Emphasizes the biographical and historical aspects of number theory. The book incorporates current discoveries and discusses unsolved mysteries in number theory. The problem sets range in difficulty from the mechanical to the theoretical.
Elementary Number Theory Summary
Elementary Number Theory by David M. Burton
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Table of Contents
Some preliminary considerations; divisibility theory in the integers; primes and their distribution; the theory of congruences; Fermat's theorem; number-theoretic functions; Euler's generalization of Fermat's theorem; primitive roots and indices; the quadratic reciprocity law; perfect numbers; the Fermat conjecture; representation of integers as sums of squares; Fibonacci numbers; continued fractions; some 20th-century developments; appendices.
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