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

Edwards, A. W. F.

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Sprache: Englisch

Verlag: The Johns Hopkins University Press, 2002

0801869463 / 9780801869464

Serie: Buch 292 von 303 - Dover Books on Mathematics

Anbieter: BWS BKS, Ferndale, NY, USABWS BKS

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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.…

Bestandsnummer des Verkäufers 79975

Titel
Pascal's Arithmetical Triangle; The Story of a Mathematical Idea
Autor
Edwards, A. W. F.
Verlag
The Johns Hopkins University Press
Erscheinungsjahr
2002
Zustand
New
Einband
Paperback
Sprache
Englisch
ISBN-10
0801869463
ISBN-13
9780801869464
Auflage
2. Auflage
Serie
Buch 292 von 303: Dover Books on Mathematics

BWS BKS

Ferndale, NY, USA

Verkäufer/-in mit 2 Sternen

Verkäufer:in bei AbeBooks seit 4. Juni 2026

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