Term of Award
Fall 2008
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mathematical Sciences
Committee Chair
Steven Damelin
Committee Member 1
Martha Abell
Committee Member 2
Yan Wu
Committee Member 3
Jeremy Levesley
Abstract
This thesis deals with approximation of real valued functions. It considers interpolation and numerical integration of functions. It also looks at error and precision, the Weierstrass Theorem and Taylors Theorem. In addition, spherical harmonics, the Laplacian, Hilbert spaces and linear projections are considered with respect to the unit sphere. An example of distributing points equally on a sphere is illustrated and a covering theorem for a unit sphere is proved.
Recommended Citation
Randall, Rochelle E., "Approximation and Integration on Compact Subsets of Euclidean Space" (2008). Electronic Theses and Dissertations. 646.
https://digitalcommons.georgiasouthern.edu/etd/646
Research Data and Supplementary Material
No
