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Pi: A Source Book

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Cover of 'Pi: A Source Book'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Extract from the Rhind Papyrus
  3. Altmetric Badge
    Chapter 2 Quadrature of the Circle in Ancient Egypt
  4. Altmetric Badge
    Chapter 3 Measurement of a Circle
  5. Altmetric Badge
    Chapter 4 Archimedes the Numerical Analyst
  6. Altmetric Badge
    Chapter 5 Circle Measurements in Ancient China
  7. Altmetric Badge
    Chapter 6 [V.] The Ratio of the Diameter of any Circle to its Circumference is One [That is, is The Same for All Circles].
  8. Altmetric Badge
    Chapter 7 Appendix
  9. Altmetric Badge
    Chapter 8 Correspondence. Ludolph (or Ludolff or Lucius) van Ceulen
  10. Altmetric Badge
    Chapter 9 Capvt XVIII
  11. Altmetric Badge
    Chapter 10 Wallis. Computation of π by Successive Interpolations
  12. Altmetric Badge
    Chapter 11 Wallis. Arithmetica Infinitorum
  13. Altmetric Badge
    Chapter 12 Huygens. De Circuli Magnitudine Inventa (1654)
  14. Altmetric Badge
    Chapter 13 Gregory. Correspondence with John Collins (1671)
  15. Altmetric Badge
    Chapter 14 The Discovery of the Series Formula for π by Leibniz, Gregory and Nilakantha
  16. Altmetric Badge
    Chapter 15 The First Use of π for the Circle Ratio
  17. Altmetric Badge
    Chapter 16 Newton. Of the Method of Fluxions and Infinite Series (1737)
  18. Altmetric Badge
    Chapter 17 On the Use of the Discovered Factors to Sum Infinite Series
  19. Altmetric Badge
    Chapter 18 Mémoire sur Quelques Propriétés Remarquables des Quantités Transcendentes Circulaires et Logarithmiques
  20. Altmetric Badge
    Chapter 19 Lambert. Irrationality of π
  21. Altmetric Badge
    Chapter 20 Contributions to Mathematics Comprising Chiefly the Rectification of the Circle to 607 Places of Decimals
  22. Altmetric Badge
    Chapter 21 Sur La Fonction Exponentielle
  23. Altmetric Badge
    Chapter 22 Ueber die Zahl π
  24. Altmetric Badge
    Chapter 23 Zu Lindemann’s Abhandlung: „Über die Ludolph’sche Zahl”
  25. Altmetric Badge
    Chapter 24 Ueber die Transcendenz der Zahlen e und π
  26. Altmetric Badge
    Chapter 25 Quadrature of the Circle
  27. Altmetric Badge
    Chapter 26 House Bill No. 246, Indiana State Legislature, 1897
  28. Altmetric Badge
    Chapter 27 The Legal Values of Pi
  29. Altmetric Badge
    Chapter 28 Squaring the Circle
  30. Altmetric Badge
    Chapter 29 Modular Equations and Approximations to π
  31. Altmetric Badge
    Chapter 30 The Marquis and the Land-Agent; A Tale of the Eighteenth Century
  32. Altmetric Badge
    Chapter 31 The Best (?) Formula for Computing π to a Thousand Places
  33. Altmetric Badge
    Chapter 32 An Algorithm for the Construction of Arctangent Relations
  34. Altmetric Badge
    Chapter 33 A Simple Proof that π is Irrational
  35. Altmetric Badge
    Chapter 34 An ENIAC Determination of π and e to more than 2000 Decimal Places
  36. Altmetric Badge
    Chapter 35 The Chronology of P I
  37. Altmetric Badge
    Chapter 36 On the Approximation of π
  38. Altmetric Badge
    Chapter 37 The evolution of extended decimal approximations to π
  39. Altmetric Badge
    Chapter 38 Calculation of π to 100,000 Decimals
  40. Altmetric Badge
    Chapter 39 On the Computation of Euler’s Constant
  41. Altmetric Badge
