Yuri K. Shestopaloff
Sums of Exponential Functions and their New Fundamental Properties with
Applications to Natural Phenomena.
Second Revised Edition, 2010, 192 p.
this second edition, the author continues exploring the properties of
exponential and logarithmic functions and their relationships with the
appropriate properties of polynomial and power functions. It turns that certain
properties of all of these functions are closely related, which is of great
benefit when applying these functions to different practical and theoretical
problems. This knowledge is then used to model natural and social phenomena, in
particular, the origins of some ideological doctrines. Physical phenomena, from
the scale of the micro-world to the Universe, also receive a lot of attention.
The book’s content is excellent supplementary material for mathematics and
physics courses, both at the undergraduate and graduate level. Engineers and
scientists - in fact, everybody who uses these functions to model different
processes and phenomena - will greatly benefit from this material. The book is
also a valuable resource for mathematicians specializing in algebra and
analysis, who will find this work to be the source of many interesting ideas and
Table of Contents
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