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Cambridge Texts In Applied Mathematics Introduction To Numerical Linear Algebra And Optimisation by Philippe G. Ciarlet with the assistance of Bernadette Miara and Jean-Marie Thomas for the exercises, translated by A. Buttigieg, Philippe Gaston Ciarlet, Ciarlet, Philippe G. is a book available to read on EtoBox.
What is Cambridge Texts In Applied Mathematics Introduction To Numerical Linear Algebra And Optimisation about?
The purpose of this book is to give a thorough introduction to the most commonly used methods of numerical linear algebra and optimisation. The prerequisites are some familiarity with the basic properties of matrices, finite-dimensional vector spaces, advanced calculus, and some elementary notions from functional analysis.The book is in two parts. The first deals with numerical linear algebra (review of matrix theory, direct and iterative methods for solving linear systems, calculation of eigenvalues and eigenvectors) and the second, optimisation (general algorithms, linear and nonlinear programming).The author has based the book on courses taught for advanced undergraduate and beginning graduate students and the result is a well-organised and lucid exposition. Summaries of basic mathematics are provided, proofs of theorems are complete yet kept as simple as possible, and applications from physics and mechanics are discussed. Professor Ciarlet has also helpfully provided over 40 line diagrams, a great many exercises (containing additional theoretical material and numerical applications), and a useful guide to further reading.This excellent textbook, which is translated and revised
- Author
- Philippe G. Ciarlet with the assistance of Bernadette Miara and Jean-Marie Thomas for the exercises, translated by A. Buttigieg, Philippe Gaston Ciarlet, Ciarlet, Philippe G.
- Publisher
- Cambridge University Press (Virtual Publishing)
- Published
- 1982
- Language
- EN
- ISBN
- 9780521327886
- Subjects
- Mathematics, Stem
More by Philippe G. Ciarlet with the assistance of Bernadette Miara and Jean-Marie Thomas for the exercises, translated by A. Buttigieg, Philippe Gaston Ciarlet, Ciarlet, Philippe G.
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