Economic Dynamics - Gandolfo, Giancarlo
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Treating 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…mehr

Produktbeschreibung
Treating 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.

Table of contents:
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 Principles; 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; Saddle Points and Economic Dynamics; Liapunov's Second Method; Introduction to Nonlinear Dynamics; Bifurcation Theory; Complex Dynamics; Mixed Differential-Difference Equations.
Autorenporträt
Since 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.
Rezensionen
From the reviews of the fourth edition:
"Gandolfo's book Economic dynamics is an encyclopedic textbook that can also be useful for researchers. It provides the necessary mathematical background to understand most of the economic models that can be found in the literature. ... a useful tool for graduate courses but mainly it is an exceptional reference for economists, applied mathematicians and all those curious researchers wanting to get a perspective of how economy can be investigated and modelled." (Ricardo López-Ruiz, Mathematical Reviews, June, 2013)