Title

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

Date of Publication

2019

Document Type

Master's Thesis

Degree Name

Master of Science in Mathematics

Subject Categories

Geometry and Topology | Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics Department

Abstract/Summary

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.

Abstract Format

html

Language

English

Format

Electronic

Accession Number

CDTG007341

Shelf Location

Archives, The Learning Commons, 12F Henry Sy Sr. Hall

Physical Description

1 computer disc ; 4 3/4 in.

Keywords

Calculus; Integrals; Integral theorems

This document is currently not available here.

Share

COinS