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实验数学（影印版）

样章
作者：
V. I. Arnold, Translated by Dmitry Fuchs and Mark Saul
定价：
99.00元
ISBN：
978-7-04-055626-1
版面字数：
250.000千字
开本：
16开
全书页数：
暂无
装帧形式：
精装
重点项目：
暂无
出版时间：
2021-03-01
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
暂无
  • 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
  • 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
  • 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
  • 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
  • Bibliography

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