Yuri K. Shestopaloff
Elementary Functions and Equations. Modeling Natural Phenomena.
Second Revised Edition, 2018, 300 p.
ISBN 978-1-927731-07-9 (9781927731079)
As the previous book,
the revised version introduces properties of elementary functions and equations
with regard to their geometrical, physical and, in some instances, philosophical
interpretation. The author shows why and how these functions can be used for
developing adequate models of natural phenomena, systems and processes. The
present mathematical approaches often underestimate the importance of
relationships of mathematical concepts and constructs with geometry and physical
reality. We live in an inherently geometrical world; all our knowledge came from
a three-dimensional space, which is directly or intermittingly applied to all
problems humans deal with. Even if we consider higher than three dimension
spaces, we still generalize our experience from 3-D world. The material presents
both fundamental concepts and examples of particular applications, which can be
used for mathematical modeling of different phenomena in diverse areas -
physics, biology and many other applications, which rely on quantitative
approaches and statistical and mathematical modeling. The prerequisite for
understanding the book is a familiarity with the first year algebra and calculus
courses (first and second order derivatives is probably the most advanced thing
the reader should know).
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