Mathematical Analysis for Modeling

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Mathematical Analysis for Modeling provides you with better comprehension of how mathematics is developed for, and applies to, solving scientific and engineering problems. The author stresses developing mathematical descriptions of scientific and engineering situations, rather than rote memorization of proofs and formulas. Emphasis is placed on algorithms as solutions to problems, and on insight rather than on formal derivations. This book is for those who intend to conduct research in areas of science requiring the use and understanding of a substantial amount of mathematics, but who may not be well-versed in such applications. TOC:Finite Differences Local Linear Description Graphing and Solution of Equations Recovering Global Information - Integration The Elementary Transcendental Functions Taylors Theorem Infinite Series Multivariable Differential Calculus Coordinate Systems - Linear Algebra Matrices Orthogonal Complements Multivariable Integration Preferred Coordinate Systems in n Dimensions Preferred Coordinate Systems in Function Spaces - Transforms Generalized Functions Epilogue - Further Topics in the Mathematics of Modeling Index