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Economists’ Mathematical Manual [electronic resource] /by Knut Sydsæter, Arne Strøm, Peter Berck.

by Sydsæter, Knut [author.]; Strøm, Arne [author.]; Berck, Peter [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.Edition: 4.Description: XII, 225 p. 66 illus. online resource.ISBN: 9783540285182.Subject(s): Economics | Mathematics | Economics/Management Science | Economics general | Game Theory, Economics, Social and Behav. SciencesDDC classification: 330 Online resources: Click here to access online
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 ?n. 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.
In: Springer eBooksSummary: 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.
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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 ?n. 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.

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.

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