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In our daily life, we always choose the best possible solutions for several problems. We encounter the problems of maximum and minimum. In mathematics, the study of maximum and minimum problems began a very long time ago. There has been increasing interest in the problem of minimizing functions of n variables numerically. There were no uniform ways to find the maxima or minima of problems. The first general methods of investigation and solution of extremal problems were created about 300 years ago, at the time of the formation of mathematical analysis. Then, it became clear that certain special optimization problems play a crucial role in the natural sciences. Specifically, it was found that many laws of nature can be derived from optimization methods. We shall learn some historical development of unconstrained optimization.