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出版时间:2005-04-01

出版社:高等教育出版社

以下为《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)》的配套数字资源,这些资源在您购买图书后将免费附送给您:
  • 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
内容简介

《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。

目录

 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

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