Pascal's Arithmetical Triangle; The Story of a Mathematical Idea

Edwards, A. W. F.

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Langue : anglais

Edité par The Johns Hopkins University Press, 2002

0801869463 / 9780801869464

Série : Livre 292 sur 303 - Dover Books on Mathematics

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A propos de cet article

Johns Hopkins Paperback; Imagine having some marbles, pebbles, or other objects that you want to lay out in a neat triangular pattern. How many do you need to end up with a complete triangle? Three will do; so will 6, 10, 15, and . . . These numbers are called triangular numbers. Ask the same question for a triangular pyramid. Four will do; so will 10, 20, 35, and . . . the so-called pyramidal numbers. This book looks at the discovery of the multiplicity of properties and uses triangular numbers and their many extensions possess. Although often displayed in a triangular array named after the seventeenth-century French philosopher Blaise Pascal, triangular numbers were known many centuries earlier. In this book A.W.F. Edwards traces the Arithmetical Triangle back to its roots in Pythagorean arithmetic, Hindu combinatorics, and Arabic algebra, and gives an account of the progressive solution of combinatorial problems from the earliest recorded examples to the work of Renaissance and later mathematicians. He shows how Pascal's work—so modern in style—in establishing the properties of the numbers and their application in various fields led to Newton's discovery of the binomial theorem for fractional and negative indices and to Leibniz's discovery of calculus.…

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Titre
Pascal's Arithmetical Triangle; The Story of a Mathematical Idea
Auteur
Edwards, A. W. F.
Éditeur
The Johns Hopkins University Press
Année de publication
2002
État de l'article
New
Reliure
Paperback
Langue
anglais
ISBN à 10 chiffres
0801869463
ISBN à 13 chiffres
9780801869464
Édition
2ème Édition
Série
Livre 292 sur 303: Dover Books on Mathematics

BWS BKS

Ferndale, NY, Etats-Unis

Vendeur avec une évaluation de 2 étoiles

Vendeur AbeBooks depuis 4 juin 2026

Frais d'expédition à l'intérieur de ce pays : Etats-Unis

Article5 à 14 jours ouvrés3 à 6 jours ouvrés
Premier articleEUR 2,67EUR 4,90
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