Diophantine Approximations

Download or read book Diophantine Approximations written by Ivan Morton Niven and published by Courier Corporation. This book was released on 2008-01-01 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 discussion. Each chapter concludes with a bibliographic account of closely related work; these sections also contain the sources from which the proofs are drawn.