Fundamental methods of mathematical economics / 6
6
Alpha C. Chiang, Kevin Wainwright.
- Fourth edition.
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- xix, 688 pages : illustrations 24 cm.
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Includes bibliographical references (p. 659-661) and index.
The nature of mathematical economics -- Economic models -- Equilibrium analysis in economics -- Linear models and matrix algebra -- Linear models and matrix algebra (continued) -- Comparative statics and the concept of derivative -- Rules of differentiation and their use in comparative statics -- Comparative-static analysis of general-function models -- Optimization : a special variety of equilibrium analysis -- Exponential and logarithmic functions -- The case of more than one choice variable -- Optimization with equality constraints -- Further topics in optimization -- Economic dynamics and integral calculus -- Continuous time : first-order differential equations -- Higher-order differential equations -- Discrete time : first-order difference equations -- Higher-order difference equations -- Simulationeous differential equations and difference equations -- Optimal control theory.