Incluye referencias bibliográficas páginas 359-360) e índice.

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 : 1.2. Optimization examples from (Keynesian) multipliers ; 1.3. Introduction to concavity and convexity -- Chapter 2. Economic applications of multivariate calculus: 2.1. Partial derivatives and the total differential 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.