分析中的问题与定理（第1卷）

出版时间：2004-4  出版社：世界图书出版公司  作者：George Pólya,Gábor Szegő  页数：389  
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内容概要

这套两卷集的教科书主要面向工程科学和应用数学领域的本科生和研究生，因此书中主要强调偏微分程在力学中的应用等内容，各章中的实例研究和每章后的习题均从工程应用中提炼而成。书中还全面讨论了唯一性定理，以及极大值原理和极小值原理。本书的根本目的在于引导学生运用力学中的偏微分方程理论建立工程问题模型。

书籍目录

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 PermutationsPart 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 NumbersPart 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 PrincipleAuthor IndexSubject Idex

用户评论 (总计4条)

•   个人认为这套习题集水平远超其他的
•   有题目和解答，相当不错
•   为我们影印了一些国外英文的名著。
•   实在是好难,我感觉不适合大二以下的学生