Mathematics for economics and business : an interactive introduction / Jean Soper.
By: Soper, Jean.
Material type:
BookPublisher: Malden, MA : Blackwell Pub., 2004Edition: 2nd ed.Description: xxiv, 404 p.: ill. ; 26 cm. + 1 CD-ROM (4 3/4 in.).ISBN: 9781405111270; 1405111275; 9781405111263.Subject(s): Economics, Mathematical| Item type | Current library | Call number | Status | Barcode | |
|---|---|---|---|---|---|
| General lending | MTU Kerry North Campus Library First Floor Main | 519.5 SOP (Browse shelf(Opens below)) | Available | 38888000644991 | |
| General lending | MTU Kerry North Campus Library First Floor Main | 519.5 SOP (Browse shelf(Opens below)) | Available | 38888000644983 | |
| General lending | MTU Kerry North Campus Library First Floor Main | 519.5 SOP (Browse shelf(Opens below)) | Available | 38888000644850 | |
| General lending | MTU Kerry North Campus Library First Floor Main | 519.5 SOP (Browse shelf(Opens below)) | Available | 38888000644975 |
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Enhanced descriptions from Syndetics:
This text offers the ideal approach 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 is used. By following the worked examples and tackling the practice problems, students will discover how to use and apply each of these techniques. Now in its second edition, the text features expanded summaries of economic analysis, new sections on matrix algebra and linear programming, and additional demonstrations of economics applications.
Demonstrates mathematical techniques while explaining their economic and business applications Engages the reader with numerous worked examples and practice problems Features new sections on matrix algebra and linear programming Includes a companion website with the book, containing the award winning MathEcon software, Excel files, Powerpoint slides, all definitions and 'remember boxes', and additional practice questions
Includes index.
In this volume Jean Soper demonstrates mathematical techniques while explaining their economic and business applications. This edition features sections on matrix algebra and linear programming.
Table of contents provided by Syndetics
- Preface (p. ix)
- Features of the Book (p. xii)
- List of MathEcon Screens (p. xvii)
- List of Excel Worksheets (p. xxiii)
- 1 Functions in Economics (p. 1)
- 1.1 Introduction (p. 1)
- 1.2 Coordinates and Graphs (p. 2)
- 1.3 Variables and Functions (p. 5)
- 1.4 Basic Rules of Algebra (p. 12)
- 1.5 Fractions and Sharing (p. 22)
- 1.6 Powers and Indices (p. 29)
- 1.7 Functions of More Than One Variable (p. 33)
- 1.8 Economic Variables and Functions (p. 34)
- 1.9 Total and Average Revenue (p. 35)
- 1.10 Total and Average Cost (p. 38)
- 1.11 Profit (p. 41)
- 1.12 Production Functions, Isoquants and the Average Product of Labour (p. 42)
- 1.13 Functions in Excel (p. 45)
- Chapter 1 Answers to Practice Problems (p. 53)
- 2 Equations in Economics (p. 61)
- 2.1 Introduction (p. 61)
- 2.2 Rewriting and Solving Equations (p. 62)
- 2.3 Substitution (p. 67)
- 2.4 Demand and Supply (p. 68)
- 2.5 Cost-Volume-Profit Analysis (p. 76)
- 2.6 Linear Equations (p. 78)
- 2.7 Budget Lines (p. 84)
- 2.8 Constant Substitution Along a Line (p. 87)
- 2.9 Quadratic Equations (p. 88)
- 2.10 Intersection of MC with MR or AVC (p. 91)
- 2.11 Simultaneous Equations (p. 94)
- 2.12 Simultaneous Equilibrium in Related Markets (p. 96)
- 2.13 Exponential Functions (p. 99)
- 2.14 Logarithmic Functions (p. 103)
- 2.15 Plotting and Solving Equations in Excel (p. 106)
- Chapter 2 Answers to Practice Problems (p. 112)
- 3 Macroeconomic Models (p. 121)
- 3.1 Introduction (p. 121)
- 3.2 Notation and Model Specification (p. 122)
- 3.3 Identifying Equilibrium Income (p. 130)
- 3.4 Keynesian Cross Model (p. 131)
- 3.5 IS-LM Analysis (p. 136)
- Chapter 3 Answers to Practice Problems (p. 142)
- 4 Changes, Rates, Finance and Series (p. 147)
