000 03301nam a2200301 a 4500
003 CUTN
005 20170912191408.0
008 101020r20021971paua fob 001 0 eng d
020 _a9788120346840
082 0 4 _a330.015
_221
_bINT
100 1 _aIntriligator, Michael D.
245 1 0 _aMathematical optimization and economic theory
_cMichael D. Intriligator.
260 _aNew Delhi
_bPHI Learning Private Limited
_c2013
300 _axix, 508 p.
_bill.
500 _aOriginally published: Englewood Cliffs, N.J. : Prentice-Hall, 1971.
505 0 _aIntroduction. Economizing and the economy -- Static optimization. The mathematical programming problem -- Classical programming -- Nonlinear programming -- Linear programming -- Game theory -- Applications of static optimization. Theory of the household -- Theory of the firm -- General equilibrium -- Welfare economics -- Dynamic optimization. The control problem -- Calculus of variations -- Dynamic programming -- Maximum principle -- Differential games -- Applications of dynamic optimization. Optimal economic growth -- Appendix A: Analysis -- Appendix B: Matrices.
650 0 _aEconomics, Mathematical.
650 0 _aMathematical optimization.
942 _2ddc
_cBB
490 1 _aClassics in applied mathematics ;
_v39
504 _aIncludes bibliographical references and index.
520 3 _aMathematical Optimization and Economic Theory 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 interested in learning about the applications of the mathematics of optimization to economics. The book 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. Audience: mathematicians and other researchers who are interested in learning about the applications of mathematical optimization in economics, as well as students at the advanced undergraduate and beginning graduate level. A basic knowledge of analysis and matrix algebra is recommended. Two appendices summarize the necessary mathematics.
550 _aIssued as part of SIAM.
710 2 _aSociety for Industrial and Applied Mathematics.
776 0 8 _iPrint version:
_z0898715113
_z9780898715118
_w(DLC) 2002017640
830 0 _aClassics in applied mathematics ;
_v39.
856 4 0 _uhttp://epubs.siam.org/ebooks/siam/classics_in_applied_mathematics/cl39
999 _c23021
_d23021