图书信息
图书目录
实验数学（影印版）
暂无简介
作者：
V. I. Arnold, Translated by Dmitry Fuchs and Mark Saul
定价：
99.00 元
出版时间：
2021-03-01
ISBN：
978-7-04-055626-1
物料号：
55626-00
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：
计算数学
重点项目：
暂无
版面字数：
250千字
开本：
16开
装帧形式：
精装
页数：
暂无
最新印次时间：
2021年01月
- 目录
- 前辅文
- Introduction
- Lecture 1. The Statistics of Topology and Algebra
- §1. Hilbert's Sixteenth Problem
- §2. The Statistics of Smooth Functions
- §3. Statistics and the Topology of Periodic Functions and Trigonometric Polynomials
- §4. Algebraic Geometry of Trigonometric Polynomials
- Editor's notes
- §1. Hilbert's Sixteenth Problem
- Lecture 2. Combinatorial Complexity and Randomness
- §1. Binary Sequences
- §2. Graph of the Operation of Taking Differences
- §3. Logarithmic Functions and Their Complexity
- §4. Complexity and Randomness of Tables of Galois Fields
- Editor's notes
- §1. Binary Sequences
- Lecture 3. Random Permutations and Young Diagrams of Their Cycles
- §1. Statistics of Young Diagrams of Permutations of Small Numbers of Objects
- §2. Experimentation with Random Permutations of Larger Numbers of Elements
- §3. Random Permutations of p2 Elements Generated by Galois Fields
- §4. Statistics of Cycles of Fibonacci Automorphisms
- Editor's notes
- §1. Statistics of Young Diagrams of Permutations of Small Numbers of Objects
- Lecture 4. The Geometry of Frobenius Numbers for Additive Semigroups
- §1. Sylvester's Theorem and the Frobenius Numbers
- §2. Trees Blocked by Others in a Forest
- §3. The Geometry of Numbers
- §4. Upper Bound Estimate of the Frobenius Number
- §5. Average Values of the Frobenius Numbers
- §6. Proof of Sylvester's Theorem
- §7. The Geometry of Continued Fractions of Frobenius Numbers
- §8. The Distribution of Points of an Additive Semigroup on the Segment Preceding the Frobenius Number
- Editor's notes
- §1. Sylvester's Theorem and the Frobenius Numbers
- Bibliography
- 前辅文
