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

A. W. F. Edwards

ISBN 10: 0801869463 / ISBN 13: 9780801869464

Edité par Johns Hopkins University Press, 2002

May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less. N° de réf. du vendeur G0801869463I4N00

Synopsis :

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.

À propos de l?auteur: A.W.F. Edwards is a professor of biometry at the University of Cambridge and a fellow of Gonville and Caius College, University of Cambridge, England. He is the coauthor of Annotated Readings in the History of Statistics and author of Foundations of Mathematical Genetics and Likelihood, the last is available from Johns Hopkins.

Détails bibliographiques

Titre : Pascal's Arithmetical Triangle: The Story of...
Éditeur : Johns Hopkins University Press
Date d'édition : 2002
Reliure : Paperback
Etat : Very Good
Etat de la jaquette : No Jacket
Edition : 2ème Édition