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Differential Equations: Theory and Applications: with Maple®

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Author(s): David Betounes (auth.)
Publisher: Springer New York
Year: 2001

Language: English
Pages: 686
Tags: Analysis; Numerical Analysis

Front Matter....Pages i-xiv
Introduction....Pages 1-32
Techniques, Concepts, and Examples....Pages 33-73
Existence and Uniqueness: The Flow Map....Pages 75-113
One-Dimensional Systems....Pages 115-155
Linear Systems....Pages 157-229
Linearization and Transformation....Pages 231-274
Stability Theory....Pages 275-322
Integrable Systems....Pages 323-360
Newtonian Mechanics....Pages 361-462
Motion on a Submanifold....Pages 463-540
Hamiltonian Systems....Pages 541-588
Back Matter....Pages 589-680