On line integrals and Green's theorem for time scales: A discussion with some illustrations

Time scale calculus is the study of concepts like derivatives and integrals applied to a set T called a time scale. A time scale is any nonempty closed subset of the real numbers equipped with the standard topology. This paper is an exposition of the paper by Bohner and Guseinov entitled Line Integr...

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Main Author: Concepcion, Edward Roy G.
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Language:English
Published: Animo Repository 2019
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Online Access:https://animorepository.dlsu.edu.ph/etd_masteral/5842
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Institution: De La Salle University
Language: English
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spelling oai:animorepository.dlsu.edu.ph:etd_masteral-126802020-12-10T01:50:15Z On line integrals and Green's theorem for time scales: A discussion with some illustrations Concepcion, Edward Roy G. Time scale calculus is the study of concepts like derivatives and integrals applied to a set T called a time scale. A time scale is any nonempty closed subset of the real numbers equipped with the standard topology. This paper is an exposition of the paper by Bohner and Guseinov entitled Line Integrals and Green’s Formula on time scales. Detailed proofs are provided for each result and computational examples are provided for delta and nabla integrals for the time scale T = {0} ∪ {1 n : n ∈ N} to illustrate Green’s Theorem. 2019-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_masteral/5842 Master's Theses English Animo Repository Calculus Integrals Integral theorems Geometry and Topology Mathematics
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
language English
topic Calculus
Integrals
Integral theorems
Geometry and Topology
Mathematics
spellingShingle Calculus
Integrals
Integral theorems
Geometry and Topology
Mathematics
Concepcion, Edward Roy G.
On line integrals and Green's theorem for time scales: A discussion with some illustrations
description Time scale calculus is the study of concepts like derivatives and integrals applied to a set T called a time scale. A time scale is any nonempty closed subset of the real numbers equipped with the standard topology. This paper is an exposition of the paper by Bohner and Guseinov entitled Line Integrals and Green’s Formula on time scales. Detailed proofs are provided for each result and computational examples are provided for delta and nabla integrals for the time scale T = {0} ∪ {1 n : n ∈ N} to illustrate Green’s Theorem.
format text
author Concepcion, Edward Roy G.
author_facet Concepcion, Edward Roy G.
author_sort Concepcion, Edward Roy G.
title On line integrals and Green's theorem for time scales: A discussion with some illustrations
title_short On line integrals and Green's theorem for time scales: A discussion with some illustrations
title_full On line integrals and Green's theorem for time scales: A discussion with some illustrations
title_fullStr On line integrals and Green's theorem for time scales: A discussion with some illustrations
title_full_unstemmed On line integrals and Green's theorem for time scales: A discussion with some illustrations
title_sort on line integrals and green's theorem for time scales: a discussion with some illustrations
publisher Animo Repository
publishDate 2019
url https://animorepository.dlsu.edu.ph/etd_masteral/5842
_version_ 1772835798942482432