حساب دیفرانسیل به زبان ساده

A distinctive feature of the proposed manual is close union of the ideas oflinear algebra and differential calculus, which makes it possible to achieve agreat generality of presentation, taking as the initial mapping R n → R m ,considering the mappingR → R, R n → R and R → R n as special cases. The manual consists of fivechapters. The first chapter covers the basic concepts mathematical analysislimit and continuity after prevariable definition of a system ofneighborhoods of points on a straight line, plane and in space.The second chapter presents the differential calculus for functionsof one and many variables. As initial the concepts of differentiablemapping, differentiable la and the derivative of the matrix. The structure ofthe derivative in the most important cases for the application. In the samechapter included traditional material of research of functions.The third and fourth chapters contain guidelines, in which the methods ofsolving typical problems by mathematic analysis to assist students inperforming the control works given in the fifth chapter.