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 |
Online Access: | |
Physical Description: | 1 online resource (208 p.) :; 11 color plates. 30 halftones. 93 line illus. 1 table. |
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Other title: | 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 |
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Summary: | 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. |
Format: | Mode of access: Internet via World Wide Web. |
ISBN: | 9781400844807 9783110442502 |
DOI: | 10.1515/9781400844807?locatt=mode:legacy |
Access: | restricted access |
Hierarchical level: | Monograph |
Statement of Responsibility: | Glen Van Brummelen. |