点击选择搜索分类
首页 - 硬笔书法- 正文
☆☆☆☆☆
||
马知恩,王锦森 著
出版社: 高等教育出版社 ISBN:9787040154849 版次:1 商品编码:10002081 包装:平装 开本:16开 出版时间:2005-01-01 用纸:胶版纸 页数:390 正文语种:英语
The selection of the contents is in accordance with the fundamental requirements of teaching issued by the Ministry of Education of China,and is based on the accOmDlishments of reform in teaching during the past ten years.The arrangement and explanation of the main contents in this book are approximately the same as the published Chinese version with the same title and edited in chief by the first two authors.It may help readers to understand the mathematics and to improve the level of their English by reading one of them and using the other one as a reference. This book may be used as a textbook for undergraduate students in the science and engi. neering schools whose majors are not mathematics,and may also be suitable to the readers at the same level.
Chapter l Theoretical Basis of Calculus
1.1 Sets and Functions
1.1.1 Sets and their operations
1.1.2 Concepts of mappings and functions
1.1.3 Composition of mappings and composition of functions
1.1.4 Inverse mappings and inverse functions
1.1.5 Elementary functions and hyperbolic functions
1.1.6 Some examples for modelling of functions in practical problems
Exercises 1.1
1.2 Limit of Sequence
1.2.1 Concept of limit of a sequence
1.2.2 Conditions for c onvergenc e of a sequenc e
1.2.3 Rules of operations on convergent sequenc es
Exercises 1.2
l-3 Limit of Function
1-3.1 The concept of limit of a function
1.3.2 The properties and operation rules of functional limits
1-3-3 Two important limits
Exercises 1.3
1.4 Infinitesimal and Infinite Quantities
1.4.1 Infinitesimal quantities and their order
1.4.2 Equivalence transformations of infinitesimals
1.4.3 Infinite quantities
ExereIses 1.4
1.5 ContinUOUS Functions
1.5.1 The concept of continuous function and classification ofdisc ontinuous points
1.5.2 Operations on continuous functions and the continuAy of elementary funct~~ns
1.5.3 Properties of continuous funct~~ns on a closed interval
Exercises 1.5
Chapter 2 The Differcmtial Caleukls and Its Applications
2.1 Concept of Derivatives
2.1.1 Definition of derivatives
2.1.2 Relationship between derivability and continuity
2.1.3 Some examples of derivative prob~~ms in sconce and technology
Exercises 2.1
2.2 Fundamental Derivation Rules
2.2.1 Derivation rules for sum,difference,product and quotient of functions
2.2.2 Derivation rule for composite functions
2.2.3 The derivative of an inverse function
2.2.4 Higher-order derivatives
Exercises 2.2
2.3 Derivation of Implicit Functions and Functions Defined by Parametric Equations
2.3.1 Method of derivation of implicit functions
2.3.2 Method of derivation of a function defmed by parametric equations
2.3.3 Related rates of change
Exercises 2.3
2.4 The Differential
2.4.1 Concept of the differential
2.4.2 Geometric meaning of the differential
2.4.3 Rules of operations on differentials
2.4.4 Application of the differential in approximate computation
Exercises 2.4
2.5 The Mean Value Theorem in Differential Calculus and L’Hospital’S Rules
2.5.1 Mean value theorems in differential calculus
2.5.2 L’Hospital’S rules
Exercises 2.5
2.6 Taylor’S Theorem and Its Applications
2.6.1 Taylor’S theorem
2.6.2 Maclaurin formulae for some elementary functions
2.6.3 Some applications of Taylor’S theorem
Exerc ises 2.6
2.7 Study of Properties of Functions
2.7.1 Monotonicity of functmns
2.7.2 Extreme values of functions
2.7.3 Global maxima and minima
2.7.4 Convexity of functmns
Exercises 2.7
Synthetic exerc ises
Chapter 3 The Integral Calculus and Its Applications
3.1 Concept and Properties of Definite Integrals
3.1.1 Examples of definite integral problems
3.1.2 The definition of definite integral
3.1.3 Properties of defmite integrals
Exercises 3.1
3.2 The Newton-Leibniz Formula and the Fundamental Theorems of Calculus
3.2.1 Newton-Leibniz formula
3.2.2 Fundamental theorems of CalcUlus
Exercises 3.2
3.3 Indefinite Integrals and Integration
3.3.1 IndeKmite integrals
3.3.2 Integration by substitutions
3.3.3 Integration by parts
3.3.4 Quadrature problems for elementary fundamental functions
Exercises 3.3
3.4 Applications of Definite Integrals
3.4.1 Method of elements for setting up integral representations
3.4.2 Some examples on the applications of the defmite integral in geometry
