Trigonometric Delights
eBook - PDF

Trigonometric Delights

  1. 255 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Trigonometric Delights

About this book

A fun, entertaining exploration of the ideas and people behind the growth of trigonometry

Trigonometry 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.

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Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Contents
  5. Preface
  6. Prologue: Ahmes the Scribe, 1650 B.C.
  7. Recreational Mathematics in Ancient Egypt
  8. 1. Angles
  9. 2. Chords
  10. Plimpton 322: The Earliest Trigonometric Table?
  11. 3. Six Functions Come of Age
  12. Johann Müller, alias Regiomontanus
  13. 4. Trigonometry Becomes Analytic
  14. François Viète
  15. 5. Measuring Heaven and Earth
  16. Abraham De Moivre
  17. 6. Two Theorems from Geometry
  18. 7. Epicycloids and Hypocycloids
  19. Maria Agnesi and Her "Witch"
  20. 8. Variations on a Theme by Gauss
  21. 9. Had Zeno Only Known This!
  22. 10. (sin x)/x
  23. 11. A Remarkable Formula
  24. Jules Lissajous and His Figures
  25. 12. tan x
  26. 13. A Mapmaker's Paradise
  27. 14. sin x = 2: Imaginary Trigonometry
  28. Edmund Landau: The Master Rigorist
  29. 15. Fourier's Theorem
  30. Appendixes
  31. Bibliography
  32. Credits for Illustrations
  33. Index

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Yes, you can access Trigonometric Delights by Eli Maor in PDF and/or ePUB format, as well as other popular books in Mathematics & History & Philosophy of Mathematics. We have over one million books available in our catalogue for you to explore.