Series: Anneli Lax New Mathematical Library <P>A superb development that starts with the natural numbers and carries the reader through the rationals and their decimal representations to algebraic numbers and then to the real numbers. Along the way, you will see characterizations of the rationals
Irrational numbers
โ Scribed by Ivan Niven
- Publisher
- The Mathematical Association of America
- Year
- 2006
- Tongue
- English
- Leaves
- 176
- Series
- Carus Mathematical Monographs #11
- Edition
- 6th printing
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Title
Preface
Contents
1. Rationals and Irrationals
2. Simple Irrationalities
3. Certain Algebraic Numbers
4. The Approximation of Irrationals by Rationals
5. Continued Fractions
6. Further Diophantine Approximations
7. Algebraic and Transcendental Numbers
8. Normal Numbers
9. The Generalized Lindemann Theorem
10. The Gelfond-Schneider Theorem
List of Notation
Glossary
Reference Books
Index of Topics
Index of Names
๐ SIMILAR VOLUMES
A superb development that starts with the natural numbers and carries the reader through the rationals and their decimal representations to algebraic numbers and then to the real numbers. Along the way, you will see characterizations of the rationals and of certain special (Liouville) transcendental
<span>In this monograph, Ivan Niven, provides a masterful exposition of some central results on irrational, transcendental, and normal numbers. He gives a complete treatment by elementary methods of the irrationality of the exponential, logarithmic, and trigonometric functions with rational argument