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Introduction to Numerical Linear Algebra and Optimisation (Cambridge Texts in Applied Mathematics, Series Number 4) - Softcover
Synopsis
Based on courses taught to advanced undergraduate students, this book offers a broad introduction to the methods of numerical linear algebra and optimization. The prerequisites are familiarity with the basic properties of matrices, finite-dimensional vector spaces and advanced calculus, and some exposure to fundamental notions from functional analysis. The book is divided into two parts. The first part deals with numerical linear algebra (numerical analysis of matrices, direct and indirect methods for solving linear systems, calculation of eigenvalues and eigenvectors) and the second, optimizations (general algorithms, linear and nonlinear programming). Summaries of basic mathematics are provided, proof of theorems are complete yet kept as simple as possible, applications from physics and mechanics are discussed, a great many exercises are included, and there is a useful guide to further reading.
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Language Notes
Text: English, French (translation)
Review
"...a very thorough introduction to the common numerical methods used in linear algebra and optimization theory. The text is well written..." Choice
"...gives exact and, in most cases, exceedingly elegant proofs of the existence and convergence theorems underlying the commonly used algorithms and clearly presents the necessary mathematical background beyond that of a general requirement of elementary linear algebra and advanced calculus." Computing Reviews
"...certainly a valuable and welcome addition to the literature. It is a joy to read for those who have a solid background in mathematics." Bulletin of the International Linear Algebra Society
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date1989
- ISBN 10 0521339847
- ISBN 13 9780521339841
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages452
- Rating
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Introduction to Numerical Linear Algebra and Optimisation (Cambridge Texts in Applied Mathematics, Series Number 4)
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Cambridge University Press (edition 1), 1989
ISBN 10: 0521339847
ISBN 13: 9780521339841
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Introduction to Numerical Linear Algebra and Optimisation (Cambridge Texts in Applied Mathematics, Series Number 4)
Published by
Cambridge University Press, 1989
ISBN 10: 0521339847
ISBN 13: 9780521339841
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Introduction to Numerical Linear Algebra and Optimisation (Cambridge Texts in Applied Mathematics, Series Number 4)
Published by
Cambridge University Press, 1989
ISBN 10: 0521339847
ISBN 13: 9780521339841
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Introduction to Numerical Linear Algebra and Optimisation (Cambridge Texts in Applied Mathematics, Series Number 4)
Published by
Cambridge University Press, 1989
ISBN 10: 0521339847
ISBN 13: 9780521339841
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Introduction to Numerical Linear Algebra and Optimisation
Published by
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ISBN 10: 0521339847
ISBN 13: 9780521339841
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Introduction to Numerical Linear Algebra and Optimisation
Published by
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ISBN 10: 0521339847
ISBN 13: 9780521339841
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Introduction to Numerical Linear Algebra and Optimisation (Cambridge Texts in Applied Mathematics, Series Number 4)
Published by
Cambridge University Press, 1989
ISBN 10: 0521339847
ISBN 13: 9780521339841
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Introduction to Numerical Linear Algebra and Optimisation (Cambridge Texts in Applied Mathematics, Series Number 4)
Published by
Cambridge University Press, 1989
ISBN 10: 0521339847
ISBN 13: 9780521339841
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