基本信息·出版社：Oxford University Press, USA ·页码：400 页 ·出版日期：2003年07月 ·ISBN：0195133781 ·条形码：9780195133783 ·版本：第2版 · ...
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Introductory Mathematical Economics |
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Introductory Mathematical Economics |
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基本信息·出版社：Oxford University Press, USA
·页码：400 页
·出版日期：2003年07月
·ISBN：0195133781
·条形码：9780195133783
·版本：第2版
·装帧：精装
·正文语种：英语
内容简介 在线阅读本书
Introductory Mathematical Economics, 2/e begins with an overview of necessary computational mathematics, then continues with a series of key economics problems using "higher mathematics." The book presents a mix of classical and contemporary economic theory, covering the problems of uncertainty, continuous-time dynamics, comparative statistics, and the applications of optimization methods to economics.
作者简介 Wade Hands is at University of Puget Sound.
目录 Starting with Chapter 1, each chapter ends with Problems and Notes.
Mathematical Notation
Mathematical Symbols
The Greek Alphabet
Chapter 0: Review of Mathematics
0.1. Some Basic Mathematical Concepts
0.2. Calculus
0.3. Matrices and Related Topics
Chapter 1: Economic Applications of One-Variable Calculus
1.1. Applications of One-Variable Calculus from Introductory Economics
1.2. Optimization Examples from Introductory Economics
1.3. An Introduction to Concavity and Convexity
Chapter 2: Economic Applications of Multivariate Calculus
2.1. Partial Derivatives and the Total Difference in Economics
2.2. Homogeneous Functions
2.3. Homothetic Functions
2.4. Concave Functions in n Variables
Chapter 3: Comparative Statics I: One and Two Variables with and without Optimization
3.1. Equilibrium Comparative Statics in One and Two Dimensions
3.2. Comparative Statics with Optimization in One and Two Dimensions
3.3. Comparative Statics with Both Equilibrium and Optimization
Chapter 4: Integration, Time, and Uncertainty in Economics
4.1. Integration
4.2. Time
4.3. Uncertainty
Chapter 5: Introduction to Continuous Time Dynamics in One and Two Dimensions
5.1. Single-Market Competitive Equilibrium
5.2. Examples of One-Variable Dynamic Economic Models
5.3. Multiple-Market Competitive Equilibrium
5.4. A Macroeconomic Example
5.5. An Alternative Notion of Stability
Chapter 6: Matrices and Economic Theory
6.1. Submatrices and Minors
6.2. Cramer's Rule in Economics
6.3. Inverse- and Implicit-Function Theorems
6.4. A Special Class of Matrices: M Matrices
6.5. The Leontief Input-Output System
6.6. Quadratic Forms and Definiteness
Chapter 7: Comparative Statics II: n Variables with and without Optimization
7.1. Equilibrium Comparative Statics in n Dimensions
7.2. Comparative Statics with Optimization in n Dimensions
Chapter 8: Comparative Statics III: Optimization under Constraint
8.1. The Lagrange Technique: First- and Second-Order Conditions
8.2. A Specific Utility Function
8.3. Choice between Labor and Leisure
8.4. Comparative Statics from Constrained Optimization: Two Approaches
8.5. Consumer Choice: The n -Good Case
8.6. Additively Separable Utility Functions
Chapter 9. Inequality Constraints in Optimization Theory
9.1. A Simple Inequality Constraint
9.2. The General Kuhn-Tucker Theorem
9.3. Economic Examples of Kuhn-Tucker Theory
9.4. Linear Programming
References
Appendix: Answers to Selected Problems
Index
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