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Type(s) de contenu et mode(s) de consultation : Texte : électronique

Auteur(s) : Jeffrey, Alan  Voir les notices liées en tant qu'auteur

Titre(s) : Matrix operations for engineers and scientists [Texte électronique] : an essential guide in linear algebra / Alan Jeffrey

Publication : . - Dordrecht [Netherlands] ; New York : Springer, cop. 2010

Description matérielle : 1 ressource dématérialisée

Note(s) : Includes index
"Engineers and scientists need to have an introduction to the basics of linear algebra in a context they understand. Computer algebra systems make the manipulation of matrices and the determination of their properties a simple matter, and in practical applications such software is often essential. However, using this tool when learning about matrices, without first gaining a proper understanding of the underlying theory, limits the ability to use matrices and to apply them to new problems. This book explains matrices in the detail required by engineering or science students, and it discusses linear systems of ordinary differential equations. These students require a straightforward introduction to linear algebra illustrated by applications to which they can relate. It caters of the needs of undergraduate engineers in all disciplines, and provides considerable detail where it is likely to be helpful. According to the author the best way to understand the theory of matrices is by working simple exercises designed to emphasize the theory, that at the same time avoid distractions caused by unnecessary numerical calculations. Hence, examples and exercises in this book have been constructed in such a way that wherever calculations are necessary they are straightforward. For example, when a characteristic equation occurs, its roots (the eigenvalues of a matrix) can be found by inspection. The author of this book is Alan Jeffrey, Emeritus Professor of mathematics at the Univesity of Newcastle upon Tyne. He has given courses on engineering mathematics in UK and US Universities."--Publisher's website


Sujet(s) : Matrices  Voir les notices liées en tant que sujet
Algèbre linéaire  Voir les notices liées en tant que sujet

Indice(s) Dewey : 512 (23e éd.)  Voir les notices liées en tant que sujet


Numéros : ISBN 9789048192748

Notice n° :  FRBNF44720318 (notice reprise d'un réservoir extérieur)



Table des matières : Matrices and Linear Systems of Equations ; Determinants, and Linear Independence ; Matrix Multiplication, the Inverse Matrix and Partitioning ; Systems of Linear Algebraic Equations ; Eigenvalues, Eigenvectors, Diagonalization, Similarity, Jordan Normal Forms, and Estimating Regions Containing Eigenvalues ; Systems of Linear Differential Equations ; An Introduction to Vector Spaces ; Linear Transformations and the Geometry of the Plane.

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support : document électronique dématérialisé