### About the book

The book contains recent research devoted to the application of the matrix theory in the different areas of science and engineering. It can be treated as a continuation of the theoretical results obtained in pure mathematics to the specific applications in applied science. The book will start with topics related to the classical investigation in the matrix theory, describe the recent results in such classical areas as differential and integral calculus, specify the evaluation of the matrix components and describe the application of the matrix and linear algebra methods to computers, engineering, communication, chemistry, and technology. The use of advanced software environments, namely MATLAB and MAPLE will be discussed in this book. This book will also discuss the perspective directions of the matrix theory and applications related to matrix groups, matrices over rings and superrings, matrix fields, application to graph theory, application of matrices in quantum mechanics, field theory and statistical physics, dynamical approach to random matrix theory and spectral theory of random matrices.

It is our hope that the book will be a good manual for the scientists in the area of pure mathematics, computer science, and practical engineering as well post-graduate students.