Spectral methods in complex systems: A perspective
Format:
Hardcover
En stock
1.40 kg
Sí
Nuevo
Amazon
USA
- Spectral Methods Complex Systems is a comprehensive yet accessible introduction to spectral methods in linear algebra and their applications across physics, computer science, and network theory. The book develops from the fundamentals — matrices, determinants, eigenvalues, and graph theory — into advanced topics such as perturbation theory, pseudospectra, functional calculus, and spectral decompositions. Throughout, emphasis is placed on practical tools and formulae rather than lengthy proofs, making the text a usable companion for students and researchers alike.The text collects an extensive library of results, identities, and worked-out equations. These mathematical tools are then placed in the context of complex systems applications: community detection, stability in ecology and economics, PageRank and ranking algorithms, epidemic spreading, synchronization, and memristive networks, among others.Intended primarily for advanced undergraduates and beginning graduate students, the book also serves as a reference for researchers who wish to approach interdisciplinary problems from a spectral perspective. By weaving together linear algebra, dynamical systems, and network science, Spectral Methods in Complex Systems offers both a technical manual and a conceptual guide to the spectral viewpoint in modern complexity research.
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