Foundations of Iso-Differential Calculus, Volume I, Second Revised and Updated Edition PDF

This is the second edition of Foundations of Iso-Differential Calculus, Volume 1, which gives an overview of the development of iso-differential calculus.

The second edition introduces a new class of iso-functions, named iso-functions of the fifth kind.

Also, further examples, exercises and problems have been added.

Chapter 1 reviews Ruggero Maria Santilli's scientific journey, identifying its most important references.

Chapter 2 introduces iso-real numbers, some basic functions and their properties.

Chapter 3 defines sequences of iso-real numbers and deduces their properties.

Chapter 4 gives definitions for five kinds of iso-functions and outlines their properties.

Chapter 5 introduces the limits of iso-functions and continuous iso-functions.

Chapter 6 presents the first comprehensive study of iso-differential calculus for the specific intent of showing its non-triviality.

Chapter 7 reflects integral calculus in the language of iso-mathematics.

Lastly, Chapter 8 outlines the isodual iso-mathematics and presents the first comprehensive study of isodual iso-differential calculus.