Infinite-Dimensional Spectral Computations (Hardcover)

Language: English

Published by Cambridge University Press, Cambridge, 2026

1009382527 / 9781009382526

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Hardcover. Mathematicians, physicists, engineers, and data scientists will welcome this comprehensive, rigorous, and practical guide to computing spectral properties of operators in infinite-dimensional settings. It explains why standard discretisation can fail and shows how to overcome these pitfalls. It develops resolvent-based algorithms with provable convergence and certified error bounds, organised by a precise computability classification that clarifies what is achievable, what is impossible, and what extra information makes problems tractable. Topics include spectra and pseudospectra, spectral measures and functional calculus, spectral types, fractal and Cantor-type spectra, essential versus discrete spectra and multiplicities, spectral radii, abscissas and gaps, nonlinear operator pencils, and verified computation. A distinctive feature is the integration of modern applications, including a fully rigorous treatment of data-driven Koopman spectral analysis. Hundreds of worked examples, exercises with solutions, notes, and usable code make the book both a reference and a powerful toolkit for researchers and students. For mathematicians, physicists, engineers, and data scientists computing spectra in infinite-dimensional systems, this book explains why standard discretisations can fail and provides practical, provably correct algorithms with clear guidance on what can and cannot be computed bridging theory, computation, and modern data-driven applications. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

Seller Inventory # 9781009382526

Title
Infinite-Dimensional Spectral Computations (Hardcover)
Author
Matthew J. Colbrook
Publisher
Cambridge University Press, Cambridge
Publication year
2026
Condition
new
Binding
Hardcover
Language
English
ISBN 10
1009382527
ISBN 13
9781009382526

Grand Eagle Retail

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