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" Mathematics for economics and business : "
Jean Soper.
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BL
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| Record Number
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845154
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| Main Entry
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Soper, Jean.
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| Title & Author
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Mathematics for economics and business : : an interactive introduction /\ Jean Soper.
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| Edition Statement
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2nd ed.
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| Publication Statement
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Malden, MA :: Blackwell Pub.,, 2004.
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| Page. NO
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xxiv, 404 pages :: illustrations ;; 26 cm ++ 1 CD-ROM (4 3/4 in.)
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| ISBN
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1405111267
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: 1405111275
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: 9781405111263
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: 9781405111270
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| Notes
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Includes index.
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| Bibliographies/Indexes
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Includes index.
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| Contents
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Preface -- How to use this book -- List of screens from MathEcon CD Rom -- Chapter 1: Functions in Economics -- Section 1.1: Introduction -- Section 1.2: Coordinates and Graphs -- Section 1.3: Variables and Functions -- Section 1.4: Basic Rules of Algebra -- Section 1.5: Fractions and Sharing -- Section 1.6: Powers and Indices -- Section 1.7: Functions of More Than One Variable -- Section 1.8: Economic Variables and Functions -- Section 1.9: Total and Average Revenue -- Section 1.10: Total and Average Cost -- Section 1.11: Profit -- Section 1.12: Production Functions, Isoquants and the Average Product of Labour -- Section 1.13 Functions in Excel -- Chapter 1 Answers to Practice Problems -- Chapter 2: Equations in Economics -- Section 2.1: Introduction -- Section 2.2: Rewriting and Solving Equations -- Section 2.3: Substitution -- Section 2.4: Demand and Supply -- Section 2.5: Cost -- Volume -- Profit Analysis -- Section 2.6: Linear Equations -- Section 2.7: Budget Lines -- Section 2.8: Constant Substitution Along a Line -- Section 2.9: Quadratic Equations -- Section 2.10: Intersection of MC with MR or AVC -- Section 2.11: Simultaneous Equations -- Section 2.12: Simultaneous Equilibrium in Related Markets -- Section 2.13: Exponential Functions -- Section 2.14: Logarithmic Functions -- Section 2.15: Plotting and solving equations in Excel -- Chapter 2 Answers to Practice Problems -- Chapter 3: Macroeconomic Models -- Section 3.1: Introduction -- Section 3.2: Notation and Model Specification -- Section 3.3: Identifying Equilibrium Income -- Section 3.4: Keynesian Cross Model -- Section 3.5: IS -- LM Analysis -- Chapter 3 Answers to Practice Problems -- Chapter 4: Changes, Rates, Finance and Series -- Section 4.1: Introduction -- Section 4.2: Percentage Changes -- Section 4.3: Simple and Compound Interest -- Section 4.4: Annual Equivalent Rate -- Section 4.5: Nominal and Real Interest Rates -- Section 4.6: Growth Rates and Logarithms -- Section 4.7: Depreciation -- Section 4.8: Net Present Value -- Section 4.9: Series -- Section 4.10: Savings and Loans with Regular Payments -- Section 4.11: Prices of Bills and Bonds and the Rate of Interest -- Section 4.12 Financial calculations with Excel -- Chapter 4 Answers to Practice Problems -- Chapter 5: Differentiation in Economics -- Section 5.1: Introduction -- Section 5.2: Using Differentiation in Economics -- Section 5.3: The Basic Rules of Differentiation -- Section 5.4: Application to Economic Analysis -- Section 5.5: Utility Functions -- Section 5.6: Revenue Functions -- Section 5.7: Short-run Production Functions -- Section 5.8: Cost Functions -- Section 5.9: Point Elasticity of Demand and of Supply -- Section 5.10: Investment Multiplier -- Chapter 5 Answers to Practice Problems -- Chapter 6: Maximum and Minimum Values -- Section 6.1: Introduction -- Section 6.2: Identifying Maximum and Minimum Turning Points -- Section 6.3: Maximum Total Revenue -- Section 6.4: Maximum Profit -- Section 6.5: Minimum Average Cost -- Section 6.6: Average and Marginal Product of Labour -- Section 6.7: Tax Rate which Maximizes Tax Revenue -- Section 6.8: Minimizing Total Inventory Costs -- Chapter 6 