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