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Salgado, Abner J.

Classical numerical analysis : a comprehensive course - Cambridge : Cambridge University Press, 2022 - xxiv, 912 p. ; ill., 27 cm.

Includes bibliographical references and index.

This text provides a thorough and comprehensive exposition of all the topics contained in a classical graduate sequence in numerical analysis. With an emphasis on theory and connections with linear algebra and analysis, the book shows all the rigor of numerical analysis. Its high level and exhaustive coverage will prepare students for research in the field and become a valuable reference as they continue their career. Students will appreciate the simple notation, clear assumptions and arguments, as well as the many examples and classroom-tested exercises ranging from simple verification to qualifying exam-level problems. In addition to the many examples with hand calculations, readers will also be able to translate theory into practical computational codes by running sample MATLAB codes as they try out new concepts.

ISBN: 9781108837705

Subjects--Topical Terms:
Numerical analysis
Mathematical Analysis
Matrix Conditioning
Linear Iterative Methods;
Krylov Subspace Methods
Polynomial Interpolation
Trigonometric Interpolation
Fourier Series
SingleStep Methods
RungeKutta Methods
Linear Multistep Methods
Banach Fixed Point Theorem

Dewey Class. No.: 518 / SAL