Economists' mathematical manual
著者
書誌事項
Economists' mathematical manual
Springer Verlag, c1999
3rd, rev. and enl. ed.
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注記
Berck's name appears first on the earlier edition
Bibliography: p. [193]-196
Includes index
内容説明・目次
内容説明
This volume presents mathematical formulas and theorems common to economics. It includes both formulas like Roys 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. This third edition is extensively revised and contains more than 250 new formulas, as well as new figures.
目次
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 finance and growth theory * Risk and risk aversion theory * Finance and stochastic calculus * Non-cooperative game theory * Probability and statistics * Probability distributions.
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