导语
内容提要
《拉马努金笔记(第1卷)(英文)/国外优秀数学著作原版系列》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。
目录
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
Ramanujan's Theory of Divergent Series
CHAPTER7
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