《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类本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。
《高等数学(下)(英文版)/高等院校双语教学规划教材》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。
《高等数学(下)(英文版)/高等院校双语教学规划教材》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。
Chapter 5 Infinite Series
§5.1.1 The Concept of Infinite Series
§5.2 Tests for Convergence of Positive Series
§5.3 Alternating Series, Absolute Convergence, and Conditional
§5.3.2 Absolute Convergence and Conditional Convergence
§5.4.1 Tests for the Improper Integrals: Infinite Limits of
§5.4.2 Tests for the Improper Integrals: Infinite Integrands
§5.5.2 Uniform Convergence of Series
§5.5.3 Properties of Uniformly Convergent Functional Series
§5.6.1 The Radius and Interval of Convergence
§5.6.3 Expanding Functions into Power Series
§5.7.1 The Concept of Fourier Series
§5.7.2 Fourier Sine and Cosine Series
§5.7.3 Expariding Functions with Arbitrary Period
Chapter 6 Vectors and Analytic Geometry in Space
§6.1.2 Linear Operations on Vectors
§6.1.3 Dot Products and Cross Product
§6.2 0perations on Vectors in Cartesian Coordinates in Three Space
§6.2.1 Cartesian Coordinates in Three Space
§6.2.2 0perations on Vectors in Cartesian Coordinates
§6.3.1 Equations for Plane
§6.3.3 Some Problems Related to Lines and Planes
§6.4.2 Curvesin Space
§6.4.4 QuadricSurfaces
……
Chapter 7 Multivariable Functions and Partial Derivatives
Chapter 8 Multiple Integrals
Chapter 9 Integration in Vectors Field
Chapter 10 Complex Analysis