About the Book
"Matrix Algebra and Applied Linear Algebra" is an honest maths text that circumvents the traditional definition-theoreom-proof format that has bored students in the past. Meyer uses a fresh approach to introduce a variety of problems and examples, ranging from the elementary and challenging to simple applications to discovery problems. Modern concepts and notation are used to introduce the various aspects of linear equations, leading readers easily to numerical computations and applications. The theoretical developments are always accompanied with examples, which are worked out in detail. Each section ends with a large number of carefully chosen exercises from which the students can gain further insight. The textbook contains more than 240 examples, 650 exercises, historical notes and comments on numerical performance and some of the possible pitfalls of algorithms. It comes with a solutions manual that includes complete solutions to all of the exercises.
As an added bonus, a fully searchable CD-ROM is included that contains the entire textbook, all solutions, more detailed information on topics mentioned in examples, references for additional study, thumbnail sketches and photographs of mathematicians, and a history of linear algebra and computing. It can be used on all platforms.
Table of Contents:
- Preface
- Chapter 1: Linear Equations.
- Chapter 2: Rectangular Systems and Echelon Forms.
- Chapter 3: Matrix Algebra.
- Chapter 4: Vector Spaces.
- Chapter 5: Norms, Inner Products, and Orthogonality.
- Chapter 6: Determinants.
- Chapter 7: Eigenvalues and Eigenvectors.
- Chapter 8: Perron-Frobenius Theory of Nonnegative Matrices.
- Index.
Review :
'I have taught courses using Meyer's text for two semesters now and I like the book even better than when I first read it. The text is just what I want for an advanced level course in Linear Algebra for applied mathematicians and engineers. I plan to use it again.' William C. Brown, Director of Graduate Studies, Department of Mathematics, Michigan State University 'Meyer extensively treats traditional topics in matrix analysis and linear algebra. The text is well written, with the exact statements of important definitions and theorems set off in gray boxes, surrounded by proofs, motivational discussions, many examples and historical notes, and 749 exercises. Meyer intentionally leaves the 'scaffolding' in place to help the reader understand the development of the subject ... Included are a separate solutions manual and a CD-ROM containing the entire text and solution manual in a searchable, hyperlinked (cross-referenced) pdf format. This CD-ROM, one of the few with this feature, makes the package of even greater reference value.' J. D. Fehribach, CHOICE '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, Department of Mathematics and Computer Science, Emory University 'I like how well thought out and organized this book is. I would recommend that anyone who teaches a course in linear algebra consider this text. Those who choose not to adopt this text would still find it a handy reference a good reminder of some of the practical issues of linear algebra that working scientists must consider. In my opinion, the stronger the students in the course, and the longer they are exposed to the text (it would be best in a two semester sequence) the better they will appreciate this book and its spiral development of ideas.' Joel Foisy, MAA Online 'I liked Meyer's book a lot. There are so many little tidbits in it that every student should know.' William C. Brown, Michigan State University "I'm impressed with the content and especially the CD. This is the first text I've seen that uses a CD like this. The cross-referencing (hyperlinking) is quite useful." Ronald F. Taylor, Wright State University. "I recently returned to school for my graduate studies after a long absence. I have several linear algebra texts/references, but Matrix Analysis and Applied Linear Algebra from SIAM will surely be the one I use the most. It is easy to read, with excellent examples and strong applications. I really need a strong review! " Eileen Daly, graduate student, Department of Applied Mathematics, University of Colorado at Boulder. "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. "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. "...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. "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.
