图书介绍
微积分 英文 上PDF|Epub|txt|kindle电子书版本网盘下载
- 陈海波等编著 著
- 出版社： 长沙：中南大学出版社
- ISBN：9787811059878
- 出版时间：2009
- 标注页数：264页
- 文件大小：6MB
- 文件页数：273页
- 主题词：微积分－英文
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图书目录
Chapter 1 Functions and Limits1
1.1 Functions1
1.2 Limits of sequence of number10
1.3 Limit of functions16
1.4 The operation of limits22
1.5 The principle for existence of limits27
1.6 Two important limist29
1.7 Continuity of functions34
1.8 Infinitesimal and infinity quantity,the order for infinitesimals43
Chapter 2 Derivatives and Differentials50
2.1 The concepts of the derivative50
2.2 The rules of derivation58
2.3 Higher-order derivatives and differentials of functions66
2.4 Differential skill71
Chapter 3 Mean Value Theorems and Applications of Derivatives79
3.1 Mean value theorems79
3.2 L'Hospital's rule93
3.3 Properties of functions98
3.4 Differentiation of arc and curvature115
Chapter 4 Indefinite Integrals121
4.1 Concept and properties of indefinite integral121
4.2 Integration by substitution127
4.3 Integration by parts138
4.4 Integration of a several kinds of special functions144
Chapter 5 The Definite Integral and Its Applications155
5.1 Definition of definite integrals155
5.2 Properties of definite integrals161
5.3 The fundamental theorem of calculus165
5.4 Techniques for the computation of definite integrals171
5.5 Improper integrals177
5.6 Applications of definite integrals181
Chapter 6 Infinite Series196
6.1 Series with constant terms196
6.2 Power series213
6.3 Taylor's series223
6.4 Fourier series234
6.5 Expand a function into the sine series and cosine series244
Answers252