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Georgia Southern University
Approximation and Integration on Compact Subsets of Euclidean Space
Abstract
dc:description.abstractThis 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.
Degree
thesis:*- Name thesis:degree_name
- Master of Science in Mathematics (M.S.)
- Level thesis:degree_level
- Thesis (open access)
- Discipline thesis:degree_discipline
- Department of Mathematical Sciences
- Year dc:date.available
- 2008
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Randall, Rochelle E.
- Contributors dc:contributor
-
- Martha Abell
- Yan Wu
- Jeremy Levesley
Subjects
dc:subject × 6Identifiers
dc:identifier.*- Repository record dc:identifier
- https://digitalcommons.georgiasouthern.edu/etd/646
- OAI identifier oai:identifier
- oai:digitalcommons.georgiasouthern.edu:etd-1646