微积分:英文版:下9787564192310
正版图书，可开发票，请放心购买。
￥ 31.36 6.3折 ￥ 50 全新
仅1件
广东广州
认证卖家担保交易快速发货售后保障
作者陈文彦，李慧玲编著
出版社东南大学出版社
ISBN9787564192310
出版时间2020-12
装帧平装
开本16开
定价50元
货号10905037
上书时间2024-12-13
- 店主推荐
- 最新上架
商品详情
- 品相描述：全新
- 商品描述
-
作者简介
陈文彦，东南大学数学学院教授、博士、硕士生导师。主要研究方向：非线性偏微分方程，近五年来，发表SCI论文10余篇。主持完成1项国家自然科学基金（2007.1-2009.12）。参与完成国家自然科学基金和江苏省自然科学基金各1项。2009年参加的几类非线性偏微分方程的研究获教育部颁发的国家自然科学奖二等奖（排名第四），2013年获江苏省级教学成果一等奖（排名第二）。主讲高等数学、数学物理方程、拓扑学、复变函数和线性偏微分方程等课程。
目录
Chapter 5 Infinite Series
5.1 Convergent Series
5.1.1 Concepts of Convergent Series
5.1.2 Properties of Convergent Series
5.2 Tests of Convergence and Divergence
5.2.1 Tests for Positive Series
5.2.2 Alternating Series
5.2.3 Absolute and Conditional Convergence
5.3 Tests for Improper Integrals
5.3.1 Improper Integrals: Infinite Limits of Integration
5.3.2 Improper Integrals.Infinite Integrands
5.3.3 The Gamma Function
5.4 Infinite Series o{ Functions
5.4.1 General Definition
5.4 .2 Uniform Convergence of Series
5.4.3 Properties of Uniformly Convergent Functional Series
5.5 Power Series
5.5 .I The Radius and Interval of Convergence
5.5.2 Properties of Power Series
5.6 Expanding Functions into Power Series
5.7 Fouriers Series
5.7.1 The Concept of Fouriers Series
5.7.2 Fouriers Sine and Cosine Series
5.7.3 Expending Functions with Arbitrary Period
Chapter Review Exercise
Chapter 6 Vectors and Analytic Geometry in Space
6.1 Vectors and Their Linear Operations
6.1.1 The Concept of Vector
6.1.2 Linear Operations on Vectors
6.1.3 Dot Product and Gross Product
6.2 Operations on Vectors in Cartesian Coordinates in Three Space
6.2.1 Cartesian Coordinates in Three Space
6.2.2 Operations on Vectors in Cartesian Coordinates
6.3 Planes and Lines in Space
6.3.1 Equations for Plane
6.3.2 Lines
6.3.3 Some Problems Related to Lines and Planes
6.4 Curves and Surfaces in Space
6.4.1 Sphere and Cylinder
6.4.2 Curves in Space
6,4.3 Cone
6.4.4 Surfaces of Revolution
6.4.5 Quadric Surfaces
6.5 Vector-Valued Functions
6.5.1 Limit of a Vector-Valued Function
6.5.2 Derivative of a Vector-Valued Function
6.5.3 Integral of a Vector-Valued Function
6.5.4 Curvilinear Motion
6.5.5 Curvature
Chapter Review Exercise
Chapter 7 Multivariate Functions and Partial Derivatives
7.1 Functions of Several Variables
7.2 Limits and Continuity
7.3 Partial Derivative
7.3.1 Definitions of Partial Derivative
7.3.2 Geometric Interpretation of Partial Derivative
7.3.3 Second Order Partial Derivatives
7.4 Differentials
7.5 Rules for Finding Partial Derivative
7.5.1 The Chain Rule
7.5.2 Implicit Differentiation
7.6 Directional Derivatives and Gradient Vectors
7.6.1 Directional Derivatives
7.6.2 Gradient Vectors
7.7 Geometric Applications of Differentiation of Functions of Several Variables
7.7.1 Tangent Line and Normal Plane to a Curve
7.7.2 Tangent Plane and Normal Line to a Surface
7.8 Taylors Formula for Functions of Two Variables and Extreme Values
7.8.1 Taylors Formula for Functions of Two Variables
7.8.2 Extreme Values
7.8.3 Absolute Maxima and Minima on Closed Bounded Regions
7.8.4 Lagrange Multipliers
Chapter Review Exercise
Chapter 8 Multiple Integrals
8.1 Concept and Properties of Integrals
8.1.1 Concept of the Multiple Integrals
8.1.2 Properties of the Multiple Integrals
8.2 Evaluation of Double Integrals
8.2.1 Double Integrals in Rectangular Coordinates
8.2.2 Double Integrals in Polar Coordinates
8.2.3 Substitutions in Double Integrals
8.3 Evaluation of Triple Integrals
8.3.1 Triple Integrals in Rectangular Coordinates
8.3.2 Triple Integrals in Cylindrical and Spherical Coordinates
8.4 Line Integrals with Respect to Arc Length
8.5 Surface Integrals with Respect to Area
8.5.1 Surface Area
8.5.2 Evaluation of Surface Integrals with Respect to Area
8.6 Application for the Integrals
Chapter Review Exercise
Chapter 9 Integration in Vector Fields
9.1 Vector Fields
9.2 Line Integrals of the Second Type
9.2.1 The Concept and Properties of the Line Integrals of the Second Type
9.2.2 Calculation
9.2.3 The Relation between the Two Line Integrals
9.3 Greens Theorem in the Plane
9.3.1 Greens Theorem
9.3.2 Path Independence for the Plane Case
9.4 The Surface Integral for Flux
9.4.1 Orientation
9.4.2 The Conception of the Surface Integral for Flux
9.4.3 Calculation
9.4.4 The Relation between the Two Surface Integrals
9.5 Gausss Divergence Theorem
9.6 Stokess Theorem
Chapter Review Exercise
Solutions to Selected Problem
内容摘要
本书是为响应东南大学国际化需求。根据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》，并结合东南大学多年教学改革实践经验编写的面向本科一年级学生开
设的高等数学(微积分)课程的全英文教材。全书分为上、下两册，主要包括极限、
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、多元函数积分学等内容。
本书中的内容是工科学生大学数学知识，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(微积分)的英文教材。也可供其他专业学生选用和相关科技工作者参考。
本书是《下册》。
精彩内容
本书是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，此为下册，主要包括级数、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、向量场的积分等五部分。本书对基本概念的叙述清晰准确，对基本理论的论述简明易懂，例题习题的选配典型多样，强调基本运算能力的培养及理论的实际应用。本教材的内容是工科学生必备大学数学知识。利用英文编写更有利于学生提高与国际同行专家交流的能力。
相关推荐
— 没有更多了 —
以下为对购买帮助不大的评价