Introductory Mathematical Economics by D. Wade Hands

Introductory Mathematical Economics

byD. Wade Hands

Hardcover | July 30, 2003

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A strong relationship clearly exists between mathematics and modern economics; mathematics helps extend and formalize economic theory, and quantitative economic data influences the development and refinement of mathematical models. In Introductory Mathematical Economics, 2/e, author D. WadeHands introduces students to a variety of new mathematical tools and explains how to apply those tools to a broad range of economic problems. The book begins with an overview of the necessary mathematical background, then presents a number of more advanced mathematical tools that allow students toexpand their knowledge of economics. It offers a mix of classical and contemporary economic theory, covering the standard mathematical techniques such as optimization and comparative statics, as well as more specialized topics such as uncertainty, dynamics, nonlinear programming, and matrix theory. Thoroughly revised and updated, this second edition offers students a wide range of mathematical techniques and the associated economic theory. The new Chapter 0, a mathematical review covering all prerequisite mathematics, serves as both a precourse mathematics refresher and a handy reference.All end-of-chapter problems are economics problems; many are detailed and require a substantial amount of economic interpretation in addition to the technical analysis. These problems have been revised and expanded in this second edition. Boxes in each chapter provide economic examples of relevantmathematical concepts. Several boxes discuss recent developments in economic theory, while others present results that influenced the evolution of modern economics. Featuring a clear and concise presentation of mathematical and economic concepts, Introductory Mathematical Economics, 2/e, is idealfor undergraduate courses in mathematical economics.

About The Author

Wade Hands is at University of Puget Sound.

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Title:Introductory Mathematical EconomicsFormat:HardcoverDimensions:400 pages, 6.18 × 9.21 × 0.98 inPublished:July 30, 2003Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0195133781

ISBN - 13:9780195133783

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Table of Contents

Starting with Chapter 1, each chapter ends with Problems and Notes.Mathematical NotationMathematical SymbolsThe Greek AlphabetChapter 0: Review of Mathematics0.1. Some Basic Mathematical Concepts0.2. Calculus0.3. Matrices and Related TopicsChapter 1: Economic Applications of One-Variable Calculus1.1. Applications of One-Variable Calculus from Introductory Economics1.2. Optimization Examples from Introductory Economics1.3. An Introduction to Concavity and ConvexityChapter 2: Economic Applications of Multivariate Calculus2.1. Partial Derivatives and the Total Difference in Economics2.2. Homogeneous Functions2.3. Homothetic Functions2.4. Concave Functions in n VariablesChapter 3: Comparative Statics I: One and Two Variables with and without Optimization3.1. Equilibrium Comparative Statics in One and Two Dimensions3.2. Comparative Statics with Optimization in One and Two Dimensions3.3. Comparative Statics with Both Equilibrium and OptimizationChapter 4: Integration, Time, and Uncertainty in Economics4.1. Integration4.2. Time4.3. UncertaintyChapter 5: Introduction to Continuous Time Dynamics in One and Two Dimensions5.1. Single-Market Competitive Equilibrium5.2. Examples of One-Variable Dynamic Economic Models5.3. Multiple-Market Competitive Equilibrium5.4. A Macroeconomic Example5.5. An Alternative Notion of StabilityChapter 6: Matrices and Economic Theory6.1. Submatrices and Minors6.2. Cramer's Rule in Economics6.3. Inverse- and Implicit-Function Theorems6.4. A Special Class of Matrices: M Matrices6.5. The Leontief Input-Output System6.6. Quadratic Forms and DefinitenessChapter 7: Comparative Statics II: n Variables with and without Optimization7.1. Equilibrium Comparative Statics in n Dimensions7.2. Comparative Statics with Optimization in n DimensionsChapter 8: Comparative Statics III: Optimization under Constraint8.1. The Lagrange Technique: First- and Second-Order Conditions8.2. A Specific Utility Function8.3. Choice between Labor and Leisure8.4. Comparative Statics from Constrained Optimization: Two Approaches8.5. Consumer Choice: The n -Good Case8.6. Additively Separable Utility FunctionsChapter 9. Inequality Constraints in Optimization Theory9.1. A Simple Inequality Constraint9.2. The General Kuhn-Tucker Theorem9.3. Economic Examples of Kuhn-Tucker Theory9.4. Linear ProgrammingReferencesAppendix: Answers to Selected ProblemsIndex