Optimization is an important tool used in decision science and for
the analysis of physical systems used in engineering. One can trace
its roots to the Calculus of Variations and the work of Euler and
Lagrange. This natural and reasonable approach to mathematical
programming covers numerical methods for finite-dimensional
optimization problems. It begins with very simple ideas progressing
through more complicated concepts, concentrating on methods for
both unconstrained and constrained optimization.
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