微积分:第1卷:Ⅰ9787560355160
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作者张彪，张雅卓主编
出版社哈尔滨工业大学出版社
ISBN9787560355160
出版时间2016-09
装帧平装
开本其他
定价48元
货号8582606
上书时间2024-12-13
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目录
目录
Chapter 1 Function
1.1 Concepts of Functions
1.2 Some Important Properties of Functions
1.3 Implicit Functions and Inverse Functions
1.4 Basic Elementary Functions
1.5 Composite Functions and Elementary Functions
1.6 Polar Coordinate System
1.7 Examples
Exercises 1
Chapter 2 Limits and Continuity
2.1 The Limit of a sequence
2.2 Properties and Operation of Convergent Sequences
2.3 Existence Discriminances of Sequence Limit
2.4 The Limit of a Function
2.5 Properties of Function Limits
2.6 Infinitesimal and Infinity
2.7 Continuity
2.8 Examples
Exercises 2
Chapter 3 Derivatives
3.1 Definition of Derivatives
3.2 Differentiation Rules
3.3 Higher—Order Derivatives
3.4 Linearization and Differentials
3.5 Examples
Exercises 3
Chapter 4 Applications of Derivatives
4.1 The Mean Value Theorem
4.2 L Hospitals Rule
4.3 Taylor Formula
4.4 Maximum and Minimum Values
4.5 Curve Sketching
4.6 Examples
Exercises 4
Chapter 5 The Indefinite Integral
5.1 The Antiderivative and the Indefinite Integral
5.2 Integration by Substitution
5.3 Integration by Parts
5.4 The Integration of Several Kinds of Functions
5.5 Examples
Exercises 5
Chapter 6 The Definite Integral and Its Applications
6.1 Concepts and Properties
6.2 The Fundamental Theorem of Calculus
6.3 Evaluating the Definite Integral
6.4 The Improper Integral
6.5 Applications of Definite Integrals
6.6 Examples
Exercises 6
Chapter 7 Differential Equations
7.1 Basic Concepts of Differential Equations
7.2 The First—Order Differential Equations
7.3 Some Order—Reducible Higher—Order Differential Equations
7.4 Linear Differential Equations of Higher Order
7.5 The Second—Order Linear Differential Equations with Constant
Coefficients
Exercise 7
Appendix
Appendix
Ⅰ Several Fundamental Theorems
Ⅱ Superior and Inferior Limits
Ⅲ Calculus in Economics
内容摘要
张彪、张雅卓主编的《微积分(第1卷高等学校教材)(英文版)》为《微积分》一书的第一卷，适用于工科院校非数学专业本科新生，亦可作为工程技术人员的参考书籍。本卷包含七个章节，内容涵盖函数、极
限与连续、微分及其应用、定积分、不定积分及其应用以及微分方程。本书包含大量例题及习题。
主编推荐
《高等学校教材:微积分(第1卷)(英文)》适用于工科院校非数学专业本科新生，亦可作为工程技术人员的参考书籍。本卷包含七个章节，内容涵盖函数、极限与连续、微分及其应用、定积分、不定积分及其应用以及微分方程，《高等学校教材:微积分(第1卷)(英文)》包含大量例题及习题。
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