Multiplicative Differential Calculus

The book is dedicated to the multiplicative differential calculus, which is a new calculus established by Michael Grossman and Robert Katz in 1967. It is useful for economics, finance, biology, and engineering and can be used as a mathematical tool for these fields. The book has seven pedagogically organized chapters and a section of practical problems for self-study.

Format: Hardback
Length: 206 pages
Publication date: 04 July 2022
Publisher: Taylor & Francis Ltd

This comprehensive book delves into the realm of multiplicative differential calculus, presenting a wealth of knowledge in its seven pedagogically organized chapters. The journey begins with an introduction to the fundamental concepts of differentiation and integration, which serve as the building blocks of calculus and analysis. It is remarkable to note that these two operations, differentiation and integration, are the infinitesimal counterparts of subtraction and addition on numbers, respectively.

In the mid-1960s, a groundbreaking transformation occurred in the field of mathematics when Michael Grossman and Robert Katz introduced a novel definition of a derivative and integral. Their innovative approach shifted the roles of subtraction and addition to division and multiplication, thus giving rise to a new branch of calculus known as multiplicative calculus. This remarkable development is also referred to as an alternative or non-Newtonian calculus.

Multiplicative calculus holds immense potential as a powerful mathematical tool across various disciplines, including economics, finance, biology, and engineering. Its unique approach offers insights and solutions that are not readily available in traditional differential calculus. By leveraging the power of multiplicative functions, researchers and practitioners can explore complex phenomena, model systems, and solve complex problems with greater efficiency and accuracy.

This book is designed to cater to a diverse audience of specialists, including mathematicians, physicists, engineers, and biologists. It serves as a comprehensive textbook at the senior undergraduate and beginning graduate level, providing a solid foundation in differential calculus. It is also an invaluable resource for students pursuing engineering and science degrees, as it offers a deeper understanding of the mathematical principles that underpin these fields.

The authors of this book are accomplished scholars in their respective fields. Svetlin G. Georgiev is a mathematician with a diverse range of expertise, including harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales. He has published numerous research papers and has contributed significantly to the field of mathematics.

Khaled Zennir, on the other hand, holds a Ph.D. in mathematics from Sidi Bel Abbès. His research interests span a wide array of areas, including mathematical physics, differential equations, and mathematical biology. He has published numerous papers in prestigious journals and has been recognized for his contributions to the field.

In conclusion, this book is a valuable resource for anyone seeking to delve into the world of multiplicative differential calculus. Its comprehensive coverage, coupled with its pedagogical organization, makes it an ideal text for both students and professionals alike. Whether you are a mathematician, physicist, engineer, or biologist, this book will provide you with the tools and insights necessary to excel in your field.

Weight: 557g
Dimension: 234 x 156 (mm)
ISBN-13: 9781032289120