This manuscript provides a brief introduction to optimization problems.
Optimization is essential in the studies of economy, engineering and other
aspects of life. It covers basic calculus concepts to determine extrema of
functions of single and several variables. Basic axioms of inner product
spaces, metric, normed and topological spaces are discussed. Convex and
concave functions equipped by examples and applications are given.
Calculus of variation is discussed. Hamiltonian‘s ordinary difierential
equations re discussed to enable us to solve optimization problem
considering functionals
