The 'genious idea' is the Santilli's generalisation of the basic
unit of quantum mechanics into an integro-differential operator.
This depends on local variables, and it is assumed to be the
inverse of the isotopic element (the Santilli isounit). It was
believed for centuries that the differential calculus is
independent of the assumed basic unit, since the latter was
traditionally given by the trivial number 1. Santilli has disproved
this belief by showing that the differential calculus can be
dependent on the assumed unit by formulating the isodifferential
calculus with basic isodifferential. In this book, the authors
introduce the main definitions and properties of isonumbers,
isofunctions and isodifferentials. The book is provided with
examples and exercises making it suitable for an introductory one-
or two-semester undergraduate course on some of the major aspects
of isodifferential calculus. Alternatively, it may be used for
beginning graduate level course and as a reference work. With
exercises at the end of each chapter and its straightforward
writing style, the book addresses readers who have no prior
knowledge on this subject but have a basic background in graduate
mathematics courses, such as theory of functions and differential
calculus.
General
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