微积分:第1卷:Ⅰ
内容简介
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本书为《微积分》一书的**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。
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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’ Hospital’s 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
封面
书名:微积分:第1卷:Ⅰ
作者:张彪，张雅卓主编
页数:0
定价:¥48.0
出版社:哈尔滨工业大学出版社
出版日期:2015-09-01
ISBN:9787560355160
PDF电子书大小:51MB 高清扫描完整版