Introduction to Number Theory

A basic presentation of the elements of number theory, which stresses the information concerning prime numbers and Diophantine equations, especially quadratic equations in two variables. Topics include unique factorization, the Kronecker symbol, distribution of primes and continued fractions.

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On historical and mathematical ground alike, number theory has earned a place in the curriculum of every mathematics student. This clear presentation covers the elements of number theory, with stress on the basic topics concerning prime numbers and Diophantine equations (especially quadratic equations in two variables). Topics covered include distribution of primes, unique factorization, reduction of positive definite quadratic forms, the Kronecker symbol, continued fractions, and "what Gauss did".