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Presents examples of important techniques and theorems for Groups, Lie groups and Lie algebras. This book helps the reader to gain understandings and insights through practice. It provides applications of these topics in physics and engineering.

A collection of problems with detailed solutions in introductory and advanced matrix calculus, this self-contained book is suitable for both graduate and undergraduate mathematics students. It covers systems of linear equations, linear differential equations, functions of matrices and the Kronecker product.

Covers such concepts and topics such as quantum gates and quantum circuits, product Hilbert spaces, entanglement and entanglement measures, deportation, Bell states, Bell inequality, Schmidt decomposition, quantum Fourier transform, magic gate, von Neumann entropy, quantum cryptography, quantum error corrections, coherent states, and more.