出版时间:2004-7 出版社:机械工业出版社 作者:Manfred stoll 页数:550
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内容概要
《实分析引论(英文版)(原书第2版)》内容丰富,既包括了数学分析和实变函数的基本内容,又有近代数学中最基础的概念和方法。但又具有很强的可读性,对于概念的讲述注意从简单到复杂,从一般到特殊,基础内容和较深入的研究性问题兼顾。
作者简介
作者:(美国)斯通
书籍目录
总算说明序PREFACETO THE STUDENT1 The Real Number System 1.1 Sets and Operations on Sets 1.2 Functions 1.3 Mathematical Induction 1.4 The Least Upper Bound Property 1.5 Consequences of the Least upper Boud Property 1.6 binary and Ternary Expansions 1.7 Countable and Uncountable Sets Notes Miscellaneous Exercises Supplemental Reading 2 Sequences of Real Numbers 2.1 convergent Sequences 2.2 Limit Therems 2.3 Monotone Sequences 2.4 Subequences and the Bolzano-Veierstrass Thorem 2.5 Limit Superior and Inferior of a Sequence 2.6 Cauchy Sequences 2.7 Series of Real Numbers Notes Miscellaneous Exercises Supplemental Reading 3 Structure of Point Sets 3.1 Open and Closed Sets 3.2 compact Sets 3.3 The Cantor Set Notes Miscellaneous Exercises Supplemental Reading4 Limits and Continulty 4.1 Limit of a Function 4.2 Continuous Functions 4.3 Uniform Continuity 4.4 Monotone Functions and discontinuties Notes Miscellaneous Exercises Supplemental Reading5 Differentiation6 The Riemann and Riemann-Stieltjes Integral7 Series of Real Numbers8 Sequences and Series of Functions9 Orthogonal Functions and Fourier Series10 Lebesgue Measure and IntegrationAPPENDIX:Logic and Proofs
媒体关注与评论
书评本书特点: 本书丰富:涵盖数学分析、实变函数、近代数学课程内容。 可读性强:概念阐述从简单到复杂,从具体到一般,通俗易懂。 读者范围广:既有基础内容,又饱含了较深入的研究性问题。
编辑推荐
《实分析引论(英文版)(原书第2版)》特点: 内容丰富:涵盖数学分析、实变函数、近代数学课程内容。 可读性强:概念阐述从简单到复杂,从具体到一般,通俗易懂。 读者范围广:既有基础内容,又饱含了较深入的研究性问题。
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