| Titre : |
Linear algebra and its applications |
| Type de document : |
texte imprimé |
| Auteurs : |
Peter Lax, Auteur |
| Mention d'édition : |
2nd edition |
| Editeur : |
Hoboken, NJ ; New York ; London ; Sydney ; Chichester : John Wiley |
| Année de publication : |
2007 |
| Collection : |
Pure and applied mathematics, ISSN 0079-8185 |
| Importance : |
1 vol. (ix-392 p.) |
| Format : |
25 cm |
| ISBN/ISSN/EAN : |
978-0-471-75156-4 |
| Note générale : |
". . .recommended for the teacher and researcher as well as for graduate students. In fact, [it] has a place on every mathematicians bookshelf." (source : American Mathematical Monthly) . -- PPN 12044030X |
| Langues : |
Anglais (eng) |
| Tags : |
Algebras, Linear Algèbre linéaire |
| Index. décimale : |
512.5 Algèbres linéaire, multilinéaire, multidimensionnelle |
| Résumé : |
Linear Algebra and Its Applications, Second Edition presents linear algebra as the theory and practice of linear spaces and linear maps with a unique focus on the analytical aspects as well as the numerous applications of the subject. In addition to thorough coverage of linear equations, matrices, vector spaces, game theory, and numerical analysis, the Second Edition features student–friendly additions that enhance the book?s accessibility, including expanded topical coverage in the early chapters, additional exercises, and solutions to selected problems. Beginning chapters are devoted to the abstract structure of finite dimensional vector spaces, and subsequent chapters address convexity and the duality theorem as well as describe the basics of normed linear spaces and linear maps between normed spaces. Further updates and revisions have been included to reflect the most up–to–date coverage of the topic, including :
The QR algorithm for finding the eigenvalues of a self–adjoint matrix
The Householder algorithm for turning self–adjoint matrices into tridiagonal form
The compactness of the unit ball as a criterion of finite dimensionality of a normed linear space
Additionally, eight new appendices have been added and cover topics such as: the Fast Fourier Transform; the spectral radius theorem; the Lorentz group; the compactness criterion for finite dimensionality; the characterization of commentators; proof of Liapunov?s stability criterion; the construction of the Jordan Canonical form of matrices; and Carl Pearcy?s elegant proof of Halmos? conjecture about the numerical range of matrices. |
| Note de contenu : |
Bibliogr. en fin de chapitre. Index p.373-376 |
Linear algebra and its applications [texte imprimé] / Peter Lax, Auteur . - 2nd edition . - Hoboken, NJ ; New York ; London ; Sydney ; Chichester : John Wiley, 2007 . - 1 vol. (ix-392 p.) ; 25 cm. - ( Pure and applied mathematics, ISSN 0079-8185) . ISBN : 978-0-471-75156-4 ". . .recommended for the teacher and researcher as well as for graduate students. In fact, [it] has a place on every mathematicians bookshelf." (source : American Mathematical Monthly) . -- PPN 12044030X Langues : Anglais ( eng)
| Tags : |
Algebras, Linear Algèbre linéaire |
| Index. décimale : |
512.5 Algèbres linéaire, multilinéaire, multidimensionnelle |
| Résumé : |
Linear Algebra and Its Applications, Second Edition presents linear algebra as the theory and practice of linear spaces and linear maps with a unique focus on the analytical aspects as well as the numerous applications of the subject. In addition to thorough coverage of linear equations, matrices, vector spaces, game theory, and numerical analysis, the Second Edition features student–friendly additions that enhance the book?s accessibility, including expanded topical coverage in the early chapters, additional exercises, and solutions to selected problems. Beginning chapters are devoted to the abstract structure of finite dimensional vector spaces, and subsequent chapters address convexity and the duality theorem as well as describe the basics of normed linear spaces and linear maps between normed spaces. Further updates and revisions have been included to reflect the most up–to–date coverage of the topic, including :
The QR algorithm for finding the eigenvalues of a self–adjoint matrix
The Householder algorithm for turning self–adjoint matrices into tridiagonal form
The compactness of the unit ball as a criterion of finite dimensionality of a normed linear space
Additionally, eight new appendices have been added and cover topics such as: the Fast Fourier Transform; the spectral radius theorem; the Lorentz group; the compactness criterion for finite dimensionality; the characterization of commentators; proof of Liapunov?s stability criterion; the construction of the Jordan Canonical form of matrices; and Carl Pearcy?s elegant proof of Halmos? conjecture about the numerical range of matrices. |
| Note de contenu : |
Bibliogr. en fin de chapitre. Index p.373-376 |
|
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