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.
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Editorial Reviews
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, 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, 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, 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, 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, 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.
'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, 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, 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, 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, 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.
Book Description
The fresh approach of this book introduces a variety of problems with clarity and informality. The focus on applications demonstrates how linear algebra can be applied to real-life situations. Numerous examples, exercises and historical notes are provided, along with a CD-ROM containing a searchable copy of the textbook and solutions.
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Most Helpful Customer Reviews
50 of 52 people found the following review helpful:
5.0 out of 5 stars
a must buy...,
By
This review is from: Matrix Analysis and Applied Linear Algebra Book and Solutions Manual (Textbook Binding)
Although titled as Matrix Analysis and Applied Linear Algebra, this book is one of the clearest treatments of pure linear algebra in general. Most of the theorems are proved and the proofs are very well motivated. There are no hand-waving arguments yet it is very easy to follow all the material contained. I also noticed that this book provides a smooth transition to introductory functional analysis for those who already possess the adequate real analysis background.
There is an immense collection of well chosen examples throughout the book, and all the solutions are included in the solution manual which comes as a seperate volume. The whole package(printed version of the book + CD-ROM + solution manual) is bundled, so once you order it, you will have all of them at once). The organization of the book is also excellent and it manages to maintain a perfect coherence between sections while each chapter can be read alone as well. This is a rare trait indeed. However, this is not a numerical linear algebra book like Demmel`s and Trefethen`s texts, which mostly dwell on algorithmic implementation side, although it is the perfect complement to those two works. Whole text(in color), including the solution manual, is available online for people who want to take a quick look at it. The CD-ROM, which comes with the hard copy of the text also contains the electronic version of the book for readers convenience. Obviously there is no panacea for learning or teaching matrix analysis while resorting to a single text, but this book comes closest to accomplishing this with a rather nice package.
34 of 37 people found the following review helpful:
5.0 out of 5 stars
Great book on matrix analysis,
By "giref" (quebec, Quebec Canada) - See all my reviews
This review is from: Matrix Analysis and Applied Linear Algebra Book and Solutions Manual (Textbook Binding)
This book is very interesting to read, it is very clear, well explained and presented. The subjects covered in this book are mostly for undergraduate to begining graduate and can serve as a bridge to numerical linear algebra. The author makes a great emphasis on explanation and he does a great job. For those who have ever read a book by SIAM know the style of writing and presentation. The book is applied as it mean it is not theoritical.The book contains a lot of exercise of different difficulty and it is accompanied with a solution manual to all of the exercises and a CD-ROM with a lot of stuff in it that make the book more interesting. The author maintain a web site where you can find many more information concernig the book. I recommend this book to anyone who want to introduce himself into linear algebra and matrix analysis.
20 of 21 people found the following review helpful:
5.0 out of 5 stars
Good book for grad cs student,
This review is from: Matrix Analysis and Applied Linear Algebra Book and Solutions Manual (Textbook Binding)
This is a good book for bridging between an introductory, single semester course on linear algebra and graduate matrix analysis.
Although it isn't in the traditional lemma-theorem-proof format of more traditional maths books, I found the explanations and proofs very clear. There is an electronic version of the book that you can read online but not save or print.
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Inside This Book
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First Sentence:
A fundamental problem that surfaces in all mathematical sciences is that of analyzing and solving m algebraic equations in n unknowns. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
spectral circle, nondiagonalizable matrices, reverse order law, associated augmented matrix, fundamental subspaces, scaled partial pivoting, interchange matrices, orthogonal decomposition theorem, basic columns, nonnegative irreducible matrix, elementary reflectors, minimal spanning set, orthogonal reduction, use exact arithmetic, saine shape, spectral projector, nonbasic column, row echelon form, irreducible stochastic matrix, associated homogeneous system, annihilating polynomial, minimum polynomial, oblique projector, ergodic class, nonsingular system Key Phrases - Capitalized Phrases (CAPs): (learn more)
Gauss Jordan, Grain Schmidt, Gauss Seidel, Gram Schmidt, Cayley Hamilton, Perron Frobenius, Arthur Cayley, Courant Fischer, Seki Kowa, University of Berlin, Harvard University, Issai Schur, United States, Use the Sherman Morrison New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
A fundamental problem that surfaces in all mathematical sciences is that of analyzing and solving m algebraic equations in n unknowns. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
spectral circle, nondiagonalizable matrices, reverse order law, associated augmented matrix, fundamental subspaces, scaled partial pivoting, interchange matrices, orthogonal decomposition theorem, basic columns, nonnegative irreducible matrix, elementary reflectors, minimal spanning set, orthogonal reduction, use exact arithmetic, saine shape, spectral projector, nonbasic column, row echelon form, irreducible stochastic matrix, associated homogeneous system, annihilating polynomial, minimum polynomial, oblique projector, ergodic class, nonsingular system Key Phrases - Capitalized Phrases (CAPs): (learn more)
Gauss Jordan, Grain Schmidt, Gauss Seidel, Gram Schmidt, Cayley Hamilton, Perron Frobenius, Arthur Cayley, Courant Fischer, Seki Kowa, University of Berlin, Harvard University, Issai Schur, United States, Use the Sherman Morrison New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 5
books:
35
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- Eugene Onegin: A Novel in Verse, Vol. 2 by Aleksandr Sergeevich Pushkin on page 687
- Eugene Onegin (Penguin Classics) by Alexander Pushkin on page 687
- Eugene Onegin (Wordsworth Classics of World Literature) by A.S. Pushkin on page 687
- Fault Diagnosis: Models, Artificial Intelligence, Applications by Józef Korbicz on page 216, and page 258
- The Schur Complement and Its Applications (Numerical Methods and Algorithms) by Fuzhen Zhang on page 167, and Back Matter
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- Data Analysis and Decision Support (Studies in Classification, Data Analysis, and Knowledge Organization) by Daniel Baier on page 230
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