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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Multiplicative Differential Calculus (Hardcover)
Loot Price: R2,476
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Multiplicative Differential Calculus (Hardcover)
Series: Textbooks in Mathematics
Expected to ship within 12 - 17 working days
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This book is devoted to the multiplicative differential calculus.
Its seven pedagogically organized chapters summarize the most
recent contributions in this area, concluding with a section of
practical problems to be assigned or for self-study. 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. 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.
Multiplicative Differential Calculus is written to be of interest
to a wide audience of specialists such as mathematicians,
physicists, engineers, and biologists. It is primarily a textbook
at the senior undergraduate and beginning graduate level and may be
used for a course on differential calculus. It is also for students
studying engineering and science. Authors Svetlin G. Georgiev is a
mathematician who has worked in various areas of the study. 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. He is also the author of Dynamic Geometry
of Time Scales (CRC Press). He is a co-author of Conformable
Dynamic Equations on Time Scales, with Douglas R. Anderson (CRC
Press). Khaled Zennir earned his PhD in mathematics from Sidi Bel
Abbes University, Algeria. He earned his highest diploma in
Habilitation in Mathematics from Constantine University, Algeria.
He is currently Assistant Professor at Qassim University in the
Kingdom of Saudi Arabia. His research interests lie in the subjects
of nonlinear hyperbolic partial differential equations: global
existence, blowup, and long-time behavior. The authors have also
published: Multiple Fixed-Point Theorems and Applications in the
Theory of ODEs, FDEs and PDE; Boundary Value Problems on Time
Scales, Volume 1 and Volume II, all with CRC Press.
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