Heavenly Mathematics : : The Forgotten Art of Spherical Trigonometry / / Glen Van Brummelen.
Heavenly Mathematics traces the rich history of spherical trigonometry, revealing how the cultures of classical Greece, medieval Islam, and the modern West used this forgotten art to chart the heavens and the Earth. Once at the heart of astronomy and ocean-going navigation for two millennia, the dis...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2012] ©2012 |
| Year of Publication: | 2012 |
| Edition: | Course Book |
| Language: | English |
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| Physical Description: | 1 online resource (208 p.) :; 11 color plates. 30 halftones. 93 line illus. 1 table. |
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Van Brummelen, Glen, author. aut http://id.loc.gov/vocabulary/relators/aut Heavenly Mathematics : The Forgotten Art of Spherical Trigonometry / Glen Van Brummelen. Course Book Princeton, NJ : Princeton University Press, [2012] ©2012 1 online resource (208 p.) : 11 color plates. 30 halftones. 93 line illus. 1 table. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Contents -- Preface -- 1. Heavenly Mathematics -- 2. Exploring the Sphere -- 3. The Ancient Approach -- 4. The Medieval Approach -- 5. The Modern Approach: Right- Angled Triangles -- 6. The Modern Approach: Oblique Triangles -- 7. Areas, Angles, and Polyhedra -- 8. Stereographic Projection -- 9. Navigating by the Stars -- Appendix A. Ptolemy's Determination of the Sun's Position -- Appendix B. Textbooks -- Appendix C. Further Reading -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Heavenly Mathematics traces the rich history of spherical trigonometry, revealing how the cultures of classical Greece, medieval Islam, and the modern West used this forgotten art to chart the heavens and the Earth. Once at the heart of astronomy and ocean-going navigation for two millennia, the discipline was also a mainstay of mathematics education for centuries and taught widely until the 1950s. Glen Van Brummelen explores this exquisite branch of mathematics and its role in ancient astronomy, geography, and cartography; Islamic religious rituals; celestial navigation; polyhedra; stereographic projection; and more. He conveys the sheer beauty of spherical trigonometry, providing readers with a new appreciation of its elegant proofs and often surprising conclusions. Heavenly Mathematics is illustrated throughout with stunning historical images and informative drawings and diagrams. This unique compendium also features easy-to-use appendixes as well as exercises that originally appeared in textbooks from the eighteenth to the early twentieth centuries. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) MATHEMATICS Geometry General. MATHEMATICS Trigonometry. Spherical trigonometry. Trigonometry. MATHEMATICS / History & Philosophy. bisacsh Abū 'l-Wafā. Abū Mahmūd al-Khujandī. Abū Nasr Mansūr ibn 'Alī ibn 'Irāq. Abū Sahl al-Kūhī. Albert Girard. B. M. Brown. Cesàro method. Christopher Columbus. Claudius Ptolemy. Earth. Elements. Georg Rheticus. Giuseppe Cesàro. Hipparchus of Rhodes. Islam. Islamic religious rituals. John Harrison. John Napier. Law of Cosines. Law of Sines. Leonhard Euler. Mathematical Collection. Mecca. Menelaus of Alexandria. Menelaus's Theorem. Moon. Napier's Rules. Opus palatinum. Planisphere. Ptolemy. Pythagorean Theorem. Rule of Four Quantities. Sphaerica. Sun. acute-angled triangle. angle. area. astrolabe. astronomical triangle. astronomy. cartography. celestial motion. celestial sphere. chronometer. classical Greece. dead reckoning. ecliptic. equatorial coordinates. geography. locality principle. logarithms. marteloio. mathematics. method of Saint Hilaire. navigation. oblique triangle. pentagramma mirificum. planar Law of Sines. plane trigonometry. planets. polygon. polyhedron. qibla. regular polyhedron. right-angled triangle. rising time. sphere. spherical Law of Sines. spherical astronomy. spherical geometry. spherical triangle. spherical trigonometry. star. stars. stereographic projection. table of sine. theorems. triangle. trigonometric table. trigonometry. Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 9783110442502 print 9780691148922 https://doi.org/10.1515/9781400844807?locatt=mode:legacy https://www.degruyter.com/isbn/9781400844807 Cover https://www.degruyter.com/cover/covers/9781400844807.jpg |
