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"Eigenvalue Problems" as a book category would encompass works focused on the theory, computation, and applications of eigenvalues and eigenvectors (or more generally, spectral properties of linear operators and matrices). Such books range from introductory texts explaining basic linear-algebraic eigenproblems and matrix diagonalization to advanced monographs on spectral theory, Sturm–Liouville and other operator eigenvalue problems for differential equations, perturbation theory, and generalized or nonlinear eigenproblems. They also include computational and numerical-analysis treatments (power methods, QR algorithms, finite-element approximations, and software), as well as application-driven volumes showing how eigenvalues underpin vibrations and stability analysis, quantum mechanics, signal processing and PCA, control theory, and data science. Typical readers are undergraduates and graduate students, applied mathematicians, physicists, and engineers; texts vary from problem-based primers and textbooks to research-level compilations and algorithm handbooks.

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