Fundamentals of Matrix Computations
Fundamentals of Matrix Computations, one of the best books on matrices, is a comprehensive guide to the mathematical theory and practical applications of matrix computations. Authored by David S. Watkins, a renowned expert in numerical analysis and matrix computations, this book provides a clear and concise introduction to the subject matter. The book covers a wide range of topics, from basic matrix algebra and linear equations to advanced topics such as eigenvalues and singular value decomposition.
David S. Watkins is a Professor Emeritus of Mathematics at Washington State University, where he taught for over three decades. He received his Ph.D. in Mathematics from the University of California, Los Angeles, and has published numerous papers and articles in the field of matrix computations. In addition to his academic pursuits, Watkins has also consulted for a variety of companies and organizations, including Boeing, NASA, and the U.S. Navy.
The book begins with an introduction to matrix algebra and the solution of linear equations using Gaussian elimination. From there, the author progresses to more advanced topics such as eigenvalues and eigenvectors, diagonalization, and singular value decomposition. The book also covers iterative methods for solving linear equations and eigenvalue problems, as well as the numerical solution of differential equations using matrices.
One of the strengths of Fundamentals of Matrix Computations is its emphasis on practical applications. Throughout the book, the author provides real-world examples and exercises that help the reader understand the relevance of the theory to their own work. The book also includes MATLAB code for many of the algorithms and numerical methods discussed, making it a valuable resource for anyone working in the field of numerical analysis or scientific computing.
Overall, Fundamentals of Matrix Computations is an essential reference for anyone interested in the theory and practice of matrix computations. With its clear explanations, practical examples, and emphasis on real-world applications, it is an excellent resource for students, researchers, and practitioners alike.
Author: David S. Watkins
Link to buy: https://www.amazon.com/Fundamentals-Matrix-Computations-David-Watkins/dp/0470528338/
Ratings: 4.4 out of 5 stars (from 22 reviews)
Best Sellers Rank: #396,603 in Books
#26 in Mathematical Matrices
#74 in Linear Algebra (Books)
#188 in Algebra & Trigonometry
