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With the most geometric presentation now available, this reference emphasizes linear transformations as a unifying theme, and enables users to “do” both computational and abstract math in each chapter. A second theme is introduced half way through the text—when eigenvectors are reached—on dynamical systems. It also includes a wider range of problem sets than found in any other book in this market. Chapter topics include systems of linear equations; linear transformations; subspaces of Rn and their dimension; linear spaces; orthogonality and least squares; determinants; eigenvalues and eigenvectors; symmetric matrices and quadratic forms; and linear differential equations. For anyone seeking an introduction to linear algebra.
- Sales Rank: #983383 in Books
- Published on: 2004-11-12
- Original language: English
- Number of items: 1
- Dimensions: 10.01" h x .48" w x 8.00" l,
- Binding: Paperback
- 240 pages
From the Publisher
This introduction to linear algebra focuses on dynamical systems -- continuous and discrete -- as a unifying theme, as motivation for eigenvectors, and in examples of major applications of linear algebra -- particularly systems of differential equations. Pedagogically strong ,it introduces abstract concepts gradually and gently -- without "spoon feeding" students. It uses visualization and geometrical interpretations extensively and features an abundance of both routine and thought-provoking problems and exercises involving abstract concepts and applications.
From the Back Cover
With the most geometric presentation now available, this reference emphasizes linear transformations as a unifying theme, and enables users to “do” both computational and abstract math in each chapter. A second theme is introduced half way through the text—when eigenvectors are reached—on dynamical systems. It also includes a wider range of problem sets than found in any other book in this market. Chapter topics include systems of linear equations; linear transformