Pathway into Number Theory

Name: Pathway into Number Theory
Price: 62.28 USD
Availability: InStock
ISBN: 9780521575409

ISBN-10: 0521575400

ISBN-13: 9780521575409

Edition: 2nd 1996 (Revised)

Authors: R. P. Burn

List price: $86.99

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Description:

Number theory is concerned with the properties of the natural numbers: 1,2,3,.... During the seventeenth and eighteenth centuries, number theory became established through the work of Fermat, Euler and Gauss. With the hand calculators and computers of today, the results of extensive numerical work are instantly available and mathematicians may traverse the road leading to their discoveries with comparative ease. Now in its second edition, this book consists of a sequence of exercises that will lead readers from quite simple number work to the point where they can prove algebraically the classical results of elementary number theory for themselves. A modern high school course in mathematics…

Book details

List price: $86.99
Edition: 2nd
Copyright year: 1996
Publisher: Cambridge University Press
Publication date: 11/28/1996
Binding: Paperback
Pages: 280
Size: 5.98" wide x 9.02" long x 0.59" tall
Weight: 0.880
Language: English

R. P. Burn is an Honorary University Fellow at the University of Exeter. His other titles include Groups: A Path to Geometry (1985) and A Pathway into Number Theory (1982).



Preface to the second edition


Introduction



The fundamental theorem of arithmetic



Modular addition and Euler's Phi function



Modular multiplication



Quadratic residues



The equation xn+yn=zn, for n=2, 3, 4



Sums of squares



Partitions



Quadratic forms



Geometry of numbers



Continued fractions



Approximation of irrationals by rationals


bibliography


Index