3.4.3 Some examples of applications ofthe definite integralin physics
Exercises 3.4
3.5 Some Types of Simple Differential Equations
3.5.1 Some fundamental concepts
3.5.2 First order differential equations with variables separable
3.5.3 Linear equations offirst order
3.5.4 Equations of first order solvable by transformations of variables
3.5.5 Differential equations of second order solvable by reduced order
methods
3.5.6 Some examples of application of differential equations
Exertises 3.5
3.6 Improper Integrals
3.6.1 Integration on an infinite interval
3.6.2 Integrals of unbounded functions
Exercises 3.6
Chapter 4 Infinte Series
4.1 Series of Constant Terms
4.I.I Concepts and properties of series with constant terms
4.1.2 Convergence tests for series of positive terms
4.1.3 Series with variation of signs and tests for convergence
Exercises 4.1
4 2 Power Series
4.2.I Concepts of series of functions
4.2.2 Convergence of power series and operations on power series
4.2.3 Expansion of functions in power series
4.2.4 Some examples of applications of power series
4.2.5 Uniform convergence of series of functions
Exercises 4.2
4.3 Fourier Series
4.3.1 Periodic functions and trigonometric series
4.3.2 Orthogonality of the system of trigonometric functions and Fourier series
4.3.3 Fourier expansions of periodic functions
4.3.4 Fourier expansion of functions defined on the interval[O,l]
4.3.5 Complex form of Fourier series
Exercises 4.3
Synthetic exerc ises
Appendix Answers and Hints for Exercises~
高等数学基础1(英文版) 电子书 下载 mobi epub pdf txt
高等数学基础1(英文版)-so88
高等数学基础1(英文版) pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
马知恩,王锦森 著
出版社: 高等教育出版社 ISBN:9787040154849 版次:1 商品编码:10002081 包装:平装 开本:16开 出版时间:2005-01-01 用纸:胶版纸 页数:390 正文语种:英语
内容简介
The aim of this book is to meet the requirements of teaching Calculus in English or in bilin. gual education according to the customs of teaching and the present domestic conditions.It is divided into two volumes.The first volume contains Calculus of single variable,simple differential equations,infinite series,and the second volume contains the rest.The selection of the contents is in accordance with the fundamental requirements of teaching issued by the Ministry of Education of China,and is based on the accOmDlishments of reform in teaching during the past ten years.The arrangement and explanation of the main contents in this book are approximately the same as the published Chinese version with the same title and edited in chief by the first two authors.It may help readers to understand the mathematics and to improve the level of their English by reading one of them and using the other one as a reference. This book may be used as a textbook for undergraduate students in the science and engi. neering schools whose majors are not mathematics,and may also be suitable to the readers at the same level.
目录
~IntroductionChapter l Theoretical Basis of Calculus
1.1 Sets and Functions
1.1.1 Sets and their operations
1.1.2 Concepts of mappings and functions
1.1.3 Composition of mappings and composition of functions
1.1.4 Inverse mappings and inverse functions
1.1.5 Elementary functions and hyperbolic functions
1.1.6 Some examples for modelling of functions in practical problems
Exercises 1.1
1.2 Limit of Sequence
1.2.1 Concept of limit of a sequence
1.2.2 Conditions for c onvergenc e of a sequenc e
1.2.3 Rules of operations on convergent sequenc es
Exercises 1.2
l-3 Limit of Function
1-3.1 The concept of limit of a function
1.3.2 The properties and operation rules of functional limits
1-3-3 Two important limits
Exercises 1.3
1.4 Infinitesimal and Infinite Quantities
1.4.1 Infinitesimal quantities and their order
1.4.2 Equivalence transformations of infinitesimals
1.4.3 Infinite quantities
ExereIses 1.4
1.5 ContinUOUS Functions
1.5.1 The concept of continuous function and classification ofdisc ontinuous points
1.5.2 Operations on continuous functions and the continuAy of elementary funct~~ns
1.5.3 Properties of continuous funct~~ns on a closed interval
Exercises 1.5
Chapter 2 The Differcmtial Caleukls and Its Applications
2.1 Concept of Derivatives
2.1.1 Definition of derivatives
2.1.2 Relationship between derivability and continuity
2.1.3 Some examples of derivative prob~~ms in sconce and technology
Exercises 2.1
