目录
 前辅文
 Preface
 1 Introduction
  1.1 Decimal expansions of rational numbers
  1.2 Another look at the decimal expansion
  1.3 Continued fractions
  1.4 For further reading
 2 Variations on a theme (Other expansions)
  2.1 n-ary expansions
  2.2 Lüroth series
  2.3 Generalized Lüroth series
  2.4 β-expansions
 3 Ergodicity
  3.1 The Ergodic Theorem
  3.2 Examples of normal numbers
  3.3 β-transformations
  3.4 Ergodic properties of the β-expansion
  3.5 Ergodic properties of continued fractions Systems obtained from other systems
 4 Systems obtained from other systems
  4.1 GLS-expansion and β-expansion: A first glimpse at their connection
  4.2 Induced and integral transformations
  4.3 Natural extensions
  4.4 Natural extension of the GLS transformation
  4.5 Natural extension of the β-transformation
  4.6 For further reading
 5 Diophantine approximation and continued fractions
  5.1 Introduction
  5.2 The natural extension of the regular continued fraction
  5.3 Approximation coefficients revisited
  5.4 Other continued fractions
  5.5 A skew product related to continued fractions
  5.6 For further reading
 6 Entropy
  6.1 Introduction
  6.2 The Shannon-McMillan-Breiman Theorem and some consequences
  6.3 Saleski's Theorem
  6.4 For further reading
 Bibliography
 Index
 前辅文
 Preface
 1 Introduction
  1.1 Decimal expansions of rational numbers
  1.2 Another look at the decimal expansion
  1.3 Continued fractions
  1.4 For further reading
 2 Variations on a theme (Other expansions)
  2.1 n-ary expansions
  2.2 Lüroth series
  2.3 Generalized Lüroth series
  2.4 β-expansions
 3 Ergodicity
  3.1 The Ergodic Theorem
  3.2 Examples of normal numbers
  3.3 β-transformations
  3.4 Ergodic properties of the β-expansion
  3.5 Ergodic properties of continued fractions Systems obtained from other systems
 4 Systems obtained from other systems
  4.1 GLS-expansion and β-expansion: A first glimpse at their connection
  4.2 Induced and integral transformations
  4.3 Natural extensions
  4.4 Natural extension of the GLS transformation
  4.5 Natural extension of the β-transformation
  4.6 For further reading
 5 Diophantine approximation and continued fractions
  5.1 Introduction
  5.2 The natural extension of the regular continued fraction
  5.3 Approximation coefficients revisited
  5.4 Other continued fractions
  5.5 A skew product related to continued fractions
  5.6 For further reading
 6 Entropy
  6.1 Introduction
  6.2 The Shannon-McMillan-Breiman Theorem and some consequences
  6.3 Saleski's Theorem
  6.4 For further reading
 Bibliography
 Index