ABSTRACT
Every geometry is associated with some kind of space. Non-commutative geometry or
quantum geometry deals with quantum
spaces, including the classical concept of space as a very special case.
We consider in particular the case that deals with calculus without limits
(quantum calculus); employing the basic governing rules to obtain the
q-derivative of some standard functions such as the trigonometric, exponential,
logarithmic and hyperbolic functions. We discover that the q-derivative of
these functions collapse naturally to the Newton-Leibnitz derivatives.
We also considered q-integral which
is the inverse of the q-derivative. The Reduced q-Differential
Transform Method is presented for solving Partial q-Differential Equations, and
the result obtained shows that this iteration procedure is less complicated and
efficient when compared with the classical means of obtaining the analytical
solution.
CHISOM, C (2023). Application Of q-Calculus In Quantum Geometry. Mouau.afribary.org: Retrieved Dec 22, 2024, from https://repository.mouau.edu.ng/work/view/application-of-q-calculus-in-quantum-geometry-7-2
CHINEDU, CHISOM. "Application Of q-Calculus In Quantum Geometry" Mouau.afribary.org. Mouau.afribary.org, 16 May. 2023, https://repository.mouau.edu.ng/work/view/application-of-q-calculus-in-quantum-geometry-7-2. Accessed 22 Dec. 2024.
CHINEDU, CHISOM. "Application Of q-Calculus In Quantum Geometry". Mouau.afribary.org, Mouau.afribary.org, 16 May. 2023. Web. 22 Dec. 2024. < https://repository.mouau.edu.ng/work/view/application-of-q-calculus-in-quantum-geometry-7-2 >.
CHINEDU, CHISOM. "Application Of q-Calculus In Quantum Geometry" Mouau.afribary.org (2023). Accessed 22 Dec. 2024. https://repository.mouau.edu.ng/work/view/application-of-q-calculus-in-quantum-geometry-7-2