Multiplicative differential calculus / Svetlin Georgiev and Khaled Zennir

By:

Georgiev, Svetlin

Contributor(s):

Zennir, Khaled

Material type: Text

TextLanguage: English Publication details: Boca Raton : CRC Press, 2023.Edition: 1st edDescription: ix, 206 p.: ill.; 23 cmISBN:

9781032289120

Subject(s):

DDC classification:

23 515.33 GEO

Contents:

1 The Field R 2 Multiplicative Differentiation 3 Multiplicative Integration

Summary: This book is devoted to the multiplicative differential calculus. It summarizes the most recent contributions in this area. The book is intended for senior undergraduate students and beginning graduate students of engineering and science courses. Two operations, differentiation and integration, are basic in calculus and analysis. In fact, they are the infinitesimal versions of the subtraction and addition operations on numbers, respectively. In the period from 1967 till 1970 Michael Grossman and Robert Katz gave definitions of a new kind of derivative and integral, moving the roles of subtraction and addition to division and multiplication, and thus established a new calculus, called multiplicative calculus. It is also called an alternative or non-Newtonian calculus. Multiplicative calculus can especially be useful as a mathematical tool for economics, finance, biology, and engineering. This book is devoted to the multiplicative differential calculus. It summarizes the most recent contributions in this area. The book is intended for senior undergraduate students and beginning graduate students of engineering and science courses. The book contains seven chapters. The chapters in the book are pedagogically organized. Each chapter concludes with a section with practical problems. This book is addressed to a wide audience of specialists such as mathematicians, physicists, engineers, and biologists. It is primarily meant as a textbook at the graduate level and may be used for a course on differential calculus. Each chapter concludes with a section with practical problems to be assigned or for self-study

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Item type	Current library	Collection	Call number	Status	Date due	Barcode
General Books	CUTN Central Library Sciences	Non-fiction	515.33 GEO (Browse shelf(Opens below))	Available		47820

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1 The Field R
2 Multiplicative Differentiation 3 Multiplicative Integration

This book is devoted to the multiplicative differential calculus. It summarizes the most recent contributions in this area. The book is intended for senior undergraduate students and beginning graduate students of engineering and science courses. Two operations, differentiation and integration, are basic in calculus and analysis. In fact, they are the infinitesimal versions of the subtraction and addition operations on numbers, respectively. In the period from 1967 till 1970 Michael Grossman and Robert Katz gave definitions of a new kind of derivative and integral, moving the roles of subtraction and addition to division and multiplication, and thus established a new calculus, called multiplicative calculus. It is also called an alternative or non-Newtonian calculus. Multiplicative calculus can especially be useful as a mathematical tool for economics, finance, biology, and engineering. This book is devoted to the multiplicative differential calculus. It summarizes the most recent contributions in this area. The book is intended for senior undergraduate students and beginning graduate students of engineering and science courses. The book contains seven chapters. The chapters in the book are pedagogically organized. Each chapter concludes with a section with practical problems. This book is addressed to a wide audience of specialists such as mathematicians, physicists, engineers, and biologists. It is primarily meant as a textbook at the graduate level and may be used for a course on differential calculus. Each chapter concludes with a section with practical problems to be assigned or for self-study

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