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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)

作者：
Raymaond A. Rarnett
定价：
90.00元
ISBN：
978-7-04-016231-8
版面字数：
800.000千字
开本：
16开
全书页数：
673页
装帧形式：
平装
重点项目：
暂无
出版时间：
2005-04-01
物料号：
16231-00
读者对象：
高等教育
一级分类：
数学与统计学类
二级分类：
经管类专业数学基础课
三级分类：
微积分

《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
      • 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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