应用微积分：管理、生命科学及社会科学专业适用英文版

定　价：¥89.00

作　者：	（美）S.T.坦（S.T.Tan）著
出版社：	机械工业出版社
丛编项：	时代教育·国外高校优秀教材精选
标　签：	微积分

购买这本书可以去

ISBN：	9787111140115	出版时间：	2004-04-01	包装：	平装
开本：	26cm	页数：	948	字数：

内容简介

　　本书叙述了一元函数微积分、二元函数微分学和二重积分，简单介绍了常微分方程和级数，还讲述了概率的基本知识。作者在修订本版时有两个目的：其一是给学生写一本易读好用的教材，其二是给教师提供一个非常有用的教学工具。所以，作者在本版中采纳了前4版读者的意见，同时有选择地、尽可能完整地加入了最新方法、最新实例。其内容符合我国经济管理专业的要求，对文科各专业也基本适用。书中的数学概念、方法、理论都是通过具体直观的过程引入的，没有较严密的推理过程，所以这是一本“直观微积分”的书，这种方式的讲述对文科各专业学生是十分适宜的，可能会使他们获益更多，对管理类专业也基本适合。书中采用对函数类分层叙述的方法，先对有理函数介绍微分学，后对指数、对数函数叙述，最后介绍对三角函数的微积分，这种方式特别适用于文科学生。本书例题、习题十分丰富，包括了从经济、贸易、社会行为学、生命科学、物理学和其他科学领域中提炼出的最新的、有趣的应用。而且本书插图精美，可帮助学生理解相应内容。总之，本书适宜作为文科各专业和某些经济管理专业的本科“微积分”教材。

