高等数学(下英文版)
¥43.00定价
作者: 东南大学大学数学教研室
出版时间:2015-01
出版社:东南大学出版社
- 东南大学出版社
- 9787564154820
- 128836
- 2015-01
- O13
内容简介
东南大学大学数学教研室编著的《高等数学(下英文版高等院校双语教学规划教材)》是为响应东南大学国际化需要,根据国家教育部非数学专业数学基础课教学指导分委员会制定的工科数学基础课程教学基本要求,并结合东南大学数学系多年教学改革实践经验编写的全英文教材。全书分为上、下两册,内容包括极限、一元函数微分学、一元函数积分学、常微分方程、级数、向量代数与空间解析几何、多元函数微分学、多元函数积分学、向量场的积分、复变函数等十个章节。
本书可作为高等理工科院校非数学类专业本科生学习高等数学课程的英文教材,也可供其他专业选用和社会读者阅读。
本书可作为高等理工科院校非数学类专业本科生学习高等数学课程的英文教材,也可供其他专业选用和社会读者阅读。
目录
Chapter 5 Infinite Series
5.1 Infinite Series
5.1.1 The Concept of Infinite Series
5.1.2 Conditions for Convergence
5.1.3 Properties of Series
Exercise 5.1
5.2 Tests for Convergence of Positive Series
Exercise 5.2
5.3 Alternating Series, Absolute Convergence, and Conditional Convergence
5.3.1 Alternating Series
5.3.2 Absolute Convergence and Conditional Convergence
Exercise 5. 3
5.4 Tests for Improper Integrals
5.4.1 Tests for the Improper Integrals: Infinite Limits of Integration
5.4.2 Tests for the Improper Integrals: Infinite Integrands
5.4.3 The Gamma Function
Exercise 5.4
5.5 Infinite Series of Functions
5.5.1 General Definitions
5.5.2 Uniform Convergence of Series
5.5.3 Properties of Uniformly Convergent Functional Series
Exercise 5. 5
……
Chapter 6 Vectors and Analytic Geometry in Space
Chapter 7 Multivariable Functions and Partial Derivatives
Chapter 8 Multiple Integrals
Chapter 9 Integration in Vectors Field
Chapter 10 Complex Analysis
5.1 Infinite Series
5.1.1 The Concept of Infinite Series
5.1.2 Conditions for Convergence
5.1.3 Properties of Series
Exercise 5.1
5.2 Tests for Convergence of Positive Series
Exercise 5.2
5.3 Alternating Series, Absolute Convergence, and Conditional Convergence
5.3.1 Alternating Series
5.3.2 Absolute Convergence and Conditional Convergence
Exercise 5. 3
5.4 Tests for Improper Integrals
5.4.1 Tests for the Improper Integrals: Infinite Limits of Integration
5.4.2 Tests for the Improper Integrals: Infinite Integrands
5.4.3 The Gamma Function
Exercise 5.4
5.5 Infinite Series of Functions
5.5.1 General Definitions
5.5.2 Uniform Convergence of Series
5.5.3 Properties of Uniformly Convergent Functional Series
Exercise 5. 5
……
Chapter 6 Vectors and Analytic Geometry in Space
Chapter 7 Multivariable Functions and Partial Derivatives
Chapter 8 Multiple Integrals
Chapter 9 Integration in Vectors Field
Chapter 10 Complex Analysis