Diophant Approx

by J. W. S. Cassels

Overview

This tract sets out to give some idea of the basic techniques and of some of the most striking results of Diophantine approximation. A selection of theorems with complete proofs are presented, and Cassels also provides a precise introduction to each chapter, and appendices detailing what is needed from the geometry of numbers and linear algebra. Some chapters require knowledge of elements of Lebesgue theory and algebraic number theory. This is a valuable and concise text aimed at the final-year undergraduate and first-year graduate student.

Product Details

ISBN-13:	9780521045872
Publisher:	Cambridge University Press
Publication date:	01/02/1957
Series:	Tracts in Mathematics
Edition description:	Reissue
Pages:	180
Product dimensions:	5.51(w) x 8.50(h) x 0.39(d)

Table of Contents

1. Homogeneous Approximation; 2. The Markoff Chain; 3. Inhomogeneous Approximation; 4. Uniform Distribution; 5. Transference Theorems; 6. Rational Approximation to Algebraic Numbers. Roth's Theorem; 7. Metrical Theory; 8. The Pisot-Vijayaraghavan Numbers.