Spectra and Pseudospectra
The Behavior of Nonnormal Matrices and Operators
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Spectra and Pseudospectra by Lloyd N. Trefethen
Book DescriptionPure and applied mathematicians, physicists, scientists, and engineers use matrices and operators and their eigenvalues in quantum mechanics, fluid mechanics, structural analysis, acoustics, ecology, numerical analysis, and many other areas. However, in some applications the usual analysis based on eigenvalues fails. For example, eigenvalues are often ineffective for analyzing dynamical systems such as fluid flow, Markov chains, ecological models, and matrix iterations. That's where this book comes in. This is the authoritative work on nonnormal matrices and operators, written by the authorities who made them famous. Each of the sixty sections is written as a self-contained essay. Each document is a lavishly illustrated introductory survey of its topic, complete with beautiful numerical experiments and all the right references. The breadth of included topics and the numerous applications that provide links between fields will make this an essential reference in mathematics and related sciences.
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Book DetailsISBN: 9780691119465
(229mm x 152mm x 33mm)
Imprint: Princeton University Press
Publisher: Princeton University Press
Publish Date: 18-Jul-2005
Country of Publication: United States
Books By Author Lloyd N. Trefethen
Approximation Theory and Approximation Practice, Paperback (January 2013)
An original and modern treatment of approximation theory for students in applied mathematics. Includes exercises, illustrations and Matlab code.
Trefethen's Index Cards, Paperback (June 2011)
Acclaimed mathematician Lloyd N Trefethen, Professor of Numerical Analysis at Oxford University, has created an intellectual diary, marking the development of his interests and ideas, since his teenage years. This book collects these ideas, which represent observations in subjects ranging from astronomy to family life, and from music to politics.
Schwarz-Christoffel Mapping, Hardback (June 2002)
A comprehensive look at the Schwarz-Christoffel transformation, including its many applications.
Spectral Methods in MATLAB, Paperback (July 2000)» View all books by Lloyd N. Trefethen
This is the only book on spectral methods built around MATLAB programs.
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Author Biography - Lloyd N. Trefethen
Lloyd N. Trefethen is Professor of Numerical Analysis and Head of the Numerical Analysis Group at the University of Oxford. Mark Embree is Assistant Professor of Computational and Applied Mathematics at Rice University.
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