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OverviewTreating the mathematical methods used in the economic dynamics, this book shows how they are utilised to build and analyse dynamical models. Accordingly, the focus is on the methods, and every new mathematical technique introduced is followed by its application to select economic models. The mathematical methods covered range from elementary linear difference and differential equations and simultaneous systems to the qualitative analysis of non-linear dynamical systems. Stability considerations are stressed throughout, including many advanced topics. Synergetics and catastrophy theory are also dealt with. The reader is guided through a step-by-step analysis of each topic, be it a mathematical method or an economic model. The Study Edition also provides the reader with solutions to the numerous exercises. Full Product DetailsAuthor: G. GandolfoPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 3rd ed. 1997. Corr. 2nd printing Dimensions: Width: 23.40cm , Height: 3.70cm , Length: 15.60cm Weight: 2.150kg ISBN: 9783540627609ISBN 10: 354062760 Pages: 857 Publication Date: 19 August 1997 Audience: College/higher education , Undergraduate Format: Paperback Publisher's Status: Active Availability: Out of stock ![]() The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsIntroduction.- Linear Difference Equations: Difference Equations: General Principles.- First-order Difference Equations.- First-order Difference Equations in Economic Models.- Second-order Difference Equations.- Second-order Difference Equations in Economic Models.- Higher-order Difference Equations.- Higher-order Difference Equations in Economic Models.- Simultaneous Systems of Difference Equations.- Simultaneous Difference Systems in Economic Models.- Linear Differential Equations: Differential Equations: General Principals.- First-order Differential Equations.- First-order Differential Equations in Economic Models.- Second-order Differential Equations.- Second-order Differential Equations in Economic Models.- Higher-order Differential Equations.- Higher-order Differential Equations in Economic Models.- Simultaneous Systems of Differential Equations.- Differential Equation Systems in Economic Models.- Advanced Topics: Comparative Statics and the Correspondence Principle.- Stability of Equilibrium: A General Treatment.- Liapunov' s Second Method.- Introduction to Nonlinear Dynamics.- Bifurcation Theory.- Complex Dynamics.- Mixed Differential-Difference Equations.- Dynamic Optimization.- Saddle Points and Economic Dynamics.- Answers to Excercises.ReviewsAuthor InformationSince 1974 is Professor Giancarlo Gandolfo full professor of International Economics, Faculty of Economics, Sapienza University of Rome. Since 2005 he is member of the scientific committee of University of Rome La Sapienza Press. His main areas of research are International monetary economics; continuous time econometrics; mathematical methods and models of economic dynamics. He is recipient of several research grants by national and international institutions. Tab Content 6Author Website:Countries AvailableAll regions |