Curvature of Surfaces in 3-Space
Links to Fileshttp://blogs.goucher.edu/verge/6-2/
MetadataShow full item record
Type of Work13 p.
RightsCollection 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 firstname.lastname@example.org.
SubjectsResearch -- Periodicals.
Humanities -- Research -- Periodicals.
Social sciences -- Research -- Periodicals.
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.