Matrix Analysis and Applied Linear Algebra by Carl D. Meyer

From the Publisher

This book avoids the traditional definition-theorem-proof format; instead a fresh approach introduces a variety of problems and examples all in a clear and informal style. The in-depth focus on applications separates this book from others, and helps students to see how linear algebra can be applied to real-life situations. Some of the more contemporary topics of applied linear algebra are included here which are not normally found in undergraduate textbooks. Theoretical developments are always accompanied with detailed examples, and each section ends with a number of exercises from which students can gain further insight. Moreover, the inclusion of historical information provides personal insights into the mathematicians who developed this subject. The textbook contains numerous examples and exercises, historical notes, and comments on numerical performance and the possible pitfalls of algorithms. Solutions to all of the exercises are provided, as well as a CD-ROM containing a searchable copy of the textbook.

Booknews

In this text, Meyer (mathematics, North Carolina State U.) circumvents the traditional definition-theorem-proof format by focusing on applications. He includes some of the more contemporary topics of applied linear algebra, uses modern concepts and notation, and accompanies theoretical developments with examples. The eight chapters cover linear equations, rectangular systems and echelon forms, matrix algebra, vector spaces, determinants, Eigenvalues and Eigenvectors, Perron-Frobenius theory, and norms, inner products, and orthogonality. The included CD-ROM contains a searchable copy of the entire textbook and all solutions, as well as detailed information on topics mentioned in examples, references, thumbnail sketches and photographs of mathematicians, and a history of linear algebra and computing. Annotation c. Book News, Inc., Portland, OR (booknews.com)

What People Are Saying

IIse Ipsen
The book covers an impressive range of material. It contains a number of topics not found in similar books. Professor Meyer takes great care in explaining abstract concepts. (Ilse Ipsen, Professor, North Carolina State University)

Gregory Nusz
In studying for the final exam, I was able to solidify much of what we'd gone over during the semester by reading over the text and doing the problems. However, this time through, I gained a lot more respect for the textbook. I didn't notice at the time, but the way the earlier problems foreshadowed techniques yet to come really helped me get everything to click into place. I am sincerely impressed with how much I learned. (Gregory Nusz, Caldwell Scholar, North Carolina State University)

I will say that I really enjoy the prose. It is a rare combination when the enthusiasm shines through, focused by erudition. (Cleve Ashcraft, Livermore Software Technology Corporation)

Walter Gander
I like the book: the theory is sound, numerical performance and possible pitfalls of the algorithms are well discussed, and it contains interesting historical remarks.(Walter Gander, Chairman, Computer Science Department, ETH Zurich)

This book combines the best of what you look for in a reference and a textbook. It is comprehensive and detailed but with so many great problems and examples that it is guaranteed to excite the undergraduate reader. I enjoyed the book throughout, but found the treatment of the FFT to be particularly original and effective.(Charles Van Loan, Professor and Chair, Department of Computer Science, Cornell University)

MIchele Benzi
Carl Meyer's book is an outstanding addition to the vast literature in this area. Its most distinctive feature is a seamless integration of the theoretical, computational, and applied aspects of the subject, which stems from the author's extensive experience in both teaching and research. The author's clear and elegant expository style is enlivened by a generous sprinkling of historical notes and aptly chosen quotations from famous mathematicians, making this book a delight to read. If this textbook will not succeed in awakening your students' interest in matrices and their uses, nothing else will. (Michele Benzi, Los Alamos National Laboratory.)

Product Details

• Table of Contents

Table of Contents