Explorations in numerical analysis [electronic resource] / James V. Lambers, Amber C. Sumner.
By: Lambers, James V.
Contributor(s): Sumner, Amber C.
Material type: Computer filePublisher: Singapore : World Scientific Publishing Co. Pte Ltd., ©2019Description: 1 online resource (676 p.) : ill.ISBN: 9789813220027.Subject(s): Numerical analysis -- Textbooks | Electronic booksDDC classification: 518.0285/536 Online resources: Access to full text is restricted to subscribers. Summary: "This textbook introduces advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of algorithms for the approximate solution of mathematical problems that arise in applications spanning science and engineering, and are not practical to solve using analytical techniques such as those taught in courses in calculus, linear algebra or differential equations. Topics covered include error analysis, computer arithmetic, solution of systems of linear equations, least squares problems, eigenvalue problems, polynomial interpolation and approximation, numerical differentiation and integration, nonlinear equations, optimization, ordinary differential equations, and partial differential equations. For each problem considered, the presentation includes the derivation of solution techniques, analysis of their efficiency, accuracy and robustness, and details of their implementation, illustrated through the MATLAB programming language. This text is suitable for a year-long sequence in numerical analysis, and can also be used for a one-semester course in numerical linear algebra."-- Publisher's website.System requirements: Adobe Acrobat Reader.
Mode of access: World Wide Web.
Title from web page (viewed January 22, 2019).
Includes bibliographical references and index.
"This textbook introduces advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of algorithms for the approximate solution of mathematical problems that arise in applications spanning science and engineering, and are not practical to solve using analytical techniques such as those taught in courses in calculus, linear algebra or differential equations. Topics covered include error analysis, computer arithmetic, solution of systems of linear equations, least squares problems, eigenvalue problems, polynomial interpolation and approximation, numerical differentiation and integration, nonlinear equations, optimization, ordinary differential equations, and partial differential equations. For each problem considered, the presentation includes the derivation of solution techniques, analysis of their efficiency, accuracy and robustness, and details of their implementation, illustrated through the MATLAB programming language. This text is suitable for a year-long sequence in numerical analysis, and can also be used for a one-semester course in numerical linear algebra."-- Publisher's website.
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