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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Advanced Mathematics for Engineers and Physicists (Hardcover, 1st ed. 2022)
Loot Price: R2,717
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Advanced Mathematics for Engineers and Physicists (Hardcover, 1st ed. 2022)
Expected to ship within 12 - 17 working days
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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.
General
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