M. : Fizmatgiz, 1963. — 276 s. — (Selected Chapters of Higher Mathematics for Engineers and Students). The book aims to introduce the reader to the theory of systems of linear equations and linear inequalities and to introduce him to the field of ideas related to mathematical methods of planning. The book gives examples of specific problems solved by linear programming methods, details the main method of their solution - simplex method and discusses other general methods: the inverse matrix method and the dual simplex method .. The transport problem is analyzed in detail, in the appendix to which the simplex method is reduced to the distribution method and the potential method. The first chapters can serve as an independent manual for linear algbere for students of the aces . The book is intended for students of technical and economic universities, engineers and persons working in the field of mathematics application to planning. Theory of determinants . Vector Spaces. Systems of linear algebraic equations. Elements of analytic geometry in n-dimensional space. The main task of linear programming. Simplex method. The concept of dual linear programming problems. Reverse matrix method and dual simplex method. Transportation Task.