Beyond measure :: a guided tour through nature, myth, and number /
This book consists of essays that stand on their own but are also loosely connected. Part I documents how numbers and geometry arise in several cultural contexts and in nature: the ancient musical scale, proportion in architecture, ancient geometry, megalithic stone circles, the hidden pavements of...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
River Edge, NJ :
World Scientific,
©2002.
|
| Schriftenreihe: | K & E series on knots and everything ;
v. 28. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book consists of essays that stand on their own but are also loosely connected. Part I documents how numbers and geometry arise in several cultural contexts and in nature: the ancient musical scale, proportion in architecture, ancient geometry, megalithic stone circles, the hidden pavements of the Laurentian library, the shapes of the Hebrew letters, and the shapes of biological forms. The focus is on how certain numbers, such as the golden and silver means, present themselves within these systems. Part II shows how many of the same numbers and number sequences are related to the modern mathematical study of numbers, dynamical systems, chaos, and fractals. |
| Beschreibung: | 1 online resource (xxx, 582 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 565-576) and index. |
| ISBN: | 9789812778444 9812778446 9789810247010 981024701X 9789810247027 9810247028 |
Internformat
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| 505 | 0 | 0 | |g Machine generated contents note: |g pt. I |t Essays in Geometry and Number as They Arise in Nature, Music, Architecture and Design -- |g Ch. 1 |t Spiral in Nature and Myth -- |g Ch. 2 |t Vortex of Life -- |g App. 2.A |t Homogeneous Coordinates -- |g Ch. 3 |t Harmonic Law -- |g App. 3.A.1 |t Logarithms and the Logarithmic Spiral -- |g App. 3.A.2 |t Properties of Logarithms -- |g App. 3.A.3 |t Logarithms and the Musical Scale -- |g App. 3.B |t Pythagorean Comma -- |g App. 3.C |t Vectors -- |g Ch. 4 |t Projective Nature of the Musical Scale -- |g Ch. 5 |t Music of the Spheres -- |g App. 5.A |t Kepler's Ratios -- |g Ch. 6 |t Tangrams and Amish Quilts -- |g App. 6.A.1 |t Steps to creating a triangular grid of circles -- |g App. 6.A.2 |t Steps to creating a square circle grid -- |g Ch. 7 |t Linking Proportions, Architecture, and Music -- |g App. 7.A |t Ancient Babylonian Method for Finding the Square Root of 2 -- |g Ch. 8 |t Secret of Ancient Geometry -- |g App. 8.A |t Harmonic Means -- ^ |
| 520 | |a This book consists of essays that stand on their own but are also loosely connected. Part I documents how numbers and geometry arise in several cultural contexts and in nature: the ancient musical scale, proportion in architecture, ancient geometry, megalithic stone circles, the hidden pavements of the Laurentian library, the shapes of the Hebrew letters, and the shapes of biological forms. The focus is on how certain numbers, such as the golden and silver means, present themselves within these systems. Part II shows how many of the same numbers and number sequences are related to the modern mathematical study of numbers, dynamical systems, chaos, and fractals. | ||
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| author | Kappraff, Jay |
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| contents | Essays in Geometry and Number as They Arise in Nature, Music, Architecture and Design -- Spiral in Nature and Myth -- Vortex of Life -- Homogeneous Coordinates -- Harmonic Law -- Logarithms and the Logarithmic Spiral -- Properties of Logarithms -- Logarithms and the Musical Scale -- Pythagorean Comma -- Vectors -- Projective Nature of the Musical Scale -- Music of the Spheres -- Kepler's Ratios -- Tangrams and Amish Quilts -- Steps to creating a triangular grid of circles -- Steps to creating a square circle grid -- Linking Proportions, Architecture, and Music -- Ancient Babylonian Method for Finding the Square Root of 2 -- Secret of Ancient Geometry -- Harmonic Means -- ^ |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516 |
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| dewey-sort | 3516 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn277199733 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:34Z |
| institution | BVB |
| isbn | 9789812778444 9812778446 9789810247010 981024701X 9789810247027 9810247028 |
| language | English |
| lccn | 2003271506 |
| oclc_num | 277199733 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xxx, 582 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | World Scientific, |
| record_format | marc |
| series | K & E series on knots and everything ; |
| series2 | K & E series on knots and everything ; |
| spelling | Kappraff, Jay. http://id.loc.gov/authorities/names/n89110037 Beyond measure : a guided tour through nature, myth, and number / Jay Kappraff. River Edge, NJ : World Scientific, ©2002. 