- 4.1 Introduction (p. 147)
- 4.2 Percentage Changes (p. 149)
- 4.3 Simple and Compound Interest (p. 152)
- 4.4 Annual Equivalent Rate (p. 157)
- 4.5 Nominal and Real Interest Rates (p. 160)
- 4.6 Growth Rates and Logarithms (p. 162)
- 4.7 Depreciation (p. 165)
- 4.8 Net Present Value (p. 167)
- 4.9 Series (p. 171)
- 4.10 Savings and Loans with Regular Payments (p. 173)
- 4.11 Prices of Bills and Bonds and the Rate of Interest (p. 178)
- 4.12 Financial Calculations with Excel (p. 180)
- Chapter 4 Answers to Practice Problems (p. 184)
- 5 Differentiation in Economics (p. 187)
- 5.1 Introduction (p. 187)
- 5.2 Using Differentiation in Economics (p. 188)
- 5.3 The Basic Rules of Differentiation (p. 190)
- 5.4 Application to Economic Analysis (p. 201)
- 5.5 Utility Functions (p. 201)
- 5.6 Revenue Functions (p. 204)
- 5.7 Short-run Production Functions (p. 208)
- 5.8 Cost Functions (p. 210)
- 5.9 Point Elasticity of Demand and of Supply (p. 213)
- 5.10 Investment Multiplier (p. 221)
- Chapter 5 Answers to Practice Problems (p. 223)
- 6 Maximum and Minimum Values (p. 227)
- 6.1 Introduction (p. 227)
- 6.2 Identifying Maximum and Minimum Turning Points (p. 228)
- 6.3 Maximum Total Revenue (p. 232)
- 6.4 Maximum Profit (p. 234)
- 6.5 Minimum Average Cost (p. 239)
- 6.6 Average and Marginal Product of Labour (p. 241)
- 6.7 Tax Rate which Maximizes Tax Revenue (p. 243)
- 6.8 Minimizing Total Inventory Costs (p. 244)
- Chapter 6 Answers to Practice Problems (p. 246)
- 7 Further Rules of Differentiation (p. 249)
- 7.1 Introduction (p. 249)
- 7.2 The Chain Rule (p. 250)
- 7.3 The Product Rule (p. 251)
- 7.4 The Quotient Rule (p. 253)
- 7.5 Marginal Revenue, Price Elasticity and Maximum Total Revenue (p. 254)
- 7.6 Optimal Production and Cost Relationships (p. 257)
- 7.7 Exponential and Natural Logarithmic Functions (p. 262)
- 7.8 Applications to Economic Analysis (p. 264)
- Chapter 7 Answers to Practice Problems (p. 265)
- 8 Partial Differentiation in Economics (p. 270)
- 8.1 Introduction (p. 270)
- 8.2 Partial Derivatives (p. 271)
- 8.3 Small Increments Formula (p. 273)
- 8.4 Multipliers (p. 275)
- 8.5 Differentials and Implicit Differentiation (p. 282)
- 8.6 Slope of an Indifference Curve (p. 284)
- 8.7 Elasticities (p. 287)
- 8.8 Logarithmic Demand Functions (p. 289)
- 8.9 Long-run Production Functions (p. 290)
- 8.10 Second Order Partial Derivatives (p. 295)
- 8.11 Optimization of Multivariate Functions (p. 297)
- 8.12 Price Discriminating Monopoly (p. 299)
- Chapter 8 Answers to Practice Problems (p. 302)
- 9 Constrained Maxima and Minima (p. 307)
- 9.1 Introduction (p. 307)
- 9.2 Substitution Method (p. 308)
- 9.3 Lagrange Multiplier Method (p. 311)
- Chapter 9 Answers to Practice Problems (p. 315)
- 10 Integration in Economics (p. 320)
- 10.1 Introduction (p. 320)
- 10.2 Rules of Integration (p. 321)
- 10.3 Finding Total Functions from Marginal Functions (p. 325)
- 10.4 Area Under a Curve (p. 328)
- 10.5 Definite Integrals in Economics (p. 331)
- Chapter 10 Answers to Practice Problems (p. 333)
- 11 Linear Programming (p. 336)
- 11.1 Introduction (p. 336)
- 11.2 Formulating Linear Programming Problems (p. 337)
- 11.3 Graphical Solution (p. 339)
- 11.4 The Optimal Solution and the Feasible Set (p. 343)
- 11.5 Using Excel Solver (p. 344)
- 11.6 Sensitivity Analysis (p. 348)
- 11.7 Minimization Subject to Constraints (p. 349)
- Chapter 11 Answers to Practice Problems (p. 353)
- 12 Matrices in Economics (p. 357)
- 12.1 Introduction (p. 357)
- 12.2 Matrices and Vectors (p. 358)
- 12.3 Matrix Addition and Subtraction (p. 361)
- 12.4 Multiplication of Matrices (p. 362)
- 12.5 Handling Equation Systems (p. 373)
- 12.6 Determinants (p. 377)
- 12.7 Matrix Inversion (p. 382)
- 12.8 Systems of Equations in Economics (p. 386)
- 12.9 Matrix Operations in Excel (p. 388)
- Chapter 12 Answers to Practice Problems (p. 393)
- Index (p. 399)