Cassels J.W.S. An Introduction to Diophantine Approximation

Cambridge University Press, Macmillan, 1957. — 166 p. — (Cambridge tracts in mathematics and mathematical physics, volume 45).This issue 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. This is a valuable and concise text aimed at the final-year undergraduate and first-year graduate student.