MATRIX CALCULUS AND KRONECKER PRODUCT: A PRACTICAL APPROACH TO LINEAR AND MULTILINEAR ALGEBRA (2ND EDITION) - Hardcover

Steeb, Willi-Hans; Hardy, Yorick

Hardcover

ISBN 10: 9814335312 ISBN 13: 9789814335317

Publisher: World Scientific Publishing Company, 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.

About this title

Review

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 "Mathematical Reviews"

Edition details

• Publisher: World Scientific Publishing Company
• Publication date: 2011
• ISBN 10: 9814335312
• ISBN 13: 9789814335317
• Binding: Hardcover
• Language: English
• Edition number: 2
• Number of pages: 324