微积分及其在商业、经济、生命科学及社会科学中的应用(第9版)(影印版) / 海外优秀数学教材
作者: Raymond A.Barnett
出版时间:2005-04-01
出版社:高等教育出版社
- 高等教育出版社
- 9787040162318
- 9版
- 112363
- 47221017-8
- 平装
- 异16开
- 2005-04-01
- 650
- 673
- 理学
- 数学
- O172
- 工学、管理学
《微积分及其在商业经济生命科学及社会科学中的应用(第9版影印版)》从Pearson出版公司引进,是一本优秀经典教材。《微积分及其在商业经济生命科学及社会科学中的应用(第9版影印版)》从图形、数值、解析式和文字语言的不同角度讲解主要概念,并强调应用背景。《微积分及其在商业经济生命科学及社会科学中的应用(第9版影印版)》配备了较为丰富的习题,包括一些思考题供讨论,文中有提醒学生注意的重要内容标记,以及启发学生学习兴趣的数学史的传记;在概念的引入上较有特色,不强调解题技巧。
《微积分及其在商业经济生命科学及社会科学中的应用(第9版影印版)》内容包括:初等函数,微分,图形和最值,导数,积分,积分的几个专题,多重积分,三角函数的导数与微分等等。
此书用英语编写了微积分在商业、经济、生命科学及社会科学中的应用,并参考国内相关专业的课程设置和教学实际情况,结合各高校的双语教学,是一本实用性很强的教材。
PART ONE A Library of Elementary Functions
CHAPTER 1 A Beginning Library of Elementary Functions
1-1 Functions
1-2 Elementary Functions: Graphs and Transformations
1-3 Linear Functions and Straight Lines
1-4 Quadratic Functions
Important Terms and Symbols
Review Exercise
Group Activity 1: Introduction to Regression Analysis
Group Activity 2: Mathematical Modeling in Business
CHAPTER 2 Additional Elementary Functions
2-1 Polynomial and Rational Functions
2-2 Exponential Functions
2-3 Logarithmic Functions
Important Terms and Symbols
Review Exercise
Group Activity 1: Comparing the Growth of Exponential and Polynomial Functions, and Logarithmic and Root Functions
Group Activity 2: Comparing Regression Models
PART TWO Calculus
CHAPTER 3 The Derivative
3-1 Rate of Change and Slope
3-2 Limits
3-3 The Derivative
3-4 Derivatives of Constants, Power Forms, and Sums
3-5 Derivatives of Products and Quotients3-6 Chain Rule: Power Form
3-7 Marginal Analysis in Business and Economics
Important Terms and Symbols
Summary of Rules of Differentiation
Review Exercise
Group Activity 1: Minimal Average Cost
Group Activity 2: Numerical Differentiation on a Graphing Utility
CHAPTER 4 Graphing and Optimization
4-1 Continuity and Graphs
4-2 First Derivative and Graphs
4-3 Second Derivative and Graphs
4-4 Curve Sketching Techniques: Unified and Extended
4-5 Optimization: Absolute Maxima and Minima
Important Terms and Symbols
Review Exercise
Group Activity 1: Maximizing Profit
Group Activity 2: Minimizing Construction Costs
CHAPTER 5 Additional Derivative Topics
5-1 The Constant e and Continuous Compound Interest
5-2 Derivatives of Logarithmic and Exponential Functions
5-3 Chain Rule: General Form
5-4 Implicit Differentiation
5-5 Related Rates
Important Terms and Symbols
Additional Rules of Differentiation
Review Exercise
Group Activity 1: Elasticity of Demand
Group Activity 2: Point of Diminishing Returns
CHAPTER 6 Integration
6-1 Antiderivatives and Indefinite Integrals
6-2 Integration by Substitution
6-3 Differential Equations; Growth and Decay
6-4 Geometric-Numeric Introduction to the Definite Integral
6-5 Definite Integral as a Limit of a Sum: Fundamental Theorem of Calculus
Important Terms and Symbols
Integration Formulas and Properties
Review Exercise
Group Activity 1: Simpson's Rule
Group Activity 2: Bell-Shaped Curves
CHAPTER 7 Additional Integration Topics
7-1 Area Between Curves
7-2 Applications in Business and Economics
7-3 Integration by Parts
7-4 Integration Using Tables
Important Terms and Symbols
Review Exercise
Group Activity 1: Analysis of Income Concentration from Raw Data
Group Activity 2: Grain Exchange
CHAPTER 8 Multivariable Calculus
8-1 Functions of Several Variables
8-2 Partial Derivatives
8-3 Maxima and Minima
8-4 Maxima and Minima Using Lagrange Multipliers
8-5 Method of Least Squares
8-6 Double Integrals over Rectangular Regions
Important Terms and Symbols
Review Exercise
Group Activity 1: City Planning
Group Activity 2: Numerical Integration of Multivariate Functions
CHAPTER 9 Trigonometric Functions
9-1 Trigonometric Functions Review
9-2 Derivatives of Trigonometric Functions
9-3 Integration of Trigonometric Functions
Important Terms and Symbols
Review Exercise
Group Activity 1: Seasonal Business Cycles
Group Activity 2: Heating Degree Days
APPENDIX A Basic Algebra Review
Self-Test on Basic Algebra
A-1 Sets
A-2 Algebra and Real Numbers
A-3 Operations on Polynomials
A-4 Factoring Polynomials
A-5 Operations on Rational Expressions
A-6 Integer Exponents and Scientific Notation
A-7 Rational Exponents and Radicals
A-8 Linear Equations and Inequalities in One Variable
A-9 Quadratic Equations
APPENDIX B Special Topics
B-1 Sequences, Series, and Summation Notation
B-2 Arithmetic and Geometric Sequences
B-3 The Binomial Theorem
APPENDIX C Tables
Table Ⅰ Basic Geometric Formulas
Table Ⅱ Integration Formulas
Answers A1
Index I1
Library of Elementary Functions Inside front cover
Applications Index Inside back cover