An Introduction to Numerical Methods with MATLAB

Authors:
Gerald W. Recktenwald
Affiliations:
-
Venue:
An Introduction to Numerical Methods with MATLAB
Year:
2000

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Abstract

From the Publisher:The outstanding pedagogical features of this book are: use of numerical experiments as a means of learning why numerical methods work and how they fail a separate chapter reviewing the basics of applied linear algebra, and how computations involving matrices and vectors are naturally expressed in MATLAB use of a range of examples from those that provide a succinct illustration of a basic algorithm, to those that develop solutions to substantial problems in engineering consistent use of well-documented and structured code written in the MATLAB idiom a library of general purpose routinesthe NMM Toolboxthat are readily applied to new problems a progressive approach to algorithm development leading the reader to an understanding of the more sophisticated routines in the built-in MATLAB toolbox. The primary goals of the book are to provide a solid foundation in applied computing, and to demonstrate the implementation and application of standard numerical methods to practical problems. This is achieved by a systematic development of techniques beginning with the simple and ending with the sophisticated. Good programming practice is used throughout to show the reader how to clearly express and document computational ideas. By providing an extensive library of working codes, as well as an exposition of the methods used by the built-in MATLAB toolbox, the reader is challenged by the application of numerical methods to practical problems. This bypasses the ritual of forcing the reader to reinvent simple programs that fail on more technologically significant, practical problems.