Answers to Practice Problems -- Chapter 7: Further Rules of Differentiation -- Section 7.1: Introduction -- Section 7.2: The Chain Rule -- Section 7.3: The Product Rule -- Section 7.4: The Quotient Rule -- Section 7.5: Marginal Revenue, Price Elasticity and Maximum Total Revenue -- Section 7.6: Optimal Production and Cost Relationships -- Section 7.7: Exponential and Natural Logarithmic Functions -- Section 7.8: Applications to Economic Analysis -- Chapter 7 Answers to Practice Problems -- Chapter 8: Partial Differentiation in Economics -- Section 8.1: Introduction -- Section 8.2: Partial Derivatives -- Section 8.3: Small Increments Formula -- Section 8.4: Multipliers -- Section 8.5: Differentials and Implicit Differentiation -- Section 8.6: Slope of an Indifference Curve -- Section 8.7: Elasticities -- Section 8.8: Logarithmic Demand Functions -- Section 8.9: Long-run Production Functions -- Section 8.10: Second Order Partial Derivatives -- Section 8.11: Optimization of Multivariate Functions -- Section 8.12: Price Discriminating Monopoly -- Chapter 8 Answers to Practice Problems -- Chapter 9: Constrained Maxima and Minima -- Section 9.1: Introduction -- Section 9.2: Substitution Method -- Section 9.3: Lagrange Multiplier Method -- Chapter 9 Answers to Practice Problems -- Chapter 10: Integration in Economics -- Section 10.1: Introduction -- Section 10.2: Rules of Integration -- Section 10.3: Finding Total Functions from Marginal Functions -- Section 10.4: Area Under a Curve -- Section 10.5: Definite Integrals in Economics -- Chapter 10 Answers to Practice Problems -- Chapter 11 Linear Programming -- Section 11.1: Introduction -- Section 11.2: Formulating linear programming problems -- Section 11.3: Graphical solution -- Section 11.4: The optimal solution and the feasible set -- Section 11.5: Using Excel Solver -- Chapter 11 Answers to Practice Problems -- Chapter 12 Matrices in Economics -- Section 12.1: Introduction -- Section 12.2: Matrices and vectors -- Section 12.3: Matrix addition and subtraction -- Section 12.4: Multiplication of matrices -- Section 12.5: Handling equation systems -- Section 12.6: Determinants -- Section 12.7: Matrix inversion -- Section 12.8: Systems of equations in economics -- Section 12.9: Matrix operations in Excel -- Chapter 12 Answers to Practice Problems -- Index.
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| Abstract
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"Now in its second edition, this text offers an ideal introduction for economics and business students seeking to understand the mathematics relevant to them. Each chapter demonstrates basic mathematical techniques, while also explaining the economic analysis and business context where each technique is regularly used. By following examples and practice problems, students will learn how to use and apply each of these methods." "This updated edition features expanded summaries of economic analysis, new sections on matrix algebra and linear programming, and additional demonstrations of economics applications. Along with these new features, the book continues to separate mathematical models and economics applications into discrete sections, allowing the student to learn the mathematics needed, or proceed immediately to the economics examples." "The attached CD-ROM includes the award-winning WinEcon software, Excel files demonstrating calculations involving the use of array formulae and Solver, PowerPoint slides of definitions and "remember" boxes, and many additional practice questions."--Jacket.
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| Subject
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Business mathematics.
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Economics, Mathematical.
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Mathématiques économiques.
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Mathématiques financières.
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Business mathematics.
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Economics, Mathematical.
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Bedrijfskunde.
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Economie.
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Wiskunde.
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Wiskundige economie.
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| Dewey Classification
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519.5
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| LC Classification
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HB135.S573 2004
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| NLM classification
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83.03bcl
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85.03bcl
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F224clc
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HM 300 SOP.uk-btusl
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