Applied calculus for business, economics, and the social and life sciences

著者

書誌事項

Applied calculus for business, economics, and the social and life sciences

Laurence Hoffmann ... [et al.]

McGraw-Hill, Connect Learn Succeed, c2013

Expanded 11th ed

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注記

Other authr: Gerald Bradley, Dave Sobecki, Michael Price

Includes bibliographical references and indexes

内容説明・目次

内容説明

Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition provides a sound, intuitive understanding of the basic concepts students need as they pursue careers in business, economics, and the life and social sciences. Students achieve success using this text as a result of the author's applied and real-world orientation to concepts, problem-solving approach, straight forward and concise writing style, and comprehensive exercise sets. More than 100,000 students worldwide have studied from this text!

目次

  • Chapter 1: Functions, Graphs, and Limits1.1Functions1.2The Graph of a Function1.3Lines and Linear Functions1.4Functional Models1.5Limits1.6One-Sided Limits and ContinuityChapter 2: Differentiation: Basic Concepts2.1The Derivative2.2Techniques of Differentiation2.3Product and Quotient Rules
  • Higher-Order Derivatives2.4The Chain Rule2.5Marginal Analysis and Approximations Using Increments2.6Implicit Differentiation and Related RatesChapter 3: Additional Applications of the Derivative3.1 Increasing and Decreasing Functions
  • Relative Extrema3.2 Concavity and Points of Inflection3.3 Curve Sketching3.4 Optimization
  • Elasticity of Demand3.5 Additional Applied OptimizationChapter 4: Exponential and Logarithmic Functions4.1 Exponential Functions
  • Continuous Compounding4.2 Logarithmic Functions4.3 Differentiation of Exponential and Logarithmic Functions4.4 Additional Applications
  • Exponential ModelsChapter 5: Integration5.1 Indefinite Integration and Differential Equations5.2 Integration by Substitution5.3 The Definite Integral and the Fundamental Theorem of Calculus5.4 Applying Definite Integration: Distribution of Wealth and Average Value5.5 Additional Applications to Business and Economics5.6 Additional Applications to the Life and Social SciencesChapter 6: Additional Topics in Integration6.1 Integration by Parts
  • Integral Tables6.2 Numerical Integration6.3 Improper IntegralsChapter 7: Calculus of Several Variables7.1 Functions of Several Variables7.2 Partial Derivatives7.3 Optimizing Functions of Two Variables7.4 The Method of Least-Squares7.5 Constrained Optimization: The Method of Lagrange Multipliers7.6 Double IntegralsChapter 8: Trigonometric Functions8.1 Angle Measurement
  • Trigonometric Functions8.2 Trigonometric Applications Involving Differentiation8.3 Trigonometric Applications Involving IntegrationChapter 9: Differential Equations9.1 Modeling with Differential Equations9.2 First-Order Linear Differential Equations9.3 Additional Applications of Differential Equations9.4 Approximate Solutions of Differential Equations9.5 Difference Equations
  • The Cobweb ModelChapter 10: Infinite Series and Taylor Series Approximations10.1 Infinite Series
  • Geometric Series10.2 Tests for Convergence10.3 Functions as Power Series
  • Taylor SeriesChapter 11: Probability and Calculus11.1 Introduction to Probability
  • Discrete Random Variables11.2 Continuous Probability Distributions11.3 Expected Value and Variance of Continuous Random Variables10.4 Normal and Poisson Probability DistributionsAppendix A: Algebra ReviewA.1 A Brief Review of AlgebraA.2 Factoring Polynomials and Solving Systems of EquationsA.3 Evaluating Limits with L'Hopital's RuleA.4 The Summation Notation

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詳細情報

  • NII書誌ID(NCID)
    BB14570700
  • ISBN
    • 9780073532370
  • LCCN
    2011015843
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York
  • ページ数/冊数
    xxiii, 1060 p.
  • 大きさ
    27 cm
  • 分類
  • 件名
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