Item description for Problems and Solutions in Introductory and Advanced Matrix Calculus by Willi-Hans Steeb...
As an extensive collection of problems with detailed solutions in introductory and advanced matrix calculus, this self-contained book is ideal for both graduate and undergraduate mathematics students. The coverage includes systems of linear equations, linear differential equations, functions of matrices and the Kronecker product. Many of the problems are related to applications in areas such as group theory, Lie algebra theory and graph theory. Thus, physics and engineering students will also benefit from the book. Exercises for matrix-valued differential forms are also included.
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Studio: World Scientific Publishing Company
Est. Packaging Dimensions: Length: 0.5" Width: 6" Height: 8.75" Weight: 0.85 lbs.
Release Date Aug 24, 2006
Publisher World Scientific Publishing Company
ISBN 9812702024 ISBN13 9789812702029
Reviews - What do customers think about Problems and Solutions in Introductory and Advanced Matrix Calculus?
Useful workbook for advanced students of calculus and linear algebra Mar 9, 2009
This book is unique in its niche, as far as I know: While there are plenty of problem books for students taking first-year calculus, this book should provide a challenge to students at a graduate level. To give you a clearer idea of its contents, here is the chapter listing:
1. Basic Operations 2. Linear Equations 3. Determinants and Traces 4. Eigenvalues and Eigenvectors 5. Commutators and Anticommutators 6. Decomposition of Matrices 7. Functions of Matrices 8. Linear Differential Equations 9. Kronecker Product 10. Norms and Scalar Product 11. Groups and Matrices 12. Lie Algebra and Matrices 13. Graphs and Matrices
I would give this rich collection of problem 5-stars, but for my money I would have appreciated more detailed solutions. Also, the problems often use (standard) terms that the book has not defined, which can make it difficult to understand the problem being defined. A separate reference on each of the topics should be considered prerequisite.