    Chapter 40 Approximations to the logarithms of certain rational numbers
  42. Altmetric Badge
    Chapter 41 Asymptotic Diophantine Approximations to E
  43. Altmetric Badge
    Chapter 42 Applications of Some Formulae by Hermite to the Approximation of Exponentials and Logarithms
  44. Altmetric Badge
    Chapter 43 In Mathematical Circles: A Selection of Mathematical Stories and Anecdotes
  45. Altmetric Badge
    Chapter 44 In Mathematical Circles: A Selection of Mathematical Stories and Anecdotes
  46. Altmetric Badge
    Chapter 45 The Lemniscate Constants
  47. Altmetric Badge
    Chapter 46 Computation of π Using Arithmetic-Geometric Mean
  48. Altmetric Badge
    Chapter 47 Fast Multiple-Precision Evaluation of Elementary Functions
  49. Altmetric Badge
    Chapter 48 A Note on the Irrationality of ζ(2) and ζ(3)
  50. Altmetric Badge
    Chapter 49 A Proof that Euler Missed ...
  51. Altmetric Badge
    Chapter 50 Some New Algorithms for High-Precision Computation of Euler’s Constant
  52. Altmetric Badge
    Chapter 51 A Proof that Euler Missed: Evaluating ζ(2) the Easy Way
  53. Altmetric Badge
    Chapter 52 Putting God Back In Math
  54. Altmetric Badge
    Chapter 53 69.30 A remarkable approximation to π
  55. Altmetric Badge
    Chapter 54 On a Sequence Arising in Series for π
  56. Altmetric Badge
    Chapter 55 The Arithmetic-Geometric Mean of Gauss
  57. Altmetric Badge
    Chapter 56 The Arithmetic-Geometric Mean and Fast Computation of Elementary Functions
  58. Altmetric Badge
    Chapter 57 A Simplified Version of the Fast Algorithms of Brent and Salamin
  59. Altmetric Badge
    Chapter 58 Is π Normal?
  60. Altmetric Badge
    Chapter 59 Circle Digits A Self-Referential Story
  61. Altmetric Badge
    Chapter 60 The Computation of π to 29,360,000 Decimal Digits Using Borweins’ Quartically Convergent Algorithm
  62. Altmetric Badge
    Chapter 61 Vectorization of Multiple-Precision Arithmetic Program and 201,326,000 Decimal Digits of π Calculation
  63. Altmetric Badge
    Chapter 62 Ramanujan and Pi
  64. Altmetric Badge
    Chapter 63 Approximations and complex multiplication according to Ramanujan
  65. Altmetric Badge
    Chapter 64 Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi
  66. Altmetric Badge
    Chapter 65 Pi, Euler Numbers, and Asymptotic Expansions
  67. Altmetric Badge
    Chapter 66 An Alternative Proof of the Lindemann-Weierstrass Theorem
  68. Altmetric Badge
    Chapter 67 The Tail of π
  69. Altmetric Badge
    Chapter 68 The Deconstruction of Pi
  70. Altmetric Badge
    Chapter 69 Pi Mnemonics and the Art of Constrained Writing
  71. Altmetric Badge
    Chapter 70 On the Rapid Computation of Various Polylogarithmic Constants
Attention for Chapter 26: House Bill No. 246, Indiana State Legislature, 1897
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Chapter title
House Bill No. 246, Indiana State Legislature, 1897
Chapter number 26
Book title
Pi: A Source Book
Published by
Springer New York, January 2004
DOI 10.1007/978-1-4757-4217-6_26
Book ISBNs
978-1-4419-1915-1, 978-1-4757-4217-6
Authors

Will E. Edington, Edington, Will E.

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 2 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 2 100%

Demographic breakdown

Readers by professional status Count As %
Professor 1 50%
Other 1 50%
Readers by discipline Count As %
Mathematics 1 50%
Biochemistry, Genetics and Molecular Biology 1 50%