Foundations of Iso-Differential Calculus. Volume 2

Svetlin G. Georgiev
Sorbonne University, Paris, France
Faculty of Mathematics and Informatics, Department of Differential Equations, Sofia University, Sofia, Bulgaria

Series: Mathematics Research Developments
BISAC: MAT005000




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This book introduces the main ideas and fundamental methods of iso-differential calculus for iso-functions of several variables. Introduced are the iso-functions of the first, second, third, fourth and fifth kind, and iso-partial derivatives of the first, second, third, fourth, fifth, sixth and seventh kind. In this book, the main conceptions for multiple, line and surface iso-integrals for iso-functions of several variables are given.

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 iso-differential calculus. Alternatively, it may be used for beginning graduate level courses 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. (Imprint: Nova)


Chapter 1 - Real-Valued Iso-Functions of Several Variables (pp. 1-116)

Chapter 2 - Multiple Iso-Integrals (pp. 117-142)

Chapter 3 - Line and Surface Iso-Integrals (pp. 143-158)

Chapter 4 - The Iso-Fourier Iso- Integral (pp. 159-164)

Chapter 5 - Elements of the Theory of Iso-Hilbert Spaces (pp. 165-184)

Chapter 6 - Elements of Santilli-Lie-Isotopic Time Evolution Theory (pp. 185-202)


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