We added a generous supplementary material (11.1) with a self-contained and complete introduction to normed, metric and Hilbert spaces. Since we used some topics from complex function theory, we also introduced in Chapter 11 a section (11.2) with the basic facts in this important field.What a reader needs for a complete understanding of this book? For a deep understanding of this book, it is required to take a course in undergraduate calculus and linear algebra. We mostly tried to use the engineering intuition instead of insisting on mathematical tricks. The main feature of the material presented here is its clarity, motivation and the genuine desire of the authors to make extremely transparent the "mysterious" mathematical tools that are used to describe and organize the great variety of impressions that come to the searching mind, from the infinite complexity of Nature.
The book is recommended not only to engineering and physics students or researchers but also to junior students in mathematics because it shows the connection between pure mathematics and physical phenomena, which always supply motivations for mathematical discoveries.
Marilena Jianu received her M.Sc. degree in mathematics (statistics and probability) from the University of Bucharest, and her Ph.D. degree in civil engineering from the Technical University of Civil Engineering Bucharest. She has been teaching advanced mathematics to engineering students for over 20 years and has published several papers in pure and applied mathematics. She is an editorial board member of the Romanian Journal of Mathematics and Computer Science and a reviewer for Mathematical Reviews.