A first course in numerical methods /

A first course in numerical methods /

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Bibliographic Details
Author / Creator:	Ascher, U. M. (Uri M.), 1946- author.
Imprint:	Philadelphia : SIAM, Society for Industrial and Applied Mathematics, [2011] ©2011
Description:	1 online resource (xxii, 552 pages) : illustrations (some color)
Language:	English
Series:	Computational science & engineering series Computational science and engineering.
Subject:	Numerical calculations -- Data processing. Numerical analysis. Algorithms. Computer algorithms. Computer algorithms Algorithms Numerical analysis Numerical calculations -- Data processing
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/12577534

Hidden Bibliographic Details
Other authors / contributors:	Greif, Chen, 1965- author. Society for Industrial and Applied Mathematics, publisher.
ISBN:	9780898719987 0898719984 9781680157857 168015785X 0898719976 1611973333 9780898719970
Notes:	Includes bibliographical references and index. English. Online resource; title from PDF title page (SIAM, viewed September 22, 2017).
Summary:	This book is designed for students and researchers who seek practical knowledge of modern techniques in scientific computing. Avoiding encyclopedic and heavily theoretical exposition, the book provides an in-depth treatment of fundamental issues and methods, the reasons behind the success and failure of numerical software, and fresh and easy-to-follow approaches and techniques. The authors focus on current methods, issues, and software while providing a comprehensive theoretical foundation, enabling those who need to apply the techniques to successfully design solutions to nonstandard problems. The book also illustrates algorithms using the programming environment of MATLAB℗®, with the expectation that the reader will gradually become proficient in it while learning the material covered in the book. A variety of exercises are provided within each chapter along with review questions aimed at self-testing. The book takes an algorithmic approach, focusing on techniques that have a high level of applicability to engineering, computer science, and industrial mathematics.
Other form:	Print version: Ascher, U.M. (Uri M.), 1946- First course in numerical methods. Philadelphia : Society for Industrial and Applied Mathematics, ©2011 9780898719970
Publisher's no.:	CS07 SIAM

Table of Contents:

Numerical algorithms
Roundoff errors
Nonlinear equations in one variable
Linear algebra background
Linear systems: direct methods
Linear least squares problems
Linear systems : iterative methods
Eigenvalues and singular values
Nonlinear systems and optimization
Polynomial interpolation
Piecewise polynomial interpolation
Best approximation
Fourier Transform
Numerical differentiation
Numerical integration
Differential equations.