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Fractional calculus deals with extensions of derivatives and integrals to noninteger orders. It represents a powerful tool in applied mathematics to study a myriad of problems from different fields of science and engineering, with many breakthrough results found in mathematical physics, finance, hydrology, biophysics, thermodynamics, control theory, statistical mechanics, astrophysics, cosmology and bioengineering. This book…

Fractional Calculus: Theory
$205.00Quick ViewThe first volume of this twovolume book, presents history, the mathematical modeling and the applications of fractional order systems, and contains mathematical and theoretical studies and research related to this domain. This volume is made up of 11 chapters. The first chapter presents an analysis of the Caputo derivative and the pseudo state representation with…

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This book introduces the main ideas and fundamental methods of isodifferential calculus for isofunctions of several variables. Introduced are the isofunctions of the first, second, third, fourth and fifth kind, and isopartial derivatives of the first, second, third, fourth, fifth, sixth and seventh kind. In this book, the main conceptions for multiple, line and surface…

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This book is intended for readers who have had a course in isodifferential calculus and it can be used for a senior undergraduate course. Chapter 1 deals with exact isodifferential equations, while firstorder isodifferential equations are studied in Chapter 2 and Chapter 3. Chapter 4 discusses isointegral inequalities. Many isodifferential equations cannot be solved as…

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After presenting the first volume of this twovolume book, presenting a lot of mathematical and theoretical studies and research related to noninteger calculus, the second volume illustrates applications related to this domain. This volume is made up of 11 chapters. The first chapter presents the heuristic power of the noninteger differential operators in physics starting…

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This book is intended for readers who have had a course in isodifferential calculus and theory of probability. It can be used for a senior undergraduate course. (Imprint: Nova)

Foundations of IsoDifferential Calculus. Volume 6: Theory of IsoFunctions of a Real IsoVariable
$210.00Quick ViewThis book is intended for readers who have had a course in theory of functions, isodifferential calculus and it can also be used for a senior undergraduate course. Chapter One deals with the infinite sets. We introduce the main operations on the sets. They are considered as the onetoone correspondences, the denumerable sets and the…

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This is a modified version of Module 10 of the Centre for Mathematical and Statistical Sciences (CMSS). CMSS modules are notes prepared on various topics with many examples from reallife situations and exercises so that the subject matter becomes interesting to students. These modules are used for undergraduate level courses and graduate level training in…

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This book encompasses recent developments of variational calculus for time scales. It is intended for use in the field of variational calculus and dynamic calculus for time scales. It is also suitable for graduate courses in the above fields. This book contains eight chapters, and these chapters are pedagogically organized. This book is specially designed…

Single Variable Integral and Differential Calculus in a Nutshell with Elements of Critical Thinking
$195.00Quick ViewThis book presents a variety of calculus problems concerning different levels of difficulty with technically correct solutions and methodological steps that look also correct, but that have obviously wrong results (like 0 = 1). Those errors are aimed to be resolved by applying critical thinking (i.e., reasonable, reflective, responsible, and skillful thinking). This book is…
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