Sydsaeter / Strøm / Berck Economists' Mathematical Manual

4th Auflage 2005
ISBN: 978-3-540-28518-2
Verlag: Springer
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 237 Seiten, eBook

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.

Zielgruppe

Research

Autoren/Hrsg.

Sydsaeter, Knut

Strøm, Arne

Berck, Peter

Inhaltsverzeichnis

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.