Introduction to Numerical Linear Algebra and Optimisation (Cambridge Texts in Applied Mathematics, Series Number 4) 1st Edition by Philippe G. Ciarlet (PDF)

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Ebook Info

  • Published: 1989
  • Number of pages: 452 pages
  • Format: PDF
  • File Size: 25.94 MB
  • Authors: Philippe G. Ciarlet

Description

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.

User’s Reviews

Editorial Reviews: 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

Reviews from Amazon users which were colected at the time this book was published on the website:

Keywords

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Introduction to Numerical Linear Algebra and Optimisation (Cambridge Texts in Applied Mathematics, Series Number 4) 1st Edition PDF Free Download
Download Introduction to Numerical Linear Algebra and Optimisation (Cambridge Texts in Applied Mathematics, Series Number 4) 1st Edition 1989 PDF Free
Introduction to Numerical Linear Algebra and Optimisation (Cambridge Texts in Applied Mathematics, Series Number 4) 1st Edition 1989 PDF Free Download
Download Introduction to Numerical Linear Algebra and Optimisation (Cambridge Texts in Applied Mathematics, Series Number 4) 1st Edition PDF
Free Download Ebook Introduction to Numerical Linear Algebra and Optimisation (Cambridge Texts in Applied Mathematics, Series Number 4) 1st Edition

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