1 online resource (xxx, 582 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file K & E series on knots and everything ; v. 28 Includes bibliographical references (pages 565-576) and index. Print version record. Machine generated contents note: pt. I Essays in Geometry and Number as They Arise in Nature, Music, Architecture and Design -- Ch. 1 Spiral in Nature and Myth -- Ch. 2 Vortex of Life -- App. 2.A Homogeneous Coordinates -- Ch. 3 Harmonic Law -- App. 3.A.1 Logarithms and the Logarithmic Spiral -- App. 3.A.2 Properties of Logarithms -- App. 3.A.3 Logarithms and the Musical Scale -- App. 3.B Pythagorean Comma -- App. 3.C Vectors -- Ch. 4 Projective Nature of the Musical Scale -- Ch. 5 Music of the Spheres -- App. 5.A Kepler's Ratios -- Ch. 6 Tangrams and Amish Quilts -- App. 6.A.1 Steps to creating a triangular grid of circles -- App. 6.A.2 Steps to creating a square circle grid -- Ch. 7 Linking Proportions, Architecture, and Music -- App. 7.A Ancient Babylonian Method for Finding the Square Root of 2 -- Ch. 8 Secret of Ancient Geometry -- App. 8.A Harmonic Means -- ^ This book consists of essays that stand on their own but are also loosely connected. Part I documents how numbers and geometry arise in several cultural contexts and in nature: the ancient musical scale, proportion in architecture, ancient geometry, megalithic stone circles, the hidden pavements of the Laurentian library, the shapes of the Hebrew letters, and the shapes of biological forms. The focus is on how certain numbers, such as the golden and silver means, present themselves within these systems. Part II shows how many of the same numbers and number sequences are related to the modern mathematical study of numbers, dynamical systems, chaos, and fractals. Geometry. http://id.loc.gov/authorities/subjects/sh85054133 Mathematics. http://id.loc.gov/authorities/subjects/sh85082139 Design. http://id.loc.gov/authorities/subjects/sh85037197 Industrial design. http://id.loc.gov/authorities/subjects/sh85037199 Géométrie. Mathématiques. Design. geometry. aat mathematics. aat applied mathematics. aat design (discipline) aat industrial design. aat MATHEMATICS Geometry General. bisacsh Industrial design fast Design fast Geometry fast Mathematics fast Getallen. gtt Meetkunde. gtt Natuur. gtt Bouwkunst. gtt Muziek. gtt Print version: Kappraff, Jay. Beyond measure. River Edge, NJ : World Scientific, ©2002 (DLC) 2003271506 K & E series on knots and everything ; v. 28. http://id.loc.gov/authorities/names/n91052105 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=210659 Volltext |
| spellingShingle | Kappraff, Jay Beyond measure : a guided tour through nature, myth, and number / K & E series on knots and everything ; Essays in Geometry and Number as They Arise in Nature, Music, Architecture and Design -- Spiral in Nature and Myth -- Vortex of Life -- Homogeneous Coordinates -- Harmonic Law -- Logarithms and the Logarithmic Spiral -- Properties of Logarithms -- Logarithms and the Musical Scale -- Pythagorean Comma -- Vectors -- Projective Nature of the Musical Scale -- Music of the Spheres -- Kepler's Ratios -- Tangrams and Amish Quilts -- Steps to creating a triangular grid of circles -- Steps to creating a square circle grid -- Linking Proportions, Architecture, and Music -- Ancient Babylonian Method for Finding the Square Root of 2 -- Secret of Ancient Geometry -- Harmonic Means -- ^ Geometry. http://id.loc.gov/authorities/subjects/sh85054133 Mathematics. http://id.loc.gov/authorities/subjects/sh85082139 Design. http://id.loc.gov/authorities/subjects/sh85037197 Industrial design. http://id.loc.gov/authorities/subjects/sh85037199 Géométrie. Mathématiques. Design. geometry. aat mathematics. aat applied mathematics. aat design (discipline) aat industrial design. aat MATHEMATICS Geometry General. bisacsh Industrial design fast Design fast Geometry fast Mathematics fast Getallen. gtt Meetkunde. gtt Natuur. gtt Bouwkunst. gtt Muziek. gtt |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85054133 http://id.loc.gov/authorities/subjects/sh85082139 http://id.loc.gov/authorities/subjects/sh85037197 http://id.loc.gov/authorities/subjects/sh85037199 |
| title | Beyond measure : a guided tour through nature, myth, and number / |
| title_alt | Essays in Geometry and Number as They Arise in Nature, Music, Architecture and Design -- Spiral in Nature and Myth -- Vortex of Life -- Homogeneous Coordinates -- Harmonic Law -- Logarithms and the Logarithmic Spiral -- Properties of Logarithms -- Logarithms and the Musical Scale -- Pythagorean Comma -- Vectors -- Projective Nature of the Musical Scale -- Music of the Spheres -- Kepler's Ratios -- Tangrams and Amish Quilts -- Steps to creating a triangular grid of circles -- Steps to creating a square circle grid -- Linking Proportions, Architecture, and Music -- Ancient Babylonian Method for Finding the Square Root of 2 -- Secret of Ancient Geometry -- Harmonic Means -- ^ |
| title_auth | Beyond measure : a guided tour through nature, myth, and number / |
| title_exact_search | Beyond measure : a guided tour through nature, myth, and number / |
| title_full | Beyond measure : a guided tour through nature, myth, and number / Jay Kappraff. |
| title_fullStr | Beyond measure : a guided tour through nature, myth, and number / Jay Kappraff. |
| title_full_unstemmed | Beyond measure : a guided tour through nature, myth, and number / Jay Kappraff. |
| title_short | Beyond measure : |
| title_sort | beyond measure a guided tour through nature myth and number |
| title_sub | a guided tour through nature, myth, and number / |
| topic | Geometry. http://id.loc.gov/authorities/subjects/sh85054133 Mathematics. http://id.loc.gov/authorities/subjects/sh85082139 Design. http://id.loc.gov/authorities/subjects/sh85037197 Industrial design. http://id.loc.gov/authorities/subjects/sh85037199 Géométrie. Mathématiques. Design. geometry. aat mathematics. aat applied mathematics. aat design (discipline) aat industrial design. aat MATHEMATICS Geometry General. bisacsh Industrial design fast Design fast Geometry fast Mathematics fast Getallen. gtt Meetkunde. gtt Natuur. gtt Bouwkunst. gtt Muziek. gtt |
| topic_facet | Geometry. Mathematics. Design. Industrial design. Géométrie. Mathématiques. geometry. mathematics. applied mathematics. design (discipline) industrial design. MATHEMATICS Geometry General. Industrial design Design Geometry Mathematics Getallen. Meetkunde. Natuur. Bouwkunst. Muziek. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=210659 |
| work_keys_str_mv | AT kappraffjay beyondmeasureaguidedtourthroughnaturemythandnumber |