高等數(shù)學(xué)（下）

內(nèi)容概要

　　《高等數(shù)學(xué)(下)(英文版)》為《高等數(shù)學(xué)》雙語(yǔ)教材的第二部分，主要內(nèi)容包括微分方程及其簡(jiǎn)單應(yīng)用、解析幾何、多元函數(shù)的微分及其應(yīng)用、多元函數(shù)的積分及其應(yīng)用，以及曲線、曲面積分。
　　《高等數(shù)學(xué)(下)(英文版)》的每一個(gè)部分都經(jīng)過了精細(xì)的篩選，力求做到重點(diǎn)突出、層次分明、敘述清楚、深入淺出、簡(jiǎn)明易懂。全書例題較為豐富，并且每一節(jié)之后均配有一定數(shù)量的習(xí)題。習(xí)題分為兩個(gè)部分，第一部分主要是對(duì)基本知識(shí)和基本方法的訓(xùn)練，第二部分則主要強(qiáng)調(diào)對(duì)基本知識(shí)和方法的靈活運(yùn)用能力。《高等數(shù)學(xué)(下)(英文版)》適用于高等學(xué)校理工科各專業(yè)學(xué)生的雙語(yǔ)教學(xué)，同時(shí)也可作為其他專業(yè)的教材和參考教材。

書籍目錄

Chapter 7 Differential Equations
　7.1 Basic Concepts of Differential Equations
　7.1.1 Examples of Differential Equations
　7.1.2 Basic Concepts
　7.1.3 Geometric Interpretation of the First-Order Differential
Equation
　Exercises 7.1
　7.2 First-Order Differential Equations
　7.2.1 First-Order Separable Differential Equation
　7.2.2 Homogeneous First-Order Equations
　7.2.3 Linear First-Order Equations
　7.2.4 Bernoulli's Equation
　7.2.5 Some Other Examples that can be Reduced to Linear
First-Order Equations
　Exercises 7.2
　7.3 Reducible Second-Order Differential Equations
　Exercises 7.3
　7.4 Higher-Order Linear Differential Equations
　7.4.1 Some Examples of Linear Differential Equation of
Higher-Order
　7.4.2 Structure of Solutions of Linear Differential
Equations
　Exercises 7.4
　7.5 Higher-Order Linear Equations with Constant Coefficients
　7.5.1 Higher-Order Homogeneous Linear Equations with Constant
Coefficients
　7.5.2 Higher-Order Nonhomogeneous Linear Equations with Constant
Coefficients
　Exercises 7.5
　7.6 Euler's Differential Equation
　Exercises 7.6
　7.7 Applications of Differential Equations
　Exercises 7.7
　
Chapter 8 Vectors and Solid Analytic Geometry
　8.1 Vectors in Plane and in Space
　8.1.1 Vectors
　8.1.2 Operations on Vectors
　8.1.3 Vectors in Plane
　8.1.4 Rectangular Coordinate System
　8.1.5 Vectors in Space
　Exercises 8.1
　Part A
　Part B
　8.2 Products of Vectors
　8.2.1 Scalar Product of two Vectors
　8.2.2 Vector Product of two Vectors
　8.2.3 Triple Scalar Product of three Vectors
　8.2.4 Applications of Products of Vectors
　Exercises 8.2
　Part A
　Part B
　8.3 Planes and Lines in Space
　8.3.1 Equations of Planes
　8.3.2 Equations of Lines in Space
　Exercises 8.3
　Part A
　Part B
　8.4 Surfaces and Space Curves
　8.4.1 Cylinders
　8.4.2 Cones
　8.4.3 Surfaces of Revolution
　8.4.4 Quadric Surfaces
　8.4.5 Space Curves
　……
Chapter 9 The Differential Calculus for Multi-variable
Functions
Chapter 10 Applications of Multi-variable Functions
Chapter 11 Multiple Integrals
Chapter 12 Line Integrals and Surface Integrals
Bibliography
　　

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