2.2 Fundamental Derivation Rules
2.2.1 Derivation rules for sum,difference,product and quotient of functions
2.2.2 Derivation rule for composite functions
2.2.3 The derivative of an inverse function
2.2.4 Higher-order derivatives
Exercises 2.2
2.3 Derivation of Implicit Functions and Functions Defined by Parametric Equations
2.3.1 Method of derivation of implicit functions
2.3.2 Method of derivation of a function defmed by parametric equations
2.3.3 Related rates of change
Exercises 2.3
2.4 The Differential
2.4.1 Concept of the differential
2.4.2 Geometric meaning of the differential
2.4.3 Rules of operations on differentials
2.4.4 Application of the differential in approximate computation
Exercises 2.4
2.5 The Mean Value Theorem in Differential Calculus and L’Hospital’S Rules
2.5.1 Mean value theorems in differential calculus
2.5.2 L’Hospital’S rules
Exercises 2.5
2.6 Taylor’S Theorem and Its Applications
2.6.1 Taylor’S theorem
2.6.2 Maclaurin formulae for some elementary functions
2.6.3 Some applications of Taylor’S theorem
Exerc ises 2.6
2.7 Study of Properties of Functions
2.7.1 Monotonicity of functmns
2.7.2 Extreme values of functions
2.7.3 Global maxima and minima
2.7.4 Convexity of functmns
Exercises 2.7
Synthetic exerc ises
Chapter 3 The Integral Calculus and Its Applications
3.1 Concept and Properties of Definite Integrals
3.1.1 Examples of definite integral problems
3.1.2 The definition of definite integral
3.1.3 Properties of defmite integrals
Exercises 3.1
3.2 The Newton-Leibniz Formula and the Fundamental Theorems of Calculus
3.2.1 Newton-Leibniz formula
3.2.2 Fundamental theorems of CalcUlus
Exercises 3.2
3.3 Indefinite Integrals and Integration
3.3.1 IndeKmite integrals
3.3.2 Integration by substitutions
3.3.3 Integration by parts
3.3.4 Quadrature problems for elementary fundamental functions
Exercises 3.3
3.4 Applications of Definite Integrals
3.4.1 Method of elements for setting up integral representations
3.4.2 Some examples on the applications of the defmite integral in geometry
3.4.3 Some examples of applications ofthe definite integralin physics
Exercises 3.4
3.5 Some Types of Simple Differential Equations
3.5.1 Some fundamental concepts
3.5.2 First order differential equations with variables separable
3.5.3 Linear equations offirst order
3.5.4 Equations of first order solvable by transformations of variables
3.5.5 Differential equations of second order solvable by reduced order
methods
3.5.6 Some examples of application of differential equations
Exertises 3.5
3.6 Improper Integrals
3.6.1 Integration on an infinite interval
3.6.2 Integrals of unbounded functions
Exercises 3.6
Chapter 4 Infinte Series
4.1 Series of Constant Terms
4.I.I Concepts and properties of series with constant terms
4.1.2 Convergence tests for series of positive terms
4.1.3 Series with variation of signs and tests for convergence
Exercises 4.1
4 2 Power Series
4.2.I Concepts of series of functions
4.2.2 Convergence of power series and operations on power series
4.2.3 Expansion of functions in power series
4.2.4 Some examples of applications of power series
4.2.5 Uniform convergence of series of functions
Exercises 4.2
4.3 Fourier Series
4.3.1 Periodic functions and trigonometric series
4.3.2 Orthogonality of the system of trigonometric functions and Fourier series
4.3.3 Fourier expansions of periodic functions
4.3.4 Fourier expansion of functions defined on the interval[O,l]
4.3.5 Complex form of Fourier series
Exercises 4.3
Synthetic exerc ises
Appendix Answers and Hints for Exercises~
前言/序言
In order to improve the English level of students in China and to make use of successful teaching experiences in Western countries,universities in China have begun to use bilingual teaching in classrooms.To accomodate this,Eng. 1ish language textbooks are高等数学基础1(英文版) 电子书 下载 mobi epub pdf txt
电子书下载地址:
相关电子书推荐:
- 文件名
- 京虎子说-这么吃才科学
- 正版 全国少儿声乐考级曲集(九级-十级)9级10级正版书籍赠2张光盘 儿童歌曲世界选集水平考试教材艺
- 我们怎样接受不同-孩子们应该知道的秘密
- 从零起步学吉他 轻松入门书 送DVD教学 杜新春吉它教材 吉他教程
- 狮子:野生动物生活实录(简装)
- 正版 协和临床用药速查手册+协和外科住院医师手册+实用外科医嘱手册+协和内科住院医师手册
- 农博士答疑一万个为什么丛书:肉鸽养殖
- 愿得一心人 白头不相离 9787506493512 中国纺织出版社
- 乐器的故事-指尖上的探索-第七辑-A本
- 实用阿尔班小号-短号教程下册包括次中上低音号指法音阶程长吐节奏练习音乐术语入门提高曲初自学
- 奥秘探索 世界未解之谜 9787558115431 李丽-RT
- 左手老公右手孩儿 9787504856074 农村读物出版社
- 树:全世界300种树的彩色图鉴(超值全彩白金版)
- 巴斯蒂安的音乐派对A级 套装共3册 巴斯蒂安钢琴启蒙教程
- 美宇宙全纪录 刘佳辉