| Titre : |
Advanced Linear Algebra with Applications |
| Type de document : |
texte imprimé |
| Auteurs : |
Mohammad Ashraf, Auteur ; Vincenzo De Filippis, Auteur ; Mohammad Aslam Siddeeque, Auteur |
| Mention d'édition : |
1éd. |
| Editeur : |
France : Springer Verlag Singapore |
| Année de publication : |
2022 |
| Importance : |
495p. |
| Présentation : |
Couverture externe,figures |
| Format : |
24x16 cm |
| ISBN/ISSN/EAN : |
978-981-1621697-- |
| Note générale : |
References:p.489
Index:p.491 |
| Langues : |
Anglais moyen (ca.1100-1500) (enm) Langues originales : Anglais moyen (ca.1100-1500) (enm) |
| Catégories : |
2 Science
|
| Mots-clés : |
Advanced Linear Algebra |
| Index. décimale : |
512 |
| Résumé : |
This book provides a comprehensive knowledge of linear algebra for graduate and undergraduate courses. As a self-contained text, it aims at covering all important areas of the subject, including algebraic structures, matrices and systems of linear equations, vector spaces, linear transformations, dual and inner product spaces, canonical, bilinear, quadratic, sesquilinear, Hermitian forms of operators and tensor products of vector spaces with their algebras. The last three chapters focus on empowering readers to pursue interdisciplinary applications of linear algebra in numerical methods, analytical geometry and in solving linear system of differential equations. A rich collection of examples and exercises are present at the end of each section to enhance the conceptual understanding of readers. Basic knowledge of various notions, such as sets, relations, mappings, etc., has been pre-assumed. |
| Note de contenu : |
1-Algebraic Structures and Matrices
2-Vector spaces
3-Linear transformations
4-Dual spaces
5-Inner product spaces
6-Canonical forms of an operator
7-Bilinear and quadratic forms
8-Sesquilinear and hermitian forms
9-Tensors and their algebras
10-Applications of linear Algebra to numerical methods
11-Affine and euclidean spaces and applications of linear algebra to geometry
12-ordinary differential equations and linear systems of ordinary differential equations |
Advanced Linear Algebra with Applications [texte imprimé] / Mohammad Ashraf, Auteur ; Vincenzo De Filippis, Auteur ; Mohammad Aslam Siddeeque, Auteur . - 1éd. . - [S.l.] : France : Springer Verlag Singapore, 2022 . - 495p. : Couverture externe,figures ; 24x16 cm. ISBN : 978-981-1621697-- References:p.489
Index:p.491 Langues : Anglais moyen (ca.1100-1500) ( enm) Langues originales : Anglais moyen (ca.1100-1500) ( enm)
| Catégories : |
2 Science
|
| Mots-clés : |
Advanced Linear Algebra |
| Index. décimale : |
512 |
| Résumé : |
This book provides a comprehensive knowledge of linear algebra for graduate and undergraduate courses. As a self-contained text, it aims at covering all important areas of the subject, including algebraic structures, matrices and systems of linear equations, vector spaces, linear transformations, dual and inner product spaces, canonical, bilinear, quadratic, sesquilinear, Hermitian forms of operators and tensor products of vector spaces with their algebras. The last three chapters focus on empowering readers to pursue interdisciplinary applications of linear algebra in numerical methods, analytical geometry and in solving linear system of differential equations. A rich collection of examples and exercises are present at the end of each section to enhance the conceptual understanding of readers. Basic knowledge of various notions, such as sets, relations, mappings, etc., has been pre-assumed. |
| Note de contenu : |
1-Algebraic Structures and Matrices
2-Vector spaces
3-Linear transformations
4-Dual spaces
5-Inner product spaces
6-Canonical forms of an operator
7-Bilinear and quadratic forms
8-Sesquilinear and hermitian forms
9-Tensors and their algebras
10-Applications of linear Algebra to numerical methods
11-Affine and euclidean spaces and applications of linear algebra to geometry
12-ordinary differential equations and linear systems of ordinary differential equations |
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