A Mathematical Development of Minimal Surface Theory: From Soap Films to Black Holes

<p>Minimal surfaces are a special subset of surfaces that have gone through a long and extensive development and have also led to many fruitful findings in mathematics. Several periods that are key to the progression of the theory are coined as Golden Ages for the field’s development. Here, a historical and mathematical development of minimal surface theory is presented that spans from its inception in the late 18th century to the present day. Along with the development, there is an emphasis on showing connections of minimal surfaces to various natural phenomena that occur such as soap films, black holes, biological systems, etc. Lastly, it is discussed briefly where the field is currently and where its future lies beyond.</p>

Name thesis:degree_name

Mathematics

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Mathematics and Philosophy

Year dc:date.available

2020

Author dc:creator

• Pitts, Timothy

Contributors dc:contributor

• Dr. Carlos Almada
• Dr. Eugen Ionascu
• Dr. Timothy Howard

• Minimal Surface Theory
• Soap Films
• Black Holes
• Mathematics
• Special Functions

Language dc:language

English

Repository record dc:identifier

https://csuepress.columbusstate.edu/theses_dissertations/389

OAI identifier oai:identifier

oai:csuepress.columbusstate.edu:theses_dissertations-1391