The present English edition is not a mere translation of the German original. Many new problems have been added and there are also other changes, mostly minor. Yet all the alterations amount to less than ten percent of the text. We intended to keep intact the general plan and the original flavor of the work. Thus we have not introduced any essentially new subject matter, although the mathematical fashion has greatly changed since 1024. We have restricted ours'elves to supplementing the topics originally chosen. 此書為英文版！
基本介紹
- 書名：分析中的問題與定理
- 出版社：世界圖書出版公司
- 頁數：389頁
- ISBN：750626613X
- 作者：George Polya Gabor Szego
- 出版日期：2004年4月1日
- 開本：24開
- 品牌：世界圖書出版公司北京公司
基本介紹,內容簡介,作者簡介,圖書目錄,
基本介紹
內容簡介
The present English edition is not a mere translation of the German original. Many new problems have been added and there are also other changes, mostly minor. Yet all the alterations amount to less than ten percent of the text. We intended to keep intact the general plan and the original flavor of the work. Thus we have not introduced any essentially new subject matter, although the mathematical fashion has greatly changed since 1024. We have restricted ours'elves to supplementing the topics originally chosen.
作者簡介
作者：(美)George Polya (美)Gabor Szego
圖書目錄
Part One Infinite Series and Infinite Sequences
Chapter 1 One peratios with Power Series
Additive Unmber Theory,Combinatorial problems,and Applications
Binomial Coefficitents and Related Problem
Differentiation of Power Series
Functional Equations and Power Series
Gaussian Binomial Coefficients
Majorant Series
Chapter 2 Linear Transformations of Series.A Theorem of Cesaro
Triangular Transformations of Sequences into Sequences
More General Transformations of Sequences into Sequences
Transformations of Sequences into Functions,Theorem of Cesaro
Chapter 3 The Structuue of Real Sequences and Series
The Structure of Infinite Sequences
Convergence Exponent
The Maximum Term of a Power Series
Subseries
Rearrangement of the Terms
Distribution of the Sings of the Terms
Chapter 4 Miscellaneous Problems
Evneloping Series
Various Propositions on Real Series and Sequences
Partitions of Sets,Cycles in Permutations
Part Two Integration
Chapter 1 The Integral as the Limit of a Sum of Rectangles
Chapter 2 Inequalities
Chapter 3 Some Propertries of Real Functions
Chapter 4 Various Types of Equidistribution
Chapter 5 Functions of Large Numbers
Part Three Functions of One Complex Variable,General Part
Chapter 1 Complex Numbers and Number Sequences
Chapter 2 Mappings and Vector Fields
Chapter 3 Some Geometrical Aspects of Complex Vriables
Chapter 4 Cauchy's Theorem·The Argument Principle
Chapter 5 Sequences of Analytic Functions
Chapter 6 The Maximum Principle
Author Index
Subject Idex
Chapter 1 One peratios with Power Series
Additive Unmber Theory,Combinatorial problems,and Applications
Binomial Coefficitents and Related Problem
Differentiation of Power Series
Functional Equations and Power Series
Gaussian Binomial Coefficients
Majorant Series
Chapter 2 Linear Transformations of Series.A Theorem of Cesaro
Triangular Transformations of Sequences into Sequences
More General Transformations of Sequences into Sequences
Transformations of Sequences into Functions,Theorem of Cesaro
Chapter 3 The Structuue of Real Sequences and Series
The Structure of Infinite Sequences
Convergence Exponent
The Maximum Term of a Power Series
Subseries
Rearrangement of the Terms
Distribution of the Sings of the Terms
Chapter 4 Miscellaneous Problems
Evneloping Series
Various Propositions on Real Series and Sequences
Partitions of Sets,Cycles in Permutations
Part Two Integration
Chapter 1 The Integral as the Limit of a Sum of Rectangles
Chapter 2 Inequalities
Chapter 3 Some Propertries of Real Functions
Chapter 4 Various Types of Equidistribution
Chapter 5 Functions of Large Numbers
Part Three Functions of One Complex Variable,General Part
Chapter 1 Complex Numbers and Number Sequences
Chapter 2 Mappings and Vector Fields
Chapter 3 Some Geometrical Aspects of Complex Vriables
Chapter 4 Cauchy's Theorem·The Argument Principle
Chapter 5 Sequences of Analytic Functions
Chapter 6 The Maximum Principle
Author Index
Subject Idex
