Foundations of Iso-Differential Calculus

Volume I

Svetlin G. Georgiev (Autor)

Buch | Hardcover

361 Seiten

2022
Nova Science Publishers Inc (Verlag)
978-1-68507-477-7 (ISBN)

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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.

Foreword to the Second Edition; Foreword to the First Edition; Physical Origin of the Iso-Differential Calculus; Iso-Real Numbers; Sequences of Iso-Real Numbers; Iso-Functions; Limit of Iso-Functions. Continuous Iso-Functions; Iso-Differentiable Iso-Functions; Iso-Integration; Elements of Isodual Mathematics; References; Index.

Erscheinungsdatum	09.03.2022
Verlagsort	New York
Sprache	englisch
Maße	152 x 229 mm
Gewicht	634 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	1-68507-477-4 / 1685074774
ISBN-13	978-1-68507-477-7 / 9781685074777
Zustand	Neuware