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Textbook in PDF format

This book is based on lectures given by the authors at the Faculty of Geodesy and the Faculty of Civil Engineering from Technical University of Civil Engineering of Bucharest. The material presented in this book exceeds the content of the spoken lessons and so it is also useful for other engineering specialties and even for students in mathematics. The book provides the engineering disciplines with necessary information of differential calculus of functions with one and several variables.
The book includes all the basic notions and results of differential calculus that are taught today in higher technical education, namely: sequences and series of numbers, sequences, and series of functions, power series, elements of topology on 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.
We tried to offer the fundamental material concisely and without distracting details. We focused on the presentation of basic ideas in order to make in detailed and a comprehensible as possible. Besides students in technical faculties and those starting a mathematical course, the book may be useful to engineers and scientists who wish to refresh their knowledge about some aspects of differential calculus