The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order by Keith B. Oldham and Jerome Spanier
Book Contents :-
Introduction - Diffrentiation and Integration - Fractional Derivates and Integral Difinitions and Equivalences - Differintegration of Simple Fucntions - General Properties - Differintegration of More Complex Functions - Semiderivaitves and Semiintegrals - Techniques in the Fractional Calculus - Representation of Transcendental Functions - Applications in the Classical Calculus - Applications to Diffusion Problems
About this book :-
"The Fractional Calculus" by Keith B. Oldham and Jerome Spanier is a comprehensive introduction to the field of "fractional calculus", which extends differentiation and integration to arbitrary, non-integer orders. This book is ideal for advanced students and researchers seeking a deeper understanding of this mathematical area and its broad range of applications.
The authors carefully explain the theory behind "differintegral operators", providing detailed discussions on semiderivatives, semiintegrals, and transcendental functions. The book balances rigorous mathematics with practical examples, showing how fractional calculus can model complex phenomena in physics, engineering, and other sciences.
Divided into two parts, the text first covers foundational concepts and then explores real-world applications, such as diffusion problems and classical calculus extensions. Oldham and Spanier’s clear writing style and structured approach make difficult concepts accessible, making this book a valuable resource for mathematicians, engineers, and scientists interested in the innovative uses of fractional calculus.
Book Detail :-
Title:
The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order by Keith B. Oldham and Jerome Spanier
Publisher:
Dover Publications
Year:
1974
Pages:
234
Type:
PDF
Language:
English
ISBN-10 #:
0486450015
ISBN-13 #:
978-0486450018
License:
CC PDM 1.0
Amazon:
Amazon
About Author :-
The author
Keith B. Oldham
is a chemistry professor at Trent University, specializing in "fractional calculus" and its applications in modeling complex systems. His work bridges theory and practical use in science. Jerome Spanier was a mathematician at the University of California, Irvine, known for his contributions to "differentiation and integration" of arbitrary order. Together, they co-authored "The Fractional Calculus", a key resource in understanding advanced "arbitrary order" calculus concepts.
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