Application Of q-Calculus In Quantum Geometry

CHISOM CHINEDU | 57 pages (9659 words) | Theses
Mathematics | Co Authors: ONWUEGBULAM


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.


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CHISOM, C (2023). Application Of q-Calculus In Quantum Geometry. Retrieved Jul 17, 2024, from

MLA 8th

CHINEDU, CHISOM. "Application Of q-Calculus In Quantum Geometry", 16 May. 2023, Accessed 17 Jul. 2024.


CHINEDU, CHISOM. "Application Of q-Calculus In Quantum Geometry".,, 16 May. 2023. Web. 17 Jul. 2024. < >.


CHINEDU, CHISOM. "Application Of q-Calculus In Quantum Geometry" (2023). Accessed 17 Jul. 2024.

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