@article{1452422,
      recid = {1452422},
      author = {Popescu, Sever Angel, and Jianu, Marilena,},
      title = {Advanced mathematics for engineers and physicists/},
      publisher = {Springer,},
      address = {Cham, Switzerland :},
      pages = {1 online resource :},
      year = {2022},
      abstract = {This book is designed to be an introductory course to some  basic chapters of Advanced Mathematics for Engineering and  Physics students, researchers in different branches of  Applied Mathematics and anyone wanting to improve their  mathematical knowledge by a clear, live, self-contained and  motivated text. Here, one can find different topics, such  as differential (first order or higher order) equations,  systems of differential equations, Fourier series, Fourier  and Laplace transforms, partial differential equations,  some basic facts and applications of the calculus of  variations and, last but not least, an original and more  intuitive introduction to probability theory. All these  topics are carefully introduced, with complete proofs,  motivations, examples, applications, problems and  exercises, which are completely solved at the end of the  book. 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.},
      url = {http://library.usi.edu/record/1452422},
      doi = {https://doi.org/10.1007/978-3-031-21502-5},
}