Trigonometric Delights / / Eli Maor, Eli Maor.
A fun, entertaining exploration of the ideas and people behind the growth of trigonometryTrigonometry has a reputation as a dry, difficult branch of mathematics, a glorified form of geometry complicated by tedious computation. In Trigonometric Delights, Eli Maor dispels this view. Rejecting the usua...
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2020] ©2013 |
Year of Publication: | 2020 |
Language: | English |
Series: | Princeton Science Library ;
68 |
Online Access: | |
Physical Description: | 1 online resource (256 p.) :; 107 b/w illus. |
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Other title: | Frontmatter -- Contents -- Preface -- PROLOGUE. Ahmes the Scribe, 1650 B.C. -- Recreational Mathematics in Ancient Egypt -- 1. Angles -- 2. Chords -- Plimpton 322: The Earliest Trigonometric Table? -- 3. Six Functions Come of Age -- Johann Müller, alias Reginunutanus -- 4. Trigonometry Becomes Analytic -- Franςois Viete -- 5. Measuring Heaven and Earth -- Abraham De Moivre -- 6. Two Theorems from Geometry -- 7. Epicycloids and Hypocycloids -- Maria Agnesi and Her "Witch" -- 8. Variations on a Theme by Gauss -- 9. Had Zeno Only Known This! -- 10. (sinx)/x -- 11. A Remarkable Formula -- Jules Lissajous and His Figures -- 12. tanx -- 13. A Mapmaker's Paradise -- 14. sin x = 2: Imaginary Trigonometry -- Edmund Landau: The Master Rigorist -- 15. Fourier's Theorem -- Appendixes -- Bibliography -- Credits for Illustrations -- Index |
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Summary: | A fun, entertaining exploration of the ideas and people behind the growth of trigonometryTrigonometry has a reputation as a dry, difficult branch of mathematics, a glorified form of geometry complicated by tedious computation. In Trigonometric Delights, Eli Maor dispels this view. Rejecting the usual descriptions of sine, cosine, and their trigonometric relatives, he brings the subject to life in a compelling blend of history, biography, and mathematics. From the proto-trigonometry of the Egyptian pyramid builders and the first true trigonometry developed by Greek astronomers, to the epicycles and hypocycles of the toy Spirograph, Maor presents both a survey of the main elements of trigonometry and a unique account of its vital contribution to science and social growth. A tapestry of stories, curiosities, insights, and illustrations, Trigonometric Delights irrevocably changes how we see this essential mathematical discipline. |
Format: | Mode of access: Internet via World Wide Web. |
ISBN: | 9780691202204 |
DOI: | 10.1515/9780691202204?locatt=mode:legacy |
Access: | restricted access |
Hierarchical level: | Monograph |
Statement of Responsibility: | Eli Maor, Eli Maor. |