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Pascal’s Arithmetical Triangle
ISBN-13:
9780486840765
Veröffentl:
2019
Seiten:
224
Autor:
A. W. F. Edwards
Serie:
Dover Books on Mathematics
eBook Typ:
EPUB
eBook Format:
EPUB
Kopierschutz:
2 - DRM Adobe
Sprache:
Englisch
Beschreibung:
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.
Contents Preface to the Johns Hopkins edition Preface to the original edition 1. The figurate numbers 2. Three combinatorial rule. 3. The combinatorial numbers in India 4. The combinatorial numbers in the West 5. The binomial numbers 6. Pascal's Treatise on the Arithmetical Triangle, Part 1 7. Pascal's Treatise, Part II, and associated tracts 8. The arithmetical triangle in analysis 9. The binomial and multinomial distributions 10. Bernoulli's ars conjectandi Epilogue Appendix I. Pascal and the Problem of Points Appendix II. Pascal's Problem: The: "Gambler's Ruin" Appendix III: Commentary on the Ars conjectandi Appendix IV: Table of binomial coefficients References General index Index of names
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