Infinite-Dimensional Spectral Computations: Foundations, Algorithms, and Modern Applications (Cambridge Monographs on Applied and Computational Mathematics) - Tapa dura

Colbrook, Matthew J.

9781009382526: Infinite-Dimensional Spectral Computations: Foundations, Algorithms, and Modern Applications (Cambridge Monographs on Applied and Computational Mathematics)

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ISBN 10: 1009382527 ISBN 13: 9781009382526

Editorial: Cambridge University Press, 2026

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Provides, explains, and proves convergent, resolvent-based algorithms for certifying infinite-dimensional spectral properties.

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Matthew J. Colbrook is Associate Professor at the University of Cambridge. His research has reshaped rigorous and practical computation of operator spectra, bridging analysis, numerical algorithms, and data science. His work has earned international prizes including the Popov Prize (approximation theory), the SIAM DiPrima Prize, and an IMA Fox Prize (numerical analysis).

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Editorial: Cambridge University Press
A�o de publicaci�n: 2026
Idioma: Ingl�s
ISBN 10: 1009382527
ISBN 13: 9781009382526
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Infinite-Dimensional Spectral Computations: Foundations, Algorithms, and Modern Applications (Cambridge Monographs on Applied and Computational Mathematics)

Colbrook, Matthew J.

Publicado por Cambridge University Press, 2026

ISBN 10: 1009382527 ISBN 13: 9781009382526

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Infinite-Dimensional Spectral Computations (Hardcover)

Matthew J. Colbrook

Publicado por Cambridge University Press, Cambridge, 2026

ISBN 10: 1009382527 ISBN 13: 9781009382526

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Hardcover. Condici�n: new. 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 our UK warehouse or from our Australian or US warehouses, depending on stock availability. N� de ref. del art�culo: 9781009382526

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Infinite-Dimensional Spectral Computations: Foundations, Algorithms, and Modern Applications

Colbrook, Matthew J.

Publicado por Cambridge University Press, 2026

ISBN 10: 1009382527 ISBN 13: 9781009382526

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Infinite-Dimensional Spectral Computations: Foundations, Algorithms, And Modern Applications

Colbrook, Matthew J. (University Of Cambridge)

Publicado por Cambridge University Press, 2026

ISBN 10: 1009382527 ISBN 13: 9781009382526

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Infinite-Dimensional Spectral Computations: Foundations, Algorithms, and Modern Applications

Colbrook, Matthew J.

Publicado por Cambridge University Press, 2026

ISBN 10: 1009382527 ISBN 13: 9781009382526

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Infinite-Dimensional Spectral Computations: Foundations, Algorithms, and Modern Applications

Colbrook, Matthew J.

Publicado por Cambridge University Press, 2026

ISBN 10: 1009382527 ISBN 13: 9781009382526

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Infinite-Dimensional Spectral Computations (Hardcover)

Matthew J. Colbrook

Publicado por Cambridge University Press, Cambridge, 2026

ISBN 10: 1009382527 ISBN 13: 9781009382526

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Hardcover. Condici�n: new. 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 our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N� de ref. del art�culo: 9781009382526

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Infinite-Dimensional Spectral Computations

Matthew J. Colbrook

Publicado por Cambridge University Press, GB, 2026

ISBN 10: 1009382527 ISBN 13: 9781009382526

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Librería: Rarewaves.com UK, London, Reino Unido

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Hardback. Condici�n: New. 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. N� de ref. del art�culo: LU-9781009382526

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