| language |
English |
| format |
eBook |
| author |
Van Brummelen, Glen, Van Brummelen, Glen, |
| spellingShingle |
Van Brummelen, Glen, Van Brummelen, Glen, Heavenly Mathematics : The Forgotten Art of Spherical Trigonometry / Frontmatter -- Contents -- Preface -- 1. Heavenly Mathematics -- 2. Exploring the Sphere -- 3. The Ancient Approach -- 4. The Medieval Approach -- 5. The Modern Approach: Right- Angled Triangles -- 6. The Modern Approach: Oblique Triangles -- 7. Areas, Angles, and Polyhedra -- 8. Stereographic Projection -- 9. Navigating by the Stars -- Appendix A. Ptolemy's Determination of the Sun's Position -- Appendix B. Textbooks -- Appendix C. Further Reading -- Index |
| author_facet |
Van Brummelen, Glen, Van Brummelen, Glen, |
| author_variant |
b g v bg bgv b g v bg bgv |
| author_role |
VerfasserIn VerfasserIn |
| author_sort |
Van Brummelen, Glen, |
| title |
Heavenly Mathematics : The Forgotten Art of Spherical Trigonometry / |
| title_sub |
The Forgotten Art of Spherical Trigonometry / |
| title_full |
Heavenly Mathematics : The Forgotten Art of Spherical Trigonometry / Glen Van Brummelen. |
| title_fullStr |
Heavenly Mathematics : The Forgotten Art of Spherical Trigonometry / Glen Van Brummelen. |
| title_full_unstemmed |
Heavenly Mathematics : The Forgotten Art of Spherical Trigonometry / Glen Van Brummelen. |
| title_auth |
Heavenly Mathematics : The Forgotten Art of Spherical Trigonometry / |
| title_alt |
Frontmatter -- Contents -- Preface -- 1. Heavenly Mathematics -- 2. Exploring the Sphere -- 3. The Ancient Approach -- 4. The Medieval Approach -- 5. The Modern Approach: Right- Angled Triangles -- 6. The Modern Approach: Oblique Triangles -- 7. Areas, Angles, and Polyhedra -- 8. Stereographic Projection -- 9. Navigating by the Stars -- Appendix A. Ptolemy's Determination of the Sun's Position -- Appendix B. Textbooks -- Appendix C. Further Reading -- Index |
| title_new |
Heavenly Mathematics : |
| title_sort |
heavenly mathematics : the forgotten art of spherical trigonometry / |
| publisher |
Princeton University Press, |
| publishDate |
2012 |
| physical |
1 online resource (208 p.) : 11 color plates. 30 halftones. 93 line illus. 1 table. Issued also in print. |
| edition |
Course Book |
| contents |
Frontmatter -- Contents -- Preface -- 1. Heavenly Mathematics -- 2. Exploring the Sphere -- 3. The Ancient Approach -- 4. The Medieval Approach -- 5. The Modern Approach: Right- Angled Triangles -- 6. The Modern Approach: Oblique Triangles -- 7. Areas, Angles, and Polyhedra -- 8. Stereographic Projection -- 9. Navigating by the Stars -- Appendix A. Ptolemy's Determination of the Sun's Position -- Appendix B. Textbooks -- Appendix C. Further Reading -- Index |
| isbn |
9781400844807 9783110442502 9780691148922 |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA535 |
| callnumber-sort |
QA 3535 V36 42018 |
| genre_facet |
Geometry General. Trigonometry. |
| url |
https://doi.org/10.1515/9781400844807?locatt=mode:legacy https://www.degruyter.com/isbn/9781400844807 https://www.degruyter.com/cover/covers/9781400844807.jpg |
| illustrated |
Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
516 - Geometry |
| dewey-full |
516.24 |
| dewey-sort |
3516.24 |
| dewey-raw |
516.24 |
| dewey-search |
516.24 |
| doi_str_mv |
10.1515/9781400844807?locatt=mode:legacy |
| oclc_num |
979726743 |
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Heavenly Mathematics : The Forgotten Art of Spherical Trigonometry / |
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Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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