
Alpha Calculus
CRC Press
1st Edition
Published on 27. April 2026
Book
Hardback
368 pages
978-1-041-26527-6 (ISBN)
Description
Readers may question why non-Newtonian calculus should be used when Newtonian calculus is already available and many scientists are familiar with it. Alpha Calculus attempts to answer this question. Many other mathematical examples can also be given to demonstrate the advantages of using non-Newtonian calculus, for instance, in interpreting differential equations, proving certain mathematical facts more easily, studying functions with variable physical values, and more.
The use of alternative calculi to Newtonian calculus is interesting not only for mathematicians, but also for researchers in other fields. Specifically, it is known that while stock prices, national populations, electric bills, and river surface areas are measured on exponential scales, the magnitude of an earthquake, sound signal levels, and the acidity of chemicals are measured on logarithmic scales.
This suggests that many physical phenomena in nature are expressed using exponential and logarithmic scales, making it more natural to prefer a calculus based on division and multiplication rather than subtraction and addition. Consequently, this book provides researchers in any field with the opportunity to use a calculus that is compatible with an arithmetic system suited to their work.
The use of alternative calculi to Newtonian calculus is interesting not only for mathematicians, but also for researchers in other fields. Specifically, it is known that while stock prices, national populations, electric bills, and river surface areas are measured on exponential scales, the magnitude of an earthquake, sound signal levels, and the acidity of chemicals are measured on logarithmic scales.
This suggests that many physical phenomena in nature are expressed using exponential and logarithmic scales, making it more natural to prefer a calculus based on division and multiplication rather than subtraction and addition. Consequently, this book provides researchers in any field with the opportunity to use a calculus that is compatible with an arithmetic system suited to their work.
More details
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Undergraduate Advanced
Illustrations
26 s/w Zeichnungen, 26 s/w Abbildungen
26 Line drawings, black and white; 26 Illustrations, black and white
Dimensions
Height: 234 mm
Width: 156 mm
Weight
860 gr
ISBN-13
978-1-041-26527-6 (9781041265276)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Svetlin G. Georgiev | Muhittin Evren Aydin
Alpha Calculus
E-Book
04/2026
1st Edition
Chapman and Hall
€238.99
Available for download

Svetlin G. Georgiev | Muhittin Evren Aydin
Alpha Calculus
E-Book
04/2026
1st Edition
Chapman and Hall
€238.99
Available for download
Persons
Svetlin G. Georgiev is a mathematician who has worked in various areas of mathematics. He currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales.
Muhittin Evren Aydin is a mathematician who works on various aspects of mathematics. Currently, he focuses on differential geometry, Riemannian geometry, fractional calculus, microeconomics, and applications of differential geometry.
Muhittin Evren Aydin is a mathematician who works on various aspects of mathematics. Currently, he focuses on differential geometry, Riemannian geometry, fractional calculus, microeconomics, and applications of differential geometry.
Content
1. Non-Newtonian Real Numbers 2. Non-Newtonian Sequences 3. Non-Newtonian Elementary Functions 4. Non-Newtonian Functions 5. Non-Newtonian Differentiation 6. Higher Order Non-Newtonian Derivatives 7. Non-Newtonian Integration 8. Improper Non-Newtonian Integrals 9. Applications: Non-Newtonian Differential Equations