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

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Title: Foundations of Iso-Differential Calculus, Volume I, Second Revised and Updated Edition
Description: 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.
Authors: Svetlin G. Georgiev
Resource Type: eBook.
Subjects: Differential calculus, Differential equations
Categories: MATHEMATICS / Calculus
Database: eBook Collection (EBSCOhost)
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DbLabel: eBook Collection (EBSCOhost)
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  Data: Foundations of Iso-Differential Calculus, Volume I, Second Revised and Updated Edition
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  Data: 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.
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      – Code: 515.33
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        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Differential calculus
        Type: general
      – SubjectFull: Differential equations
        Type: general
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      – TitleFull: Foundations of Iso-Differential Calculus, Volume I, Second Revised and Updated Edition
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            NameFull: Svetlin G. Georgiev
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2022
            – D: 16
              M: 09
              Type: profile
              Y: 2024
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              Value: 9781685074777
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              Value: 9781685076870
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            – TitleFull: Foundations of Iso-Differential Calculus, Volume I, Second Revised and Updated Edition
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