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 materialfor a specifically economist audience. Most successful mathematical manual for economists INDICE: 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.- Differenceequations.- Differential equations.- Topology in Euclidean space.- Convexity.- Classical optimization.- Linear and nonlinear programming.- Calculus of variations and optimal control theory.- Discrete dynamic optimization.- Vectors inRn. 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.
- ISBN: 978-3-54026088-2
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 225
- Fecha Publicación: 10/10/2009
- Nº Volúmenes: 1
- Idioma: Inglés