Economists' mathematical manual
著者
書誌事項
Economists' mathematical manual
Springer-Verlag, c1993
2nd ed
- : gw
- : us
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注記
Includes bibliographical references (p. [157]-159) and index
内容説明・目次
- 巻冊次
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: us ISBN 9780387563749
内容説明
This highly-successful manual is the first to present in one volume all of the mathematical formulas and theorems commonly used by economists. It will be helpful to economists, researchers, and students who are in need of exact statements of mathematical results. The third edition has been extensively revised and contains more than 250 new formulas, as well as many new figures. This comprehensive manual will be indispensable to economists at all levels.
- 巻冊次
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: gw ISBN 9783540563747
内容説明
This volume presents mathemat ical formulas and theorems common to 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 the graduate student in conjunction with a textbook and by the researcher in need of exact statements of mathematical results. The volume is the first grouping of this material for a specifically economist audience. In the second edition, the authors have made a number of corrections and some minor additions.
目次
Contents: Functions of one variable. Complex numbers.- Limits. Differentiation (one variable).- Partial derivatives.- Elasticities. Elasticities of substitution.- Systems of equations.- Inequalities.- Series. Taylor formulas.- Integration.- Difference equations. (Recurrence relations.).- Differential equations.- Topological concepts in Euclidean space.- Convexity.- Classical optimization.- Linear and nonlinear programming.- Calculus of variations and optimal control theory.- Discrete dynamic optimization.- vectors. Linear dependence. Scalar products.- Determinants.- Matrices.- Characteristic roots. Quadratic forms.- Special matrices. Leontief systems.- Kronecker products and the vec operator.- Differentiation of vectors and matrices.- Comparative statics. Value functions.- 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.- Statistical concepts.- Statistical distributions. Least squares.
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