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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
版面字数：
250千字
开本：
16开
装帧形式：
精装
版次：
1
最新版次
印刷时间：
2021年
ISBN：
978-7-04-055626-1
物料号：
55626-00
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
  • 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
                  • 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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