Mathematical Optimization and Economic Theory
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Mathematical Optimization and Economic Theory: (Classics in Applied Mathematics)

Mathematical Optimization and Economic Theory: (Classics in Applied Mathematics)


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About the Book

Provides a self-contained introduction to and survey of mathematical programming and control techniques and their applications to static and dynamic problems in economics, respectively. It is distinctive in showing the unity of the various approaches to solving problems of constrained optimization that all stem back directly or indirectly to the method of Lagrange multipliers. In the 30 years since its initial publication, there have been many more applications of these mathematical techniques in economics, as well as some advances in the mathematics of programming and control. Nevertheless, the basic techniques remain the same today as when the book was originally published. Thus, it continues to be useful not only to its original audience of advanced undergraduate and graduate students in economics, but also to mathematicians and other researchers who are interested in learning about the applications of the mathematics of optimization to economics. The book is distinctive in that it covers in some depth both static programming problems and dynamic control problems of optimization and the techniques of their solution. It also clearly presents many applications of these techniques to economics, and it shows why optimization is important for economics. Many challenging problems for both students and researchers are included.

Table of Contents:
Preface to the Classics Edition Preface Part One: Introduction. Economizing and the Economy Part Two: Static Optimization. The Mathematical Programming Problem Classical Programming Nonlinear Programming Linear Programming Game Theory Part Three: Applications of Static Optimization. Theory of the Household Theory of the Firm General Equilibrium Welfare Economics Part Four: Dynamic Optimization. The Control Problem Calculus of Variations Dynamic Programming Maximum Principle Differential Games Part Five: Applications of Dynamic Optimization. Optimal Economic Growth Appendix A: Analysis Appendix B: Matrices Index.


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Product Details
  • ISBN-13: 9780898715118
  • Publisher: Society for Industrial & Applied Mathematics,U.S.
  • Publisher Imprint: Society for Industrial & Applied Mathematics,U.S.
  • Height: 228 mm
  • No of Pages: 517
  • Series Title: Classics in Applied Mathematics
  • Weight: 725 gr
  • ISBN-10: 0898715113
  • Publisher Date: 31 Mar 2002
  • Binding: Paperback
  • Language: English
  • Returnable: Y
  • Spine Width: 27 mm
  • Width: 154 mm


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