Matrix Theory and Applications for Scientists and Engineers

Matrix Theory and Applications for Scientists and Engineers
By Alexander Graham
Dover Publications | July 2018 | ISBN-10: 0486824195 | ePUB | 36.7 mb
https://www.amazon.com/Matrix-Applications-Scientists-Engineers-Mathematics/dp/0486824195

A comprehensive text on matrix theory and its applications, this book is intended for a broad range of students in mathematics, engineering, and other areas of science at the university level. Author Alexander Graham avoids a simple catalogue of techniques by exploring the concepts' underlying principles as well as their numerous applications. Many problems elucidate the text, which includes a substantial answer section at the end.
The treatment explores matrices, vector spaces, linear transformations, and the rank and determinant of a matrix. Additional topics include linear equations, eigenvectors and eigenvalues, canonical forms and matrix functions, and inverting a matrix. A Solution to Problems Section, References and a Bibliography conclude the treatment.
This Dover edition is an unabridged and corrected republication of of the book originally published in 1979 by Ellis Horwood, Ltd, Chichester, West Sussex.

About the Author
Dr. Alexander Graham, now retired, was Senior Lecturer on the Faculty of Mathematics at The Open University, Milton Keynes, UK. Dover also publishes his Kronecker Products and Matrix Calculus With Applications.

CONTENTS
Preface
Chapter 1 – Matrices
Chapter 2 – Vector Spaces
Chapter 3 – Linear Transformations
Chapter 4 – The Rank and the Determinant of a Matrix
Chapter 5 – Linear Equations
Chapter 6 – Eigenvectors and Eigenvalues
Chapter 7 – Canonical Forms and Matrix Functions
Chapter 8 – Inverting a Matrix
Solutions to Problems