85131440 http://id.loc.gov/authorities/subjects/sh85065794 http://id.loc.gov/authorities/subjects/sh85051147 http://d-nb.info/gnd/4473576-5 |
| title | Indra's pearls : the vision of Felix Klein / |
| title_auth | Indra's pearls : the vision of Felix Klein / |
| title_exact_search | Indra's pearls : the vision of Felix Klein / |
| title_full | Indra's pearls : the vision of Felix Klein / David Mumford, Caroline Series and David Wright ; with cartoons by Larry Gonick. |
| title_fullStr | Indra's pearls : the vision of Felix Klein / David Mumford, Caroline Series and David Wright ; with cartoons by Larry Gonick. |
| title_full_unstemmed | Indra's pearls : the vision of Felix Klein / David Mumford, Caroline Series and David Wright ; with cartoons by Larry Gonick. |
| title_short | Indra's pearls : |
| title_sort | indra s pearls the vision of felix klein |
| title_sub | the vision of Felix Klein / |
| topic | Klein, Felix, 1849-1925. http://id.loc.gov/authorities/names/n79068357 Klein, Félix, 1849-1925. Klein, Felix, 1849-1925 fast https://id.oclc.org/worldcat/entity/E39PBJhRCR98rT6qRpHKY9b68C Geometry. http://id.loc.gov/authorities/subjects/sh85054133 Symmetry. http://id.loc.gov/authorities/subjects/sh85131440 Indra (Hindu deity) http://id.loc.gov/authorities/subjects/sh85065794 Fractals. http://id.loc.gov/authorities/subjects/sh85051147 Fractales. Géométrie. Symétrie. geometry. aat fractals. aat MATHEMATICS Topology. bisacsh Fractals fast Geometry fast Indra (Hindu deity) fast Symmetry fast Fraktalgeometrie gnd http://d-nb.info/gnd/4473576-5 Parels. gtt Geometria. larpcal Grupos de klein. larpcal |
| topic_facet | Klein, Felix, 1849-1925. Klein, Félix, 1849-1925. Klein, Felix, 1849-1925 Geometry. Symmetry. Indra (Hindu deity) Fractals. Fractales. Géométrie. Symétrie. geometry. fractals. MATHEMATICS Topology. Fractals Geometry Symmetry Fraktalgeometrie Parels. Geometria. Grupos de klein. Electronic book. Electronic books. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=120218 |
| work_keys_str_mv | AT mumforddavid indraspearlsthevisionoffelixklein AT seriescaroline indraspearlsthevisionoffelixklein AT wrightdavidjames indraspearlsthevisionoffelixklein AT gonicklarry indraspearlsthevisionoffelixklein |