A guide to elementary number theory [electronic resource] / Underwood Dudley.
Dudley, Underwood.; Mathematical Association of America.
2009
QA241 .D793 2009eb
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Title A guide to elementary number theory [electronic resource] / Underwood Dudley.
Author Dudley, Underwood.
ISBN 0883853477
9780883853474
9780883859186 (e-book)
Publication Details [Washington, D.C.] : Mathematical Association of America, c2009.
Language English
Description x, 141 p. : ill.
Call Number QA241 .D793 2009eb
Dewey Decimal Classification 512.7/2
Summary "A Guide to Elementary Number Theory is a 140-page exposition of the topics considered in a first course in number theory. It is intended for those who may have seen the material before but have half-forgotten it, and also for those who may have misspent their youth by not having a course in number theory and who want to see what it is about without having to wade through traditional texts, some of which approach 500 pages in length. It will be especially useful to graduate students preparing for qualifying exams. Though Plato did not quite say, "He is unworthy of the name of man who does not know which integers are the sums of two squares," he came close. This guide can make everyone more worthy"--P. [4] of cover.
Note Includes index.
Access Note Access limited to authorized users.
Added Corporate Author Mathematical Association of America.
Series Dolciani mathematical expositions ; no. 41
MAA guides ; no. 5
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Greatest common divisors
Unique factorization
Linear Diophantine equations
Congruences
Linear congruences
The Chinese remainder theorem
Fermat's theorem
Wilson's theorem
The number of divisors of an integer
The sum of the divisors of an integer
Amicable numbers
Perfect numbers
Euler's theorem and function
Primitive roots and orders
Decimals
Quadratic congruences
Gauss's lemma
The quadratic reciprocity theorem
The Jacobi symbol
Pythagorean triangles
x⁴ + y⁴ [not equal] z⁴
Sums of two squares
Sums of three squares
Sums of four squares
Waring's problem
Pell's equation
Continued fractions
Multigrades
Carmichael numbers
Sophie Germain primes
The group of multiplicative functions
Bounds for [pi](x)
The sum of the reciprocals of the primes
The Riemann hypothesis
The prime number theorem
The abc conjecture
Factorization and testing for primes
Algebraic and transcendental numbers
Unsolved problems.

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