CONTINUED FRACTIONS

In this elementary-level text eminent Soviet mathematician A. Ya. Khinchin offers a superb introduction to the positive-integral elements of the theory of continued functions a special algorithm that is one of the most important tools in analysis probability theory mechanics and especially number theory.Presented in a clear straightforward manner the book comprises three major chapters: the properties of the apparatus the representation of numbers by continued fractions and the measure theory of continued fractions. The last chapter is somewhat more advanced and deals with the metric or probability theory of continued fractions an important field developed almost entirely by Soviet mathematicians including Khinchin.The present volume reprints an English translation of the third Russian edition published in 1961. It is not only an excellent introduction to the study of continued fractions but a stimulating consideration of the profound and interesting problems of the measure theory of numbers.