Table of contents
- 11.1 Statement of the Problem
- 11.2 Generalities Concerning the Problem
- 11.3 An Argument of Dirichlet
- 11.4 Orders of Approximation
- 11.5 Algebraic and Transcendental Numbers
- 11.6 The Existence of Transcendental Numbers
- 11.7 Liouville’s Theorem and the Construction of Transcendental Numbers
- 11.8 The Measure of the Closest Approximations to an Arbitrary Irrational
- 11.9 Another Theorem Concerning the Convergents to a Continued Fraction
- 11.10 Continued Fractions with Bounded Quotients
- 11.12 Simultaneous Approximation
- 11.13 The Transcendence of e
- 11.14 The Transcendence of \pi