- 分析学教程--第1卷一元实变量函数的微积分分析学介绍(英文)/国外优秀数学著作原版系列
- - 作者：(英)尼尔斯·雅各布//克里斯蒂安·P.埃文斯|责编:刘家琳
  - 出版社：哈尔滨工业大学
  - ISBN：9787576706116
  - 出版日期：2023/03/01
  - 页数：753
- 售价：47.2

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本书的目标是为学生和讲师提供易于理解的资料，而且该资料也可以为整个本科阶段的分析学课程服务。本书也可用作标准参考书。全书共分为两部分：第一部分介绍了微积分，具体包括绝对值、不等式和区间、数学归纳法、函数与映射、导数、指数函数与对数函数、三角函数与它们的逆等；第二部分阐释了一维分析学，具体内容包括实线的问题、序列与它们的极限、带级数的问题、实数的完备性、级数、连续函数、微分、导数的应用等相关内容。
作者介绍
目录
Preface
Acknowledgements and Apologies
List of Symbols
The Greek Alphabet
Part 1: Introductory Calculus
  1 Numbers - Revision
  2 The Absolute Value, Inequalities and Intervals
  3 Mathematical Induction
  4 Functions and Mappings
  5 Functions and Mappings Continued
  6 Derivatives
  7 Derivatives Continued
  8 The Derivative as a Tool to Investigate Functions
  9 The Exponential and Logarithmic Functions
  10 Trigonometric Functions and Their Inverses
  11 Investigating Functions
  12 Integrating Functions
  13 Rules for Integration
Part 2: Analysis in One Dimension
  14 Problems with the Real Line
  15 Sequences and their Limits
  16 A First Encounter with Series
  17 The Completeness of the Real Numbers
  18 Convergence Criteria for Series, b-adic Fractions
  19 Point Sets in
  20 Continuous Functions
  21 Differentiation
  22 Applications of the Derivative
  23 Convex Functions and some Norms on Rn
  24 Uniform Convergence and Interchanging Limits
  25 The Riemann Integral
  26 The Fundamental Theorem of Calculus
  27 A First Encounter with Differential Equations
  28 Improper Integrals and the F-Function
  29 Power Series and Taylor Series
  30 Infinite Products and the Gauss Integral
  31 More on the F-Function
  32 Selected Topics on Functions of a Real Variable
Appendices
  Appendix I: Elementary Aspects of Mathematical Logic
  Appendix II: Sets and Mappings. A Collection of Formulae
  Appendix III: The Peano Axioms
  Appendix IV: Results from Elementary Geometry
  Appendix V: Trigonometric and Hyperbolic Functions
  Appendix VI: More on the Completeness of
  Appendix VII: Limes Superior and Limes Inferior
  Appendix VIII: Connected Sets in R
  Solutions to Problems of Part 1
  Solutions to Problems of Part 2
  References

  Mathematicians Contributing to Analysis
  Subject Index
编辑手记

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作者介绍

目录

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