Foundations of Iso-Differential Calculus (vol. 1)

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mentioned [here](http://www.world-lecture-series.org/invited-2014-keynote-lectures) and [cited here](http://www.santilli-foundation.org/docs/Madrid-Narwick-talk.pptx) publisher's description from [here](https://www.novapublishers.com/catalog/product_info.php?products_id=49414): **Authors:** Svetlin Georgiev (Faculty of Mathematics and Informatics, Department of Differential Equations, Sofia University, Sofia, Bulgaria) --- **Book Description:** The 'genious idea' is the Santilli's generalization 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. (Imprint: Nova) **Table of Contents:** Foreword Chapter 1. Physical Origin of the Isodifferential Calculus Chapter 2. Isoreals Chapter 3. Sequences of Isoreals Chapter 4. Isofunctions-Definition and Properties Chapter 5. Limit of Isofunctions. Continuous Isofunctions Chapter 6. Isodifferentiable Isofunctions Chapter 7. Isointegrals Chapter 8. Appendix: Elements of Isodual Mathematics Bibliography Index --- **Series:** Mathematics Research Developments --- **Binding:** ebook **Pub. Date:** 2014 **Pages:** 7x10 - (NBC-C) **ISBN:** 978-1-62618-059-8 **Status:** AV