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Applications of Taylor Series

Applications of Taylor Series Jacob Fosso-Tande Department of Physics and Astronomy, University of Tennessee 401 Nielsen Physics Building 1408 Circle Drive (Completed 1st October, 2008; submitted 23rd October, 2008). Polynomial functions are easy to understand but complicated functions, infinite polynomials, are not obvious. Infinite polynomials are made easier when represented using Series : complicated functions are easily represented using Taylor 's Series . This representation make some functions properties easy to study such as the asymptotic behavior.

A numerical method for simulations of nonlinear sur-face water waves over variable bathymetry (study of underwater depth of third dimension of lake or ocean floor) and which is applicable to either two- or three-dimensional flows, as well as to either static or mov-ing bottom topography, is based on the reduction of the

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