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612-822-4611
Nonlinear Science: Emergence and Dynamics of Coherent Structures

Nonlinear Science: Emergence and Dynamics of Coherent Structures

Hardcover

Series: Oxford Texts in Applied and Engineering Mathematics, Book 8

General Mathematics

ISBN10: 0198528523
ISBN13: 9780198528524
Publisher: OUP Oxford
Published: Dec 4 2003
Pages: 496
Weight: 1.81
Height: 1.24 Width: 6.30 Depth: 9.30
Language: English
Much mathematical modeling has involved the assumption that physical systems are approximately linear, leading to the construction of equations which although relatively easy to solve, are unrealistic and overlook significant phenomena. Models assuming nonlinear systems however lead to the emergence of new structures that reflect reality much more closely. This second edition of Nonlinear Science places a strong emphasis on applications to realistic problems. It includes numerous new topics such as empirical results in molecular dynamics, solid-state physics, neuroscience, fluid dynamics, and biophysics; numerous new exercises and solutions; updated sections on nerve impulse dynamics, quantum theory of pump-probe measures, and local modes on lattices. With over 350 problems, including hints and solutions, this is an invaluable resource for graduate students and researchers in the applied sciences, mathematics, biology, physics and engineering.

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General Mathematics