Research Catalog

Title

Pascal's arithmetical triangle / A.W.F. Edwards.

Author

Edwards, A. W. F. (Anthony William Fairbank), 1935-

Publication

London : C. Griffin ; New York : Oxford University Press, 1987.

Items in the Library & Off-site

Details

Description

xii, 174 pages : illustrations; 24 cm

Summary

A history of Pascal's Arithmetical Triangle, tracing its roots in Pythagorean arithmetic, Hindu combinatorics and Arabic algebra, and giving an account of the progressive solution of combinatorial problems from the earliest recorded examples through the Renaissance and later mathematicians. The author shows how Pascal's work in establishing the peroperties of the numbers and their application in various fields let to Newton's discovery of the binomial theorem for fractional and negative indices and to Leibniz's discovery of calculus.

Subject

• Pascal's triangle
• Pascal's triangle
• Pascal-Zahlendreieck
• Driehoek van Pascal
• Triangle > Arithmétique

Genre/Form

History

Note

• Includes index.

Bibliography (note)

• Bibliography: p. 162-168.

Contents

The figurate numbers -- Three combinatorial rules -- The combinatorial numbers in India -- The combinatorial numbers in the West -- The binomial numbers -- Pascal's Treatise on the Arithmetical Triangle, part I -- Pascal's Treatise, part II, and associated tracts -- The Arithmetical Triangle in analysis -- The binomial and multinomial distributions -- Bernoulli's Ars conjectandi -- Appendix I. Pascal and the problem of points -- Appendix II. Pascal's problem : the "gambler's ruin."

ISBN

• 0852642830
• 9780852642832
• 0195205464
• 9780195205466

LCCN

86019264

OCLC

• ocm14130622
• 14130622
• SCSB-1161537

Owning Institutions

Princeton University Library