Popescu S. Mathematical Analysis I-II. 2013

Textbook in PDF format

The present book is a direct consequence of the last 33 years of practical experience in teaching Advanced Calculus (Mathematical Analysis) for the civil engineering students from Technical University of Civil Engineering Bucharest. The author tried to expose all the notions and results in a very original way such that to be as close as possible to the engineering style of thinking. Each new mathematical definition has a natural motivation which comes from geometry, mechanics, physics, etc. The book contains classical chapters of differential calculus for functions of several variables. In addition, one can also find a chapter devoted to the differentiability of complex functions. Each chapter ends with a set of proposed exercises very similar with many worked examples which previously were supplied. The aim of the book is not only to give the basic mathematical information for a future engineer, economist, chemist, biologist, etc. or a beginning mathematician, but also to make as strong as possible his (her) power of reasoning