Book 2004

Pi: A Source Book


ISBN: 978-1-4419-1915-1 (Print) 978-1-4757-4217-6 (Online)

Table of contents (70 chapters)

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  1. Front Matter

    Pages i-xix

  2. Chapter

    Pages 1-2

    Extract from the Rhind Papyrus

  3. Chapter

    Pages 3-6

    Quadrature of the Circle in Ancient Egypt

  4. Chapter

    Pages 7-14

    Measurement of a Circle

  5. Chapter

    Pages 15-19

    Archimedes the Numerical Analyst

  6. Chapter

    Pages 20-35

    Circle Measurements in Ancient China

  7. Chapter

    Pages 36-44

    [V.] The Ratio of the Diameter of any Circle to its Circumference is One [That is, is The Same for All Circles].

  8. Chapter

    Pages 45-50


  9. Chapter

    Pages 51-52

    Correspondence. Ludolph (or Ludolff or Lucius) van Ceulen

  10. Chapter

    Pages 53-67

    Capvt XVIII

  11. Chapter

    Pages 68-77

    Wallis. Computation of π by Successive Interpolations

  12. Chapter

    Pages 78-80

    Wallis. Arithmetica Infinitorum

  13. Chapter

    Pages 81-86

    Huygens. De Circuli Magnitudine Inventa (1654)

  14. Chapter

    Pages 87-91

    Gregory. Correspondence with John Collins (1671)

  15. Chapter

    Pages 92-107

    The Discovery of the Series Formula for π by Leibniz, Gregory and Nilakantha

  16. Chapter

    Pages 108-109

    The First Use of π for the Circle Ratio

  17. Chapter

    Pages 110-111

    Newton. Of the Method of Fluxions and Infinite Series (1737)

  18. Chapter

    Pages 112-128

    On the Use of the Discovered Factors to Sum Infinite Series

  19. Chapter

    Pages 129-140

    Mémoire sur Quelques Propriétés Remarquables des Quantités Transcendentes Circulaires et Logarithmiques

  20. Chapter

    Pages 141-146

    Lambert. Irrationality of π

  21. Chapter

    Pages 147-161

    Contributions to Mathematics Comprising Chiefly the Rectification of the Circle to 607 Places of Decimals

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