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

This item is only available in print in the UCF Libraries. If this is your thesis or dissertation, you can help us make it available online for use by researchers around the world by downloading and filling out the Internet Distribution Consent Agreement. You may also contact the project coordinator Kerri Bottorff for more information.

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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