Click Here to Download: https://ouo.io/JeovQt Problems and Solutions in Introductory and Advanced Matrix Calculus By: Willi-Hans Steeb; Yorick Hardy Publisher: WSPC Print ISBN: 9789813143784, 9813143789 eText ISBN: 9789813143814, 9813143819 Format: EPUB Available from $ 54.00 USD SKU 9789813143814 This book provides an extensive collection of problems with detailed solutions in introductory and advanced matrix calculus. Supplementary problems in each chapter will challenge and excite the reader, ideal for both graduate and undergraduate mathematics and theoretical physics students. The coverage includes systems of linear equations, linear differential equations, integration and matrices, Kronecker product and vec-operation as well as functions of matrices. Furthermore, specialized topics such as spectral theorem, nonnormal matrices and mutually unbiased bases are included. Many of the problems are related to applications for group theory, Lie algebra theory, wavelets, graph theory and matrix-valued differential forms, benefitting physics and engineering students and researchers alike. It also branches out to problems with tensors and the hyperdeterminant. Computer algebra programs in Maxima and SymbolicC have also been provided. Contents: Preface Notation Basic Operations Linear Equations Kronecker Product Traces, Determinants and Hyperdeterminants Eigenvalues and Eigenvectors Spectral Theorem Commutators and Anticommutators Decomposition of Matrices Functions of Matrices Cayley–Hamilton Theorem Hadamard Product Norms and Scalar Products Undergraduate and graduate students and researchers in mathematics, physics and engineering.
