TRIGONOMETRIC
Delights


ELI MAOR

Contents


Preface

Prologue: Ahmes the Scribe, 1650 B.C.

Recreational Mathematics in Ancient Egypt

  1. Angles
  2. Chords

Plimpton 322: The Earliest Trigonometric Table?

  1. Six Functions Come of Age

Johann Müller alias Regiomontanus

  1. Trigonometry Becomes Analytic

François Viète

  1. Measuring Heaven and Earth

Abraham De Moivre

  1. Two Theorems from Geometry
  2. Epicycloids and Hypocycloids

Maria Agnesi and Her "Witch"

  1. Variations on a Theme by Gauss
  2. Had Zeno Only Known This!
  3. (sinx)/x
  4. A Remarkable Formula

Jules Lissajous and His Figures

  1. tanx
  2. A Mapmaker's Paradise
  3. sinx = 2: Imaginary Trigonometry

Edmund Landau: The Master Rigorist

  1. Fourier's Theorem

Appendixes

  1. Let's Revive an Old Idea
  2. Barrow's Integration of sec(phi)
  3. Some Trigonometric Gems
  4. Some Special Values of sina

Bibliography

Credits for Illustrations

Index

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