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|a Linz, Peter,
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|a Theoretical numerical analysis :
|b an introduction to advanced techniques /
|c Peter Linz
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|a Newburyport :
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|a Concise text focuses on fundamentals of functional analysis and approximation theory, the major results of theoretical numerical analysis, and specific topics that illustrate the power and usefulness of theoretical analysis. 1979 edition
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|a This concise text introduces numerical analysis as a practical, problem-solving discipline. The three-part presentation begins with the fundamentals of functional analysis and approximation theory. Part II outlines the major results of theoretical numerical analysis, reviewing product integration, approximate expansion methods, the minimization of functions, and related topics. Part III considers specific subjects that illustrate the power and usefulness of theoretical analysis. Ideal as a text for a one-year graduate course, the book also offers engineers and scientists experienced in numerical computing a simple introduction to the major ideas of modern numerical analysis. Some practical experience with computational mathematics and the ability to relate this experience to new concepts is assumed. Otherwise, no background beyond advanced calculus is presupposed. Moreover, the ideas of functional analysis used throughout the text are introduced and developed only to the extent they are needed
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|a Includes bibliographical references and index
|
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|a Basic concepts -- Approximation theory -- Theoretical aspects of computational mathematics -- The approximate solution of linear operator equations -- The nonlinear inverse problem -- Special topics -- The finite element method -- The solution of nonlinear operator equations -- The solution of improperly posed problems
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|a Numerical analysis.
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|a Analyse numérique.
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|a MATHEMATICS
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|i Print version:
|a Linz, Peter.
|t Theoretical numerical analysis.
|b 2019 Dover edition.
|d Mineola, New York : Dover Publications, Inc., 2019
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