Foundations of Mathematical and Computational Economics

• Main Author: Dadkhah, Kamran (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Subjects: Game theory.; Economic theory.; Economics.; Economic Theory/Quantitative Economics/Mathematical Methods.; Game Theory, Economics, Social and Behav. Sciences.

This is a book on the basics of mathematics and computation and their uses in economics for modern day students and practitioners. The reader is introduced to the basics of numerical analysis as well as the use of computer programs such as Matlab and Excel in carrying out involved computations. Sect...

Table of Contents:

• Introduction
• Part I: Basic Concepts and Methods
• 1 Basic Mathematical Concepts and Methods
• 2 Basics of Computation
• 3 Basic Concepts and Methods of Probability Theory and Statistics
• Part II: Linear Algebra
• 4 Vectors
• 5 Matrix Algebra
• 6 Advance Topics in Matrix Algebra
• Part III: Calculus
• 7 Differentiation: Functions of One Variable
• 8 Differentiation: Functions of Several Variables
• 9 Taylor Expansion and Its Applications
• 10 Integration
• Part IV: Optimization
• 11 Static Optimization
• 12 Constrained Optimization
• 13 Dynamic Optimization
• Part V: Differential and Difference Equations
• 14 Differential Equations
• 15 Difference Equations
• 16 Systems of Differential Equations
• Index.