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Selfadjoint operators --- Decomposition (Mathematics) --- Spectral theory (Mathematics) --- Opérateurs auto-adjoints --- Décomposition (Mathématiques) --- Spectre (Mathématiques)

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Decomposition (Mathematics) --- Invariants --- Measure theory --- Multivariate analysis --- Décomposition (Mathématiques) --- Analyse multidimensionnelle --- Mesure, Théorie de la --- Analyse multivariée --- Décomposition (Mathématiques) --- Mesure, Théorie de la --- Analyse multivariée

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The Banach-Tarski paradox is a most striking mathematical construction: it asserts that a solid ball may be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large as the original. This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, and logic. It unifies the results of contemporary research on the paradox and presents several new results including some unusual paradoxes in hyperbolic space. It also provides up-to-date proofs and discusses many unsolved problems.

Banach-Tarski paradox --- Measure theory --- Decomposition (Mathematics) --- Banach-Tarski paradox. --- Decomposition (Mathematics). --- Measure theory. --- Lebesgue measure --- Measurable sets --- Measure of a set --- Algebraic topology --- Integrals, Generalized --- Measure algebras --- Rings (Algebra) --- Mathematics --- Probabilities --- Paradox, Banach-Tarski --- Axiom of choice --- Sphere --- Décomposition (Mathématiques) --- Mesure, Théorie de la

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Heat equation. --- Eisenstein series. --- Decomposition (Mathematics) --- Function spaces. --- Equation de la chaleur --- Eisenstein, Séries d' --- Décomposition (Mathématiques) --- Espaces fonctionnels --- 51 <082.1> --- Mathematics--Series --- Équation de la chaleur --- Eisenstein, Séries d' --- Décomposition (Mathématiques) --- Eisenstein series --- Function spaces --- Heat equation --- Diffusion equation --- Heat flow equation --- Differential equations, Parabolic --- Spaces, Function --- Functional analysis --- Series, Eisenstein --- Automorphic functions --- Mathematics --- Probabilities --- Eisenstein, Séries d'. --- Équation de la chaleur. --- Espaces fonctionnels.

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Offers a comprehensive presentation of some of the successful domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. This book places strong emphasis on both algorithmic and mathematical aspects. It covers some important methods such as FETI and balancing Neumann-Neumann methods.

Decomposition (Mathematics) --- Differential equations, Partial --- Décomposition (Mathématiques) --- Equations aux dérivées partielles --- 519.63 --- Numerical methods for solution of partial differential equations --- Decomposition method. --- Differential equations, Partial. --- Decomposition method --- Mathematics --- Civil & Environmental Engineering --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Operations Research --- Mathematics - General --- Calculus --- 519.63 Numerical methods for solution of partial differential equations --- Décomposition (Mathématiques) --- Equations aux dérivées partielles --- EPUB-LIV-FT LIVMATHE SPRINGER-B --- Partial differential equations --- Method, Decomposition --- Mathematics. --- Microprocessors. --- Software engineering. --- Mathematical analysis. --- Analysis (Mathematics). --- Computer mathematics. --- Numerical analysis. --- Computational Mathematics and Numerical Analysis. --- Analysis. --- Numerical Analysis. --- Computational Science and Engineering. --- Processor Architectures. --- Software Engineering/Programming and Operating Systems. --- Mathematical analysis --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- 517.1 Mathematical analysis --- Computer software engineering --- Engineering --- Minicomputers --- Math --- Science --- Operations research --- Programming (Mathematics) --- System analysis --- Computer science --- Global analysis (Mathematics). --- Computer science. --- Informatics --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic