Pascal's Arithmetical Triangle
eBook - ePub

Pascal's Arithmetical Triangle

The Story of a Mathematical Idea

  1. 224 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Pascal's Arithmetical Triangle

The Story of a Mathematical Idea

About this book

This survey explores the history of the arithmetical triangle, from its roots in Pythagorean arithmetic, Hindu combinatorics, and Arabic algebra to its influence on Newton and Leibniz as well as modern-day mathematicians.

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Yes, you can access Pascal's Arithmetical Triangle by A.W.F. Edwards 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.

Table of contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Dedication
  5. Contents
  6. Note
  7. Preface to the Johns Hopkins edition
  8. Preface to the original edition
  9. 1. The figurate numbers
  10. 2. Three combinatorial rules
  11. 3. The combinatorial numbers in India
  12. 4. The combinatorial numbers in the West
  13. 5. The binomial numbers
  14. 6. Pascal's Treatise on the Arithmetical Triangle, Part I
  15. 7. Pascal's Treatise, Part II, and associated tracts
  16. 8. The Arithmetical Triangle in analysis
  17. 9. The binomial and multinomial distributions
  18. 10. Bernoulli's Ars conjectandi
  19. Epilogue
  20. Appendix I: Pascal and the Problem of Points
  21. Appendix II: Pascal's Problem: The "Gambler's Ruin"
  22. Appendix III: Commentary on Ars conjectandi
  23. Appendix IV: Table of binomial coefficients
  24. References
  25. General index
  26. Index of names