作者：布鲁斯·C.伯恩特
页数：419
出版社：哈尔滨工业大学出版社
出版日期：2018
ISBN：9787560381312
电子书格式：pdf/epub/txt
内容简介
本书主要介绍了幻方、调和级数与反正切函数和相关问题、组合分析与级数反演、拉马努金发散级数理论、指数函数的迭代等相关理论。
本书特色
Sums of powers. Bernoulli Num bers, and the Gamma Function
CHAPTER 8
Analogues of the Gamma Function
CHAPTER 9
Introduction
CHAPTER 1
Magic Squares
CHAPTER 2
Sums Related to the Harmonic Series or the Inverse Tangent
Function
CHAPTER 3
Combinatorial Analysis and Series Inversions
CHAPTER 4
Iterates of the Exponential Function and an Ingenious
Formal Technique
CHAPTER 5
Eulerian Polynomials and Numbers, Bernoulli Numbers, and
the riemann Zeta-Function
CHAPTER 6
Ramanujans Theory of Divergent Series
CHAPTER 7
Sums of powers. Bernoulli Num bers, and the Gamma Function
CHAPTER 8
Analogues of the Gamma Function
CHAPTER 9
Infinite Series Identities, Transformations, and Evaluations
Ramanujan’s Quarterly Reports
References
Index
附录I
拉马努金的中国知音:数学家刘治国的“西天取经”之旅
附录Ⅱ
刘治国教授访谈
编辑手记
目录
CHAPTER 1
Magic Squares
CHAPTER 2
Sums Related to the Harmonic Series or the Inverse Tangent Function
CHAPTER 3
Combinatorial Analysis and Series Inversions
CHAPTER 4
Iterates of the Exponential Function and an Ingenious
Formal Technique
CHAPTER 5
Eulerian Polynomials and Numbers， Bernoulli Numbers， and the Riemann Zeta-Function
CHAPTER 6
Ramanujan’s Theory of Divergent Series
CHAPTER 7
Sums of Powers， Bernoulli Numbers， and the Gamma Function
CHAPTER 8
Analogues of the Gamma Function
CHAPTER 9
Infinite Series Identities， Transformations， and Evaluations
Ramanujan’s Quarterly Reports
References
Index
附录I 拉马努金的中国知音：数学家刘治国的“西天取经”之旅
附录II 刘治国教授访谈
编辑手记
