Fundamental methods of mathematical economics
Author(s)
Bibliographic Information
Fundamental methods of mathematical economics
McGraw-Hill, c1984
3rd ed., McGraw-Hill international ed
- : pbk.
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Note
Bibliography: p. 760-762
Includes index
Description and Table of Contents
- Volume
-
ISBN 9780070108134
Description
The best-selling, best known text in Mathematical Economics course, Chiang teaches the basic mathematical methods indispensable for understanding current economic literature. the book's patient explanations are written in an informal, non-intimidating style. To underscore the relevance of mathematics to economics, the author allows the economist's analytical needs to motivate the study of related mathematical techniques; he then illustrates these techniques with appropriate economics models. Graphic illustrations often visually reinforce algebraic results. Many exercise problems serve as drills and help bolster student confidence. These major types of economic analysis are covered: statics, comparative statics, optimization problems, dynamics, and mathematical programming. These mathematical methods are introduced: matrix algebra, differential and integral calculus, differential equations, difference equations, and convex sets.
Table of Contents
1. The Nature of Mathematical Economics 2. Economic Models3. Equilibrium Analysis in Economics4. Linear Models and Matrix Algebra5. Linear Models and Matrix Algebra (Part II)6. Comparative Statics and the Concept of Derivitive7. Rules of Differentiation and Their Use in Comparative Statics8. Comparative-Static Analysis of General Function Models9. Optimization: A Special Variety of Equilibrium Analysis10. Exponential and Logarithmic Functions11. The Case of More than Once Choice Variable12. Optimization with Equality Constraints13. Economic Dymamics and Integral Calculus14. Continuous Time: First Order Differential Equations15. Higher Order Differential Equations16. Discrete Time: First Order Difference Equations17. Higher Order Difference Equations18. Simultaneous Differential Equations and Difference Equations19. Linear Programming20. Linear Programming (Continued)21. Non-Linear Programming
- Volume
-
: pbk. ISBN 9780070662193
Description
To underscore the relevance of mathematics to economics, the author allows the economist's analytical needs to motivate the study of related mathematical techniques; he then illustrates these techniques with appropriate economics models. Graphic illustrations often visually reinforce algebraic results. Many exercise problems serve as drills and help bolster student confidence. These major types of economic analysis are covered: statics, comparative statics, optimization problems, dynamics, and mathematical programming. These mathematical methods are introduced: matrix algebra, differential and integral calculus, differential equations, difference equations, and convex sets.
Table of Contents
1. The Nature of Mathematical Economics 2. Economic Models3. Equilibrium Analysis in Economics4. Linear Models and Matrix Algebra5. Linear Models and Matrix Algebra (Part II)6. Comparative Statics and the Concept of Derivitive7. Rules of Differentiation and Their Use in Comparative Statics8. Comparative-Static Analysis of General Function Models9. Optimization: A Special Variety of Equilibrium Analysis10. Exponential and Logarithmic Functions11. The Case of More than Once Choice Variable12. Optimization with Equality Constraints13. Economic Dymamics and Integral Calculus14. Continuous Time: First Order Differential Equations15. Higher Order Differential Equations16. Discrete Time: First Order Difference Equations17. Higher Order Difference Equations18. Simultaneous Differential Equations and Difference Equations19. Linear Programming20. Linear Programming (Continued)21. Non-Linear Programming
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