高等數學 (下) (英文版第2版) 陳文彥馬紅鋁 9787576614022 【台灣高等教育出版社】

Name: 高等數學 (下) (英文版 第2版) 陳文彥 馬紅鋁 9787576614022 【台灣高等教育出版社】
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原出版社：東南大學

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書名：高等數學 (下) (英文版第2版)
ISBN：9787576614022
出版社：東南大學
著編譯者：陳文彥馬紅鋁
頁數：302
所在地：中國大陸 *此為代購商品
書號：1637394
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內容簡介

本書是為響應東南大學國際化需求，根據國家教育部非數學專業數學基礎課教學指導分委員會制定的《工科類本科數學基礎課程教學基本要求》，並結合東南大學多年教學改革實踐經驗編寫的面向本科一年級學生開設的高等數學（微積分）課程的全英文教材。全書分為上、下兩冊，其中，上冊主要包括極限與連續、一元函數徽分學、一元函數積分學、常微分方程等內容，下冊主要包括向量代數與空間解析幾何、多元函數微分學、多元數量值函數的積分、向量場的積分、無窮級數等內容。本書可作為高等院校工科類專業本科生學習高等數學（微積分）的英文教材，也可供其他專業學生選用和相關科技工作者參考。

Chapter 5 Vectors and Analytic Geometry in Space
5 1 Vectors and Their Linear Operations
5 1 1 The Concept of Vector
5 1 2 Linear Operations on Vectors
5 1 3 Dot Product and Cross Product
Exercise 5 1
5 2 Operations on Vectors in Cartesian Coordinates in Three Space
5 2 1 Cartesian Coordinates in Three Space
5 2 2 Operations on Vectors in Cartesian Coordinates
Exercise 5 2
5 3 Planes and Lines in Space
5 3 1 Equations for Plane
5 3 2 Lines
5 3 3 Some Problems Related to Lines and Planes
Exercise 5 3
5 4 Curves and Surfaces in Space
5 4 1 Sphere and Cylinder
5 4 2 Curves in Space
5 4 3 Cone
5 4 4 Surfaces of Revolution
5 4 5 Quadric Surfaces
Exercise 5 4
5 5 Vector Valued Functions
5 5 1 Limit of a Vector-Valued Function
5 5 2 Derivative of a Vector-Valued Function
5 5 3 Integral of a Vector-Valued Function
5 5 4 Curvilinear Motion
5 5 5 Curvature
Exercise 5 5
Chapter Review Exercise
Chapter 6 Multivariate Functions and Partial Derivatives
6 1 Functions of Several Variables Exercise
Exercise 6 1
6 2 Limits and Continuity
Exercise 6 2
6 3 Partial Derivative
6 3 1 Definitions of Pa rtial Derivative
6 3 2 Geometric Inte rpretation of Partial De rivative
6 3 3 Second Order Pa rtial Derivatives
Exercise 6 3
6 4 Differentials
Exercise 6 4
6 5 Rules for Finding Partial Derivative
6 5 1 The Chain Rule
6 5 2 Implicit Differentiation Exercise
Exercise 6 5
6 6 Directional Derivatives and Gradient Vectors
6 6 1 Di rectional De rivatives
6 6 2 Gradient Vectors
Exercise 6 6
6 7 Geometric Applications of Differentiation of Functions of SeveraI Variables
6 7 1 Tangent Line and No rmal Plane to a Curve
6 7 2 Tangent Plane and No rmal Line to a Surface
Exercise 6 7
6 8 Taylor』s Formula for Functions of Two Variahles and Extreme Values
6 8 1 Taylor』s Formulation Functions of Tw。Variables
6 8 2 Extreme Values
6 8 3 Absolute Maxima and Minima on Closed Bounded Reaions
6 8 4 Lag range Multipliers
Exercise 6 8
Chapter Review Exercise
Chapter 7 Multiple Integrals
7 1 Concept and Properties of Integrals
7 1 1 Concept of the Multiple Integrals
7 1 2 Properties of the Multiple Integrals
Exercise 7 1
7 2 Evaluation of Double Integrals
7 2 1 Double Integ rals in Rectangula r Coordinates
7 2 2 Double Integ rals in Pola r Coordinates
7 2 3 Substitutions in Double Integ rals
Exercise 7 2
7 3 Evaluation of Triple Integrals
7 3 1 Triple Integ rals in Rectangula r Coo rdinates
7 3 2 Triple Integ rals in Cylind rical and Spherical Coo rdinates
Exercise 7 3
7 4 Line Integrals with Respect to Arc Length
Exercise 7 4
7 5 Surface Integrals with Respect to Area
7 5 1 Surface Area
7 5 2 Evaluation of Surface Integ rals with Respect to Area
Exercise 7 5
7 6 Application for the Integrals
Exercise 7 6
Chapter Review Exercise
Chapter 8 Integration in Vector Fields
8 1 Vector Fields Exercise
Exercise 8 1
8 2 Line Integrals of the Second Type
8 2 1 The Concept and Prope rties of the Line Integ rals of the Second Type
8 2 2 CaIculation
8 2 3 The Relation between the Two Line Integ rals Exercise
8 3 Green』s Theorem in the Plane
8 3 1 Green』s Theo rem
8 3 2 Path Independence fo r the Plane Case Exercise
8 4 The Surface Integral for Flux
8 4 1 Orientation
8 4 2 The Conception of the Su rface Integral for Flux
8 4 3 Calculation
8 4 4 The Relation between the Two Su rface Integ rals
Exercise
8 5 Gauss's Divergence Theorem
Exercise 8
8 6 Stokes's Theorem
Exercise 8
Chapter Review Exercise
Chapter 9 Infinite Series
9 1 Convergent Series
9 1 1 Concepts of Convergent Series
89 1 2 Properties o
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