Garman, MichaelBonnie, Jessica2016-03-092016-03-092009http://hdl.handle.net/11603/2512From the Faculty Nominator: Michael and Jessica wrote this paper as a semester project for MA 222, Calculus III. The purpose of the project was to perform an independent investigation of the generalization of the notion of curvature from 2 dimensions to 3 dimensions. The depth of the mathematics involved, coupled with the intentional lack of formal guidance on my part, made this project very challenging. Michael and Jessica took on this challenge head-on and produced a very impressive piece of work that exhibited creativity and depth of knowledge gained. This was one of the best papers I have read for this level of mathematics course in the decade I have taught at Goucher.From the Authors: The study of curvature allows us to understand the order behind the chaos we perceive in nature. Life experience may provide a general familiarity of curvature as found in our world, but the core of the concept can best be explained with the use of multivariable calculus. “Curvature in 3-Space" clarifies and explains the true meaning of curvature through an examination of the concept’s historical development and an analysis of the mathematical equations that define it. The paper also touches upon how an analysis of curvature in three dimensions might be extended to an abstract discussion of curvature in the fourth dimension. We were given the opportunity to explore this topic through an assignment in Calculus III: Multivariable Calculus.13 p.en-USCollection may be protected under Title 17 of the U.S. Copyright Law. To obtain information or permission to publish or reproduce, please contact the Goucher Special Collections & Archives at 410-337-6347 or email archives@goucher.edu.Research -- Periodicals.Humanities -- Research -- Periodicals.Social sciences -- Research -- Periodicals.Text