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[美] 浪(Lang H.) 著
出版社: 世界图书出版公司 ISBN:9787510044076 版次:3 商品编码:11142970 包装:平装 外文名称:Calculus of Several Variables(Thied Edition) 开本:24开 出版时间:2012-06-01 用纸:胶版纸 页数:503 正文语种:英文
《数学经典教材(影印版):多元微积分(第3版)》读者对象:数学专业的本科生、研究生和相关专业的数学工作者。
CHAPTER Ⅰ Vectors
1.definition of points in space
2.located vectors
3.scalar product
4.the norm of a vector
5.parametric lines
6.planes
7.the cross product
CHAPTER Ⅱ Differentiation Of Vectors
1.derivative
2.length of curves
CHAPTER Ⅲ Functions Of Several Variables
1.graphs and level curves
2.partial derivatives
3.differentiability and gradient
4.repeated partial derivatives
CHAPTER Ⅳ The Chain Rule and the Gradient
1.the chain rule
2.tangent plane
3.directional derivative
4.functions depending only on the distance from the origin
5.the law of conservation of energy
6.further technique in partial differentiation
PART TWO maxima, minima, and taylor's formula
chapter Ⅴ Maximum and Minimum
1.critical points
2.boundary points
3.lagrange multipliers
CHAPTER Ⅵ higher derivatives
1.the first two terms in tayior's formula
2.the quadratic term at critical points
3.algebraic study of a quadratic form
4.partial differential operators
5.the general expression for tayior's formula
appendix.taylor's formula in one variable
NOTE.Chapter Ix on Double Integrals is self contained, and could be covered here.
PART THREE Curve Integrals and Double Integrals
CHAPTER Ⅶ Potential Functions
1.existence and uniqueness of potential functions
2.local existence of potential functions
3.an important special vector field
4.differentiating under the integral
5.proof of the local existence theorem
CHAPTER Ⅷ curve integrals
1.definition and evaluation of curve integrals
2.the reverse path
3.curve integrals when the vector field has a potential function
4.dependence of the integral on the path
……
PART FOUR triple and surface integrals
PART FIVE mappings, inverse mappings, and change of variables formula
APPENDIX Fourier Series
answers
index
数学经典教材(影印版):多元微积分(第3版) [Calculus of Several Variables(Thied Edition)] 电子书 下载 mobi epub pdf txt
数学经典教材(影印版):多元微积分(第3版) [Calculus of Several Variables(Thied Edition)]-so88
数学经典教材(影印版):多元微积分(第3版) [Calculus of Several Variables(Thied Edition)] pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
[美] 浪(Lang H.) 著
出版社: 世界图书出版公司 ISBN:9787510044076 版次:3 商品编码:11142970 包装:平装 外文名称:Calculus of Several Variables(Thied Edition) 开本:24开 出版时间:2012-06-01 用纸:胶版纸 页数:503 正文语种:英文
内容简介
《数学经典教材(影印版):多元微积分(第3版)》是全面,知识体系新颖的多变量微积分教程。旨在解决广大多变量微积分学者遇到的新老问题,包内包括:(第一部分)基础资料:向量;向量微分;多变量函数;链式法则和梯度;(第二部分)大值,小值和泰勒公式:大值和小值;高阶导数;(第三部分)曲线积分和双积分:势函数;曲线积分;双积分;格林定理;(第四部分)三重积分和曲面积分:三重积分;曲面积分;(第五部分)映射、反映射和变量变换公式:矩阵;线性映射;行列式;多变量函数的应用;变量变换公式;附录:傅里叶级数。《数学经典教材(影印版):多元微积分(第3版)》读者对象:数学专业的本科生、研究生和相关专业的数学工作者。
内页插图
目录
PART ONE Basic MaterialCHAPTER Ⅰ Vectors
1.definition of points in space
2.located vectors
3.scalar product
4.the norm of a vector
5.parametric lines
6.planes
7.the cross product
CHAPTER Ⅱ Differentiation Of Vectors
1.derivative
2.length of curves
CHAPTER Ⅲ Functions Of Several Variables
1.graphs and level curves
2.partial derivatives
3.differentiability and gradient
4.repeated partial derivatives
CHAPTER Ⅳ The Chain Rule and the Gradient
1.the chain rule
2.tangent plane
3.directional derivative
4.functions depending only on the distance from the origin
5.the law of conservation of energy
6.further technique in partial differentiation
PART TWO maxima, minima, and taylor's formula
chapter Ⅴ Maximum and Minimum
1.critical points
2.boundary points
3.lagrange multipliers
CHAPTER Ⅵ higher derivatives
1.the first two terms in tayior's formula
2.the quadratic term at critical points
3.algebraic study of a quadratic form
4.partial differential operators
5.the general expression for tayior's formula
appendix.taylor's formula in one variable
NOTE.Chapter Ix on Double Integrals is self contained, and could be covered here.
PART THREE Curve Integrals and Double Integrals
CHAPTER Ⅶ Potential Functions
1.existence and uniqueness of potential functions
2.local existence of potential functions
3.an important special vector field
4.differentiating under the integral
5.proof of the local existence theorem
CHAPTER Ⅷ curve integrals
1.definition and evaluation of curve integrals
2.the reverse path
3.curve integrals when the vector field has a potential function
4.dependence of the integral on the path
……
PART FOUR triple and surface integrals
PART FIVE mappings, inverse mappings, and change of variables formula
APPENDIX Fourier Series
answers
index
前言/序言
数学经典教材(影印版):多元微积分(第3版) [Calculus of Several Variables(Thied Edition)] 电子书 下载 mobi epub pdf txt
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