图书信息
图书目录
数的遍历理论（影印版）
暂无简介
作者：
Karma Dajani，Cor Kraaikamp 著
定价：
99.00 元
出版时间：
2026-03-27
ISBN：
978-7-04-065969-6
物料号：
65969-00
读者对象：
学术著作
一级分类：
自然科学
二级分类：
数学与统计
三级分类：
数论
重点项目：
暂无
版面字数：
330.00千字
开本：
16开
装帧形式：
精装
版次：
1
最新版次印刷时间：
2026-01-06
- 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
