Nature through the Lens of Number Theory

Simple item page
dc.contributor.advisorHunziker, Markus, 1968-
dc.contributor.authorPeirce, Emily
dc.contributor.departmentMathematics.en_US
dc.contributor.otherBaylor University.en_US
dc.contributor.schoolsHonors College.en_US
dc.date.accessioned2015-06-24T15:52:55Z
dc.date.available2015-06-24T15:52:55Z
dc.date.copyright2015
dc.description.abstractThough we might not recognize it, mathematics is manifested in the world around us. To begin to see an example of this, we first develop the theory that links together the Fibonacci numbers, the Golden Ratio, and continued fractions to ultimately present some well-known (and some less well-known) results on the best approximation of irrational numbers by fractions. A discussion on irrationality, specifically with regard to the Golden Ratio, brings us to the conclusion that the Golden Ratio is among the most irrational numbers of the real line. Armed with this theory, we then examine the mechanics behind plant growth and discover surprising connections between mathematics and flower development. Through an in-depth understanding of the mathematical tools and number-theoretic results initially outlined, we are brought to a deeper appreciation of the Creation that surrounds us as we recognize the order and pattern that exist in the natural world.en_US
dc.identifier.urihttp://hdl.handle.net/2104/9412
dc.language.isoen_USen_US
dc.rightsBaylor University projects are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. Contact libraryquestions@baylor.edu for inquiries about permission.en_US
dc.rights.accessrightsWorldwide accessen_US
dc.subjectNumber theory.en_US
dc.subjectSpiral phyllotaxis.en_US
dc.titleNature through the Lens of Number Theoryen_US
dc.typeThesisen_US

Files

Original bundle

Now showing 1 - 2 of 2
No Thumbnail Available
Name:
KIC Document.pdf
Size:
575.79 KB
Format:
Adobe Portable Document Format
Description:
Permissions Form
Download
Thumbnail Image
Name:
emily_peirce_honorsthesis.pdf
Size:
645.83 KB
Format:
Adobe Portable Document Format
Description:
Thesis
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.87 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Theses - Honors College