Economists' Mathematical Manual

Knut Sydsaeter

ISBN 10: 3540260889 / ISBN 13: 9783540260882

Editore: Springer-Verlag Gmbh Okt 2009, 2009

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Neuware -The fourth edition is augmented by more than 70 new formulas. In particular, we have included some key concepts and results from trade theory, games of incomplete information and combinatorics. In addition there are scattered additions of new formulas in many chapters. Again we are indebted to a number of people who has suggested corrections, - provements and new formulas. In particular, we would like to thank Jens-Henrik Madsen, Larry Karp, Harald Goldstein, and Geir Asheim. In a reference book, errors are particularly destructive. We hope that readers who nd our remaining errors will call them to our attention so that we may purge them from future editions. Oslo and Berkeley, May 2005 Knut Sydsæter, Arne Strøm, Peter Berck From the preface to the third edition Thepracticeofeconomicsrequiresawide-rangingknowledgeofformulasfrommat- matics, statistics, andmathematicaleconomics. Withthisvolumewehopetopresent a formulary tailored to the needs of students and working professionals in economics. In addition to a selection of mathematical and statistical formulas often used by economists, this volume contains many purely economic results and theorems. It containsjusttheformulasandtheminimumcommentaryneededtorelearnthema- ematics involved. We have endeavored to state theorems at the level of generality economists might nd useful. In contrast to the economic maxim, 'everything is twice more continuously di erentiable than it needs to be', we have usually listed theregularityconditionsfortheoremstobetrue.Wehopethatwehaveachieveda level of explication that is accurate and useful without being pedantic.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 225 pp. Englisch.

Codice articolo 9783540260882

Dati bibliografici

• Titolo: Economists' Mathematical Manual
• Editore: Springer-Verlag Gmbh Okt 2009
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 3540260889
• ISBN 13: 9783540260882
• Rilegatura: Buch
• Edizione: quarta edizione
• Condizione: Neu
• Dimensioni: 241 L x 160 A x 18 P (millimetri) 241 millimetri di larghezza per 160 millimetri di altezza per 18 millimetri di profondità
• Peso: 573 grammi

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Riassunto

The fourth edition is augmented by more than 70 new formulas. In particular, we have included some key concepts and results from trade theory, games of incomplete information and combinatorics. In addition there are scattered additions of new formulas in many chapters. Again we are indebted to a number of people who has suggested corrections, - provements and new formulas. In particular, we would like to thank Jens-Henrik Madsen, Larry Karp, Harald Goldstein, and Geir Asheim. In a reference book, errors are particularly destructive. We hope that readers who ?nd our remaining errors will call them to our attention so that we may purge them from future editions. Oslo and Berkeley, May 2005 Knut Sydsæter, Arne Strøm, Peter Berck From the preface to the third edition Thepracticeofeconomicsrequiresawide-rangingknowledgeofformulasfrommat- matics, statistics, andmathematicaleconomics. Withthisvolumewehopetopresent a formulary tailored to the needs of students and working professionals in economics. In addition to a selection of mathematical and statistical formulas often used by economists, this volume contains many purely economic results and theorems. It containsjusttheformulasandtheminimumcommentaryneededtorelearnthema- ematics involved. We have endeavored to state theorems at the level of generality economists might ?nd useful. In contrast to the economic maxim, everything is twice more continuously di?erentiable than it needs to be , we have usually listed theregularityconditionsfortheoremstobetrue.Wehopethatwehaveachieveda level of explication that is accurate and useful without being pedantic.

Contenuti

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.