Beispielbild für diese ISBN
Titel: Pascal's Arithmetical Triangle: The Story of...
Verlag: Johns Hopkins University Press
Einband: Soft cover
Brand New, Unread Copy in Perfect Condition. A+ Customer Service!. Buchnummer des Verkäufers ABE_book_new_0801869463
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.
Vom Verlag: "An impressive culmination of meticulous research into original sources, this definitive study constitutes the first full-length history of the Arithmetic Triangle."—Mathematics of Computation
"A fascinating book . . . giving new insights into the early history of probability theory and combinatorics, and incidentally providing much stimulating material for teachers of mathematics."—G.A. Barnard, International Statistical Institute Review
"Scrupulously researched . . . Carries the reader along in a rewarding manner. It is a scientific who-dun-it, and one must admire the author for the scholarly yet unpedantic manner in which he disperses some of the mists of antiquity."—A.W. Kemp, Biometrics
"Recommended not only to historians and mathematicians, but also to students seeking to put some life into the dry treatment of these topics to which they have doubtless been subjected."—Ivor Grattan-Guinness, Annals of Science
Dieser Anbieter akzeptiert die folgenden Zahlungsarten:
AbeBooks Verkäufer seit: 7. Mai 2014
We guarantee the condition of every book as it's described on the AbeBooks web
sites. If you're dissatisfied with your purchase (Incorrect Book/Not as
Described/Damaged) or if the order hasn't arrived, you're eligible for a refund
within 30 days of the estimated delivery date. If you've changed your mind
about a book that you've ordered, please use the Ask bookseller a question link
to contact us and we'll respond within 2 business days.
Shipping costs are based on books weighing 2.2 LB, or 1 KG. If your book order is heavy or oversized, we may contact you to let you know extra shipping is required.