This undergraduate textbook describes the computational aspects of number theory, such as techniques of factoring. Problems of varying difficulty are used throughout the text to aid comprehension.

This self-contained treatment originated as a series of lectures delivered to the Mathematical Association of America. It covers basic results on homogeneous approximation of real numbers; the analogue for complex numbers; basic results for nonhomogeneous approximation in the real case; the analogue for complex numbers; and fundamental properties of the multiples of an irrational number, for both the fractional and integral parts.
The author refrains from the use of continuous fractions and includes basic results in the complex case, a feature often neglected in favor of the real number...