Some N-Dimensional analytic geometry : angles and more

Abstract

The idea of lines and angles in the two dimensional space is a fairly simple and intuitive idea. However, as we move to N-dimensions, this idea may not be as intuitive. In this project, we are going to take the intuitive ideas in a plane and move to a higher dimensional space. We will introduce some machinery, such as the wedge product and the Hodge star operator, which will assist us to investigate these concepts in N-dimensions. We will then look at what we mean by oriented volume of an object in N-dimensions. This will lead us to interesting generalizations of two well-known ideas: the Pythagorean theorem and the law of cosines

Notes

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Thesis Completion

2002

Semester

Summer

Advisor

Taylor, Michael D.

Degree

Bachelor of Science (B.S.)

College

College of Arts and Sciences

Degree Program

Mathematics

Subjects

Arts and Sciences -- Dissertations, Academic;Dissertations, Academic -- Arts and Sciences

Format

Print

Identifier

DP0021720

Language

English

Access Status

Open Access

Length of Campus-only Access

None

Document Type

Honors in the Major Thesis

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