Economists’ Mathematical Manual
This volume presents mathematical formulas and theorems commonly used in economics. It includes both formulas like Roy`s identity that are peculiar to economics and formulas like Leibniz's rule that are common to many areas of applied mathematics. The volume is meant to be a reference work, to be used by students in conjunction with a textbook and by researchers in need of exact statements of mathematical results. The volume is the first grouping of this material for a specifically economist audience.
- Autores: Sydsaeter, Knut, Strøm, Arne, Berck, Peter
- Editorial: Springer
- Edición: Cuarta, 2005
- Idioma: Inglés
- Páginas: 226
- Peso: 2.2 Mb.
- Calidad: Excelente
Contents
- Set Theory. Relations. Functions
- Equations. Functions of one variable. Complex numbers
- Limits. Continuity. Differentiation (one variable)
- Partial derivatives
- Elasticities. Elasticities of substitution
- Systems of equations
- Inequalities
- Series. Taylor’s formula
- Integration
- Difference equations
- Differential equations
- Topology in Euclidean space
- Convexity
- Classical optimization
- Linear and nonlinear programming
- Calculus of variations and optimal control theory
- Discrete dynamic optimization
- Vectors in Rn. Abstract spaces
- Matrices
- Determinants
- Eigenvalues. Quadratic forms
- Special matrices. Leontief systems
- Kronecker products and the vec operator. Differentiation of vectors
- and matrices
- Comparative statics
- Properties of cost and profit functions
- Consumer theory
- Topics from trade theory
- Topics from finance and growth theory
- Risk and risk aversion theory
- Finance and stochastic calculus
- Non-cooperative game theory
- Combinatorics
- Probability and statistics
- Probability distributions
- Method of least squares
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