Titlebook: Differential Calculus for Engineers; Gavriil Paltineanu,Ileana Bucur,Mariana Zamfir Textbook 2022 The Editor(s) (if applicable) and The Au

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Real Number Series,Let us consider a real number sequence .. A . is an expression of de form:

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Series of Functions (Functional Series),Let . be a sequence of real valued functions defined on the set .. The series of functions . is called . on the set . if the functional sequence of partial sums ., defined by ., is simply (uniformly) convergent on .. If ., then the function . is called the sum of the series and we will use notation.

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Differential Calculus of Functions of Several Variables,Let . be an open subset and let . be a function of two variables. . . is defined as the limit.

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Textbook 2022eries of functions, power series, elements of topology in n-dimensional space, limits of functions, continuous functions, partial derivatives of functions of several variables, Taylor‘s formula, extrema of a function of several variables (free or with constrains), change of variables, dependent functions..

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