Space curves: Curvature and torsion

Date of Publication

1976

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

This paper deals particularly with the problem in Metric Differential Geometry of proving the existence of a curve with a well defined curvature and torsion. The topic is a preliminary to the Theory of Surfaces which is useful in the fields of physics, surveying and navigation. It discusses theorems and proofs such as the following fundamental theorem: Let k(s) 0 and t(s) be defined in I = & s: 0 s r . If k(s) and t(s) are continuous functions on I, then there exists a curve C: r

Abstract Format

html

Language

English

Format

Print

Accession Number

TU02269

Shelf Location

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

Physical Description

23 leaves

Keywords

Calculus

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