M. : MAI, 1998. — 344 s. Methods of mathematical optimization are considered: mathematical modeling, unconditional optimization in finite-dimensional and infinite-dimensional Hilbert spaces, the basis of discrete minimization and the problem of optimal control. Numerical methods of solving optimization problems and algorithms for their implementation are considered, illustrative illustrations and specific examples. are given. To read the book, there is enough knowledge of mathematical analysis and linear algebra of university courses . The book is intended for students and graduate students in the specialty "Applied Mathematics" .