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Differential equations, Partial --- Spectral theory (Mathematics) --- Numerical solutions --- Data processing. --- 517.95 --- -Spectral theory (Mathematics) --- #TELE:SISTA --- 515.7222 --- Functional analysis --- Hilbert space --- Measure theory --- Transformations (Mathematics) --- Partial differential equations --- -Data processing --- MATLAB. --- MATLAB (Computer program) --- Matrix laboratory --- Spectral theory (Mathematics). --- 517.95 Partial differential equations --- Numerical solutions&delete& --- Data processing --- MATLAB (Computer file) --- Differential equations, Partial - Numerical solutions - Data processing.
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Functional analysis --- Mathematical analysis --- Numerical approximation theory
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Acclaimed mathematician Lloyd N Trefethen, Professor of Numerical Analysis at Oxford University, has created an intellectual diary, marking the development of his interests and ideas, since his teenage years. This book collects these ideas, which represent observations in subjects ranging from astronomy to family life, and from music to politics.
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Spectral theory (Mathematics) --- Spectrum analysis --- Eigenvalues --- Differential operators --- Spectre (Mathématiques) --- Analyse spectrale --- Valeurs propres --- Opérateurs différentiels --- 517.98 --- 512.643 --- Functional analysis and operator theory --- Matrices and linear mappings. Matrix theory. Determinants. Eigenvalues --- 512.643 Matrices and linear mappings. Matrix theory. Determinants. Eigenvalues --- 517.98 Functional analysis and operator theory --- Spectre (Mathématiques) --- Opérateurs différentiels --- Analysis, Spectrum --- Spectra --- Spectrochemical analysis --- Spectrochemistry --- Spectroscopy --- Chemistry, Analytic --- Interferometry --- Optics --- Radiation --- Wave-motion, Theory of --- Absorption spectra --- Light --- Spectroscope --- Functional analysis --- Hilbert space --- Measure theory --- Transformations (Mathematics) --- Matrices --- Operators, Differential --- Differential equations --- Operator theory --- Qualitative --- Spectrometry --- Analytical chemistry --- Mathematical analysis
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Pure and applied mathematicians, physicists, scientists, and engineers use matrices and operators and their eigenvalues in quantum mechanics, fluid mechanics, structural analysis, acoustics, ecology, numerical analysis, and many other areas. However, in some applications the usual analysis based on eigenvalues fails. For example, eigenvalues are often ineffective for analyzing dynamical systems such as fluid flow, Markov chains, ecological models, and matrix iterations. That's where this book comes in. This is the authoritative work on nonnormal matrices and operators, written by the authorities who made them famous. Each of the sixty sections is written as a self-contained essay. Each document is a lavishly illustrated introductory survey of its topic, complete with beautiful numerical experiments and all the right references. The breadth of included topics and the numerous applications that provide links between fields will make this an essential reference in mathematics and related sciences.
Spectral theory (Mathematics) --- Eigenvalues. --- Differential operators. --- Spectrum analysis. --- Arnoldi iteration. --- EigTool. --- Fresnel number. --- Hilbert space. --- Jordan block. --- Lanczos iteration. --- MATLAB. --- Schur decomposition. --- Zworski, Maciej. --- adjoint operator. --- boundary conditions. --- circulant matrix. --- control theory. --- diagonalization. --- group velocity. --- invariant subspace. --- logarithmic norm. --- microlocal analysis. --- nonnormality. --- numerical range. --- phase velocity. --- pseudoeigenvector. --- quantum mechanics. --- semigroup. --- time scales. --- variable coefficients. --- vibration. --- wave packet.
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This book provides a comprehensive look at the Schwarz-Christoffel transformation, including its history and foundations, practical computation, common and less common variations, and many applications in fields such as electromagnetism, fluid flow, design and inverse problems, and the solution of linear systems of equations. It is an accessible resource for engineers, scientists, and applied mathematicians who seek more experience with theoretical or computational conformal mapping techniques. The most important theoretical results are stated and proved, but the emphasis throughout remains on concrete understanding and implementation, as evidenced by the 76 figures based on quantitatively correct illustrative examples. There are over 150 classical and modern reference works cited for readers needing more details. There is also a brief appendix illustrating the use of the Schwarz-Christoffel Toolbox for MATLAB, a package for computation of these maps.
Conformal mapping. --- Conformal representation of surfaces --- Mapping, Conformal --- Transformation, Conformal --- Geometric function theory --- Mappings (Mathematics) --- Surfaces, Representation of --- Transformations (Mathematics) --- Schwarz-Christoffel transformation --- 517.54 --- 517.95 --- 517.95 Partial differential equations --- Partial differential equations --- 517.54 Conformal mapping and geometric problems in the theory of functions of a complex variable. Analytic functions and their generalizations --- Conformal mapping and geometric problems in the theory of functions of a complex variable. Analytic functions and their generalizations --- S-C transformation --- Schwarz-Christoffel formula --- Schwarz-Christoffel mapping --- Conformal mapping --- Schwarz-Christoffel transformation. --- Applications conformes --- Numerical analysis
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