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About this book :-
Problems and Solutions in Introductory and Advanced Matrix Calculus written by Yorick Hardy, Willi-Hans Steeb .
The purpose of this book is to supply a collection of problems in introductory and advanced matrix problems together with their detailed solutions which will prove to be valuable to undergraduate and graduate students as well as to research workers in these fields. Each chapter contains an introduction with the essential definitions and explanations to tackle the problems in the chapter. If necessary, other concepts are explained directly with the present problems. Thus the material in the book is self-contained. The topics range in difficulty from elementary to advanced. Students can learn important principles and strategies required for problem solving. Lecturers will also find this text useful either as a supplement or text, since important concepts and techniques are developed in the problems.
A large number of problems are related to applications. Applications include wavelets, linear integral equations, Kirchhoff’s laws, global positioning systems, Floquet theory, octonians, random walks, entanglement, tensor decomposition, hyperdeterminant, matrix-valued differential forms, Kronecker product and images. A number of problems useful in quantum physics and graph theory are also provided. Advanced topics include groups and matrices, Lie groups and matrices and Lie algebras and matrices. Exercises for matrix-valued differential forms are also included.
(Yorick Hardy, Willi-Hans Steeb)
Book Detail :-
Title: Problems and Solutions in Introductory and Advanced Matrix Calculus
Author(s): Yorick Hardy, Willi-Hans Steeb
Publisher: World Scientific Publishing Company
Country: South Africa
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About Author :-
Author Willi-Hans Steeb , Professor of Applied Mathematics, University of Johannesburg, Johannesburg, Gauteng, South Africa.
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Book Contents :-
Problems and Solutions in Introductory and Advanced Matrix Calculus written by Yorick Hardy, Willi-Hans Steeb cover the following topics.
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 Products
11. Groups and Matrices
12. Lie Algebras and Matrices
13. Graphs and Matrices
14. Hadamard Product
17. Numerical Methods
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