Sums of Exponential Functions. Second Edition


Yuri K. Shestopaloff

Sums of Exponential Functions and their New Fundamental Properties with Applications to Natural Phenomena.

Second Revised Edition, 2010, 192 p.


ISBN 978-0-9809667-1-8  (9780980966718 )  LCCN 2009397551  

In 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 generalizations.

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Last modified: 01/10/21