作者简介

暂缺《应用微积分：管理、生命科学及社会科学专业适用英文版》作者简介

图书目录

出版说明
序
Chapter 1 PRELIMINARIES
1.1 Precalculua Review I
1.2 Precalculus Review II
1.3 The Cartesian Coordinate System
1.4 Straight Lines
Chapter I Summary of Principal Formulas and Terms
Chapter 1 Review Exercises
Chapter 2 FUNCTIONS， LIMITS， AND THE DERIVATIVE
2.1 Functions and Their Graphs
Using Technology： Graphing a Function
2.2 The Algebra of Functions
PORTFOLIO： Michael Marchlik
2.3 Functions and Mathematical Models
Using Technology： Finding the Points of Intersection of Two Graphs and Modeling
2.4 Limits
Using Technology： Finding the Limit of a Function
2.5 One.Sided Limits and Continuity
Using Technology： Finding the Points of Discontinuity of
a Function
2.6 TheDerivetive
Using Technology： Graphing a Function and Its Tangent Lines
Chapter 2 Summary of Principal Formulas and Terms
Chapter 2 Review Exercises
Chapter 3 DIFFERENTIATION
3.1 Basic Rules of Differentiation
Using Technology： Finding the Rate of Change of a Function
3.2 The Product and Quotient Rules
Using Technology： The Product and Quotient Rules
3.3 The Chain Rule
Using Technology： Finding the Derivative of a
Composite Function
3.4 Marginal Functions in Economics
3.5 Higher-Order Derivatives
Using Technology： Finding the Second Derivative of a Function at a
Given Point
3.6 Implicit Differentiation and Related Rates
3.7 Differentials
PORTFOLIO： John Decker
Using Technology： Finding the Differential of a Function
Chapter 3 Summary of.Principal Formulas and Tems
Chapter 3 Review Exercises
Chapter 4 APPLICATIONS OF THE DERIVATIVE
4，1 Applications of the First Derivative
Using Technology： Using the First Derivative to Analyze
a Function
4.2 Applications of the Second Derivative
Using Technology： Finding the Inflection Points of a Function
4.3 Curve Sketching
Using Technology： Analyzing the Properties of a Function
4，4 Optimization Ⅰ
Using Technology： Finding the Absolute Extrema of a Function
4.5 Optimization Ⅱ
Chapter 4 Summary of Principal Terms
Chapter 4 Review Exercises
Chapter 5 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
8.1 Exponential Functions
Using Technology
5.2 Logarithmic Functions
5.3 Compound Interest
PORTFOLIO： Misato Nakazaki
5.4 Differentiation of Exponential Functions
Using Technology
5.5 Differentiation ef Logarithmic Functions
5.6 Exponential Functions as Mathematical Models
Chapter 5 Summary of Principal Formulas and Terms
Chapter 5 Revue Exercises
Chapter 6 INTEGRATION
6.1 Antiderlvatlues and the Rules of Integration
6.2 Integration by Substitution
6.3 Area and the Definite Integral
6.4 The Fundamental Theorem of Calculus
Using Technology： Evaluating Definite Integrals
6.5 Evaluating Definite Integrals
Using Technology： Evaluating Definite Integrals for
Piecewise-Defined Functions
6.6 Area Between Two Curves
Using Technology： Finding the Area Between Two Curves
6.7 Applications of the Definite Integral to Business and Economics
Using Technology： Consumers Surplus and Producers Surplus
6.8 Volumes of Solids of Revolution
Chapter 6 Summary of Principal Formulas and Terms
Chapter 6 Review Exercises
Chapter 7 ADDITIONAL TOPICS IN INTEGRATION
7.1 Integration by Parts
7.2 Integration Using Tables of Integrals
7.3 Numerical Integration
PORTFOLIO： James H. Chesebro， M.D.
7，4 Improper Integrals
Chapter 7 Summary of Principal Formulas and Terms
Chapter 7 Review Exercises
Chapter 8 CALCULUS OF SEVERAL VARIABLES
8.1 Functions of Several Variables
8.2 Partial Derlvativas
Using Technology： Finding Partial Derivatives at a Given Point
8，3 Maxima and Minima of Functions of Several Variables
8.4 The Method of Least Squares
Using Technology： Finding an Equation of a Least-Squares Line
8.5 Constrained Maxima and Minima and the Method of
Lagrange Multipliers
8.8 Total Differentials
8.7 Double Integrals
8.8 Applications of Double Integrals
Chapter 8 Summary of Principal Terms
Chapter 8 Review Exercises
Chapter 9 DIFFERENTIAL EQUATIONS
9.1 Differential Equations
9.2 Separation of Variables
9.3 Applications of Separable Differential Equations
9.4 Approximate Solutions of Differential Equations
Chapter 9 Summary of Principal Terms
Chapter 9 Review Exercises
Chapter 10 PROBABILITY AND CALCULUS
10.1 Probability Distributions of Random Variables
Using Technology： Graphing a Histogram
10，2 Expected Value and Standard Deviation
Using Technology： Finding the Mean and Standard Deviation
10.3 Normal Distributions
Chapter IO Summary of Principal Formulas and Terms
Chapter I0 Review Exercises
Chapter 11 TAYLOR POLYNOMIALS AND INFINITE SERIES
11.1 Taylor Polynomials
11.2 Infinite Sequences
11，3 Infinite Series
11.4 Series with Positive Terms
11.5 Power Series and Taylor Series
11.6 More on Taylor Series
11.7 The Newton-Raphson Method
Chapter 11 Summary of Principal Formulas and Terms
Chapter 11 Review Exercises
Chapter 12 TRIGONOMETRIC FUNCTIONS
12.1 Measurement of Angles
12.2 The Trigonometric Functions
12.3 Differentiation of Trigonometric Functions Using Technology： Analyzing Trigonometric Functions
12.4 Integration of Trigonometric Functions Using Technology： Evaluating Integrals of Trigonometric Functions
Chapter 12 Summary of Principal Formulas and Terms
Chapter 12 Review Exercises
TABLE
The Standard Normal Distribution
ANSWERS TO ODD-NUMBERED EXERCISES
INDEX
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