Foundations of Mathematical and Computational Economics

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