
Sách Advanced Mathematics for Engineers and Physicists (sách keo gáy, bìa mềm)
Thể loại:Mathematics - Applied Mathematics
Năm:2023
Ngôn ngữ:english
Trang:833
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.