An accessible, applications-oriented presentation of the theory of linearalgebra. This is the top selling theorem-proof text in the market. *NEW - The text has been extensively rewritten with many additional examples and exercises and for increased clarity. *NEW - Additional material on the reduced echelon form of a matrix is included in Section 3.4. *A significant number of interesting and accessible exercises. *Real-world applications are provided throughout the book that reveal the power of the subject by demonstrating its practical uses.
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An accessible, applications-oriented presentation of the theory of linear algebra. This is the top selling theorem-proof text in the market.
From the Back Cover
This book is an accessible, applications-oriented presentation of the principles of linear algebra. A significant number of interesting and accessible exercises are included. Real-world applications are provided throughout the book that reveal the power of the subject by demonstrating its practical uses. Additional material on the reduced echelon form of a matrix is included in Section 3.4.
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Most Helpful Customer Reviews
46 of 49 people found the following review helpful:
5.0 out of 5 stars
A terrific book on linear algebra,
By "karnas84" (Wexford, PA United States) - See all my reviews
This review is from: Linear Algebra (3rd Edition) (Hardcover)
LINEAR ALGEBRA, Third Edition, is one of the better books on linear algebra. The material is presented in an abstract and mathematically rigorous fashion. The focus of the book is on the ideas and proofs behind the linear algebra -- its treatment of applications to physics and computer science is almost nonexistent. Topics covered include vector spaces, linear transformations, systems of linear equations, determinants, inner product spaces, eigenvalues and eigenvectors, and canonical forms.For the aspiring engineering or computer science student, this book is not for you. Basic matrix theory is enough for those fields, and this book is littered with rigorous proofs. There are many other textbooks that present linear algebra from more of an engineering or computer science perspective. As an alternative I recommend that you take a look at "Matrix Analysis and Applied Linear Algebra" by C.D. Meyer. The style of this book is written in the traditional theorem-proof-example style and is thus geared more towards aspiring mathematicians, especially those who enjoy theory and pure mathematics. Many of the examples demonstrate less than obvious inferences and can be very useful, but of course the meat of the book lies in the comprehensive build-up of linear algebra theory from a mathematically sophisticated point of view. In summary, a highly recommended purchase for mathematicians. Computer scientists and engineers should look elsewhere though.
28 of 30 people found the following review helpful:
5.0 out of 5 stars
awesome...i'd give 10 stars,
By Ted Shane (usa) - See all my reviews
This review is from: Linear Algebra (3rd Edition) (Hardcover)
This book combines a very rigorous treatment (with a flavoring of abstract algebra) and interesting applications. The presentation is very clear and straightforward. You get theorems, a proof of each one, and curious exercises. Some exercises also challenge you to develop and prove results about some side topics. As you go through the chapters and learn more, you prove further results. Also, this book is the first which presented Jordan forms lucidly and thoroughly. Other texts shove it into the appendix, which is a mistake, since this topic is important.Finally, the applications are plenty. Standard ones like Markov chains, plus a few fascinating applications, like an entire section devoted to the development of the basics of Special Relativity. This should be the standard text on linear algebra, instead of that drivel by Strang.
15 of 16 people found the following review helpful:
5.0 out of 5 stars
Beautiful presentation !,
This review is from: Linear Algebra (3rd Edition) (Hardcover)
This book has a lucid treatment of the matrix theory and linear trnasformations of differential equations. although the applications are extended upto Hamiltonians, Markov chains and relativity to name a few. All in all an excellent book which prepares the reader for more specific topics according to reader's taste. Worth reading is the 6th chapter for advanced students intending to major in physics or maths. Definitely worth having one in your shelf. Clear presentation and ample examples will encourage your appetite for matrix theory etc.
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