Ebook: Continued Fractions

Front Cover; Continued Fractions; Copyright Page; Contents; Preface; Chapter 1. Expansion of Rational Fractions; 1.1 Introduction; 1.2 Definitions and Notation; 1.3 Expansion of Rational Fractions; 1.4 Expansion of Rational Fractions (General Discussion); 1.5 Convergents and Their Properties; 1.6 Differences of Convergents; 1.7 Some Historical Comments; Chapter 2. Diophantine Equations; 2.1 Introduction; 2.2 The Method Used Extensively by Euler; 2.3 The Indeterminate Equation ax -- by = 1; 2.4 The General Solution of ax -- by = c, (a, b) = 1; 2.5 The General Solution of ax + by = c, (a, b) = 1.