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Pascal's Arithmetical Triangle—
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The Story
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.
Reprint of the Johns Hopkins University Press, Baltimore, Maryland, 2002 edition.
Bernoulli number; Binomial coefficient; Binomial theorem; Combinatorial number; Figurate number; Interpolation; Mathematical induction; History of Mathematics; Fermat; Multiplicative rule; Huygens; Mersenne; NewtonDescription
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.
Reprint of the Johns Hopkins University Press, Baltimore, Maryland, 2002 edition.
Bernoulli number; Binomial coefficient; Binomial theorem; Combinatorial number; Figurate number; Interpolation; Mathematical induction; History of Mathematics; Fermat; Multiplicative rule; Huygens; Mersenne; Newton
