Matrix Calculus and Kronecker Product: A Practical Approach to Linear and Multilinear Algebra - Couverture rigide

Steeb, Willi-hans; Hardy, Yorick

 
9789814335317: Matrix Calculus and Kronecker Product: A Practical Approach to Linear and Multilinear Algebra
Couverture rigide
ISBN 10 : 9814335312 ISBN 13 : 9789814335317
Editeur : World Scientific Publishing Co Pte Ltd, 2011

Synopsis

This book provides a self-contained and accessible introduction to linear and multilinear algebra. Besides the standard techniques for linear and multilinear algebra many advanced topics are included. Emphasis is placed on the Kronecker product and tensor product. The Kronecker product has widespread applications in signal processing, discrete wavelets, statistical physics, computer graphics, fractals, quantum mechanics and quantum computing. All these fields are covered in detail. A key feature of the book is the many detailed worked-out examples. Computer algebra applications are also given. Each chapter includes useful exercises. The book is well suited for pure and applied mathematicians as well as theoretical physicists and engineers. New topics added to the second edition are: braid-like relations, Clebsch-Gordan expansion, nearest Kronecker product, Clifford and Pauli group, universal enveloping algebra, computer algebra and Kronecker product.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This book provides a self-contained and accessible introduction to linear and multilinear algebra. Besides the standard techniques for linear and multilinear algebra many advanced topics are included. Emphasis is placed on the Kronecker product and tensor product. The Kronecker product has widespread applications in signal processing, discrete wavelets, statistical physics, computer graphics, fractals, quantum mechanics and quantum computing. All these fields are covered in detail. A key feature of the book is the many detailed worked-out examples. Computer algebra applications are also given. Each chapter includes useful exercises. The book is well suited for pure and applied mathematicians as well as theoretical physicists and engineers. New topics added to the second edition are: braid-like relations, Clebsch-Gordan expansion, nearest Kronecker product, Clifford and Pauli group, universal enveloping algebra, computer algebra and Kronecker product.

Revue de presse

This book will be helpful, mainly for physicists (and also for engineers and applied mathematicians), as an introduction to matrix calculus, with special emphasis on Kronecker products of matrices, approaching the subject from a practical and computational point of view, with many illustrative numerical examples, and leading deliberately to applications, predominantly in physics. --Mathematical Reviews

This is an outstanding book explaining the Kronecker product and applications. Its exposition is both concise and leisurely at the same time. The authors explain every concept with beautifully chosen examples. Exercises can be found scattered throughout the book. The book is a good source for students, mathematicians, physicists, and engineers. --Zentralblatt MATH

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2011
Langue
anglais
ISBN 10 
9814335312
ISBN 13 
9789814335317
Reliure
Relié
Numéro d'édition
2
Nombre de pages
324
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Allemagne