An Adventurer's Guide to Number Theory (Dover Books on Mathematics) (Paperback)

An Adventurer's Guide to Number Theory (Dover Books on Mathematics) By Richard Friedberg Cover Image

An Adventurer's Guide to Number Theory (Dover Books on Mathematics) (Paperback)


Currently out of stock. Email for more information.

In this delightful guide, a noted mathematician and teacher offers a witty, historically oriented introduction to number theory, dealing with properties of numbers and with numbers as abstract concepts. Written for readers with an understanding of arithmetic and beginning algebra, the book presents the classical discoveries of number theory, including the work of Pythagoras, Euclid, Diophantus, Fermat, Euler, Lagrange and Gauss.
Unlike many authors, however, Mr. Friedberg encourages students to think about the imaginative, playful qualities of numbers as they consider such subjects as primes and divisibility, quadratic forms and residue arithmetic and quadratic reciprocity and related theorems. Moreover, the author has included a number of unusual features to challenge and stimulate students: some of the original problems in Diophantus' Arithmetica, proofs of Fermat's Last Theorem for the exponents 3and 4, and two proofs of Wilson's Theorem.
Readers with a mathematical bent will enjoy and benefit from these entertaining and thought-provoking adventures in the fascinating realm of number theory. Mr. Friedberg is currently Professor of Physics at Barnard College, where he is Chairman of the Department of Physics and Astronomy.

Product Details ISBN: 9780486281339
ISBN-10: 0486281337
Publisher: Dover Publications
Publication Date: January 9th, 1995
Pages: 240
Language: English
Series: Dover Books on Mathematics