数学分析（第1卷）
2006-1
世界图书出版公司
B. A. 卓里奇
574
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An entire generation of mathematicians has grown up during the time between the appearance of the first edition of this textbook and the publication of the fourth edition， a translation of which is before you. The book is familiar to many people， who either attended the lectures on which it is based or studied out of it， and who now teach others in universities all over the world.I am glad that it has become accessible to English-speaking readers. . This textbook consists of two parts. It is aimed primarily at university students and teache..
这是一套完整介绍数学分析的教材，内容涉及从实数到流形上的微分形式，其中包括渐近方法、傅立叶分析、拉普拉斯变换、勒让德变换、椭圆函数以及频率分布。本书语言通俗，表达清晰，各章有大量的练习、思考题以及最新应用实例。
佐里奇，是莫斯科国立大学教授。主要从事分析、保角几何、拟共形映照方面的研究工作。近期从事热力学中的数学问题的研究。他解决了空间拟共形映照下的球面同胚问题，并因该研究成果获得了“青年数学家国家奖”（National Prize for Young Mathematicians）。同时还拥有一项技术专利。
作为莫斯科国立大学数学力学系高级实验课程的组织者之一，他在一些大学中开设并教授现代分析学课程，并发表了大量的数学研究成果。
1 Some General Mathematical Concepts and Notation. 1.1 Logical Symbolism 1.2 Sets and Elementary Operations on them 1.3 Functions 1.4 Supplementary Material 2 The Real Numbers 2.1 Axioms and Properties of Real Numbers 2.2 Classes of Real Numbers and Computations 2.3 Basic Lemmas on Completeness 2.4 Countable and Uncountable Sets 3 Limits 3.1 The Limit of a Sequence 3.2 The Limit of a Function 4 Continuous Functions 4.1 Basic Definitions and Examples 4.2 Properties of Continuous Functions 5 Differential Calculus 5.1 Differentiable Functions 5.2 The Basic Rules of Differentiation 5.3 The Basic Theorems of Differential Calculus 5.4 Differential Calculus Used to Study Functions 5.5 Complex Numbers and Elementary Functions 5.6 Examples of Differential Calculus in Natural Science 5.7 Primitives 6 Integration 6.1 Definition of the Integral 6.2 Linearity, Additivity and Monotonicity of the Iuntegral 6.3 The Integral and the Derivative 6.4 Some Applications of Integration 6.5 Improper Integrals7 Functions of Several Variables 7.1 The Space Rm and its Subests 7.2 Limits and Continuity of Functions of Several Variables8 Differential Calculus in Several Variables 8.1 The Linear Structure on Rm……Some Problems from the Midterm ExaminationsExamination TopicsReferencesSubject IndexName Index
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名气不亚于rudin的书，各方面都写得很细，为渗入到微分方程、微分几何等各个分支打下扎实的基础，物理应用等也都经常涉及，适合有心深究的看
这是现在写得最为现代的数学分析书。
全英文版的教材，感觉英文版的数学更有简单明了
帮朋友买的，他喜欢数学的书，在研究数学
工作几年之后发现数学越来越重要，于是买了重读
经典，喜欢数学和英语的同仁们千万不要错过！
再怎么评价此书都显得苍白无力，个人认为作者将分析写到了极致。
很好啊，英文版的，不错
苏联的优秀教材，好书！
内容挺好的，就是质量不给了
是一部经典著作，俄罗斯作者写的经典著作。
have not read yet,but it looks good
got so much out this book
能不读的话，真不想读，但不得不读，书很好
建议多读几遍，细细品味。习题也不要放过。
当当送的质量不行,有出版社的原因,印刷装订本来就不行,当当的送货也弄破了,决定退掉.
帮儿子买的 应该不错
书整体十分严谨，基础性强，初学有一定难度
题目还真挺复杂的。。。高中水平有点hold不住。。。但是极为有用
帮学霸买的，学霸表示很满意，
书不错，印刷是屎书不错，印刷是屎
塑料包装很不错，应该是正品。
纸的质量差，不值这个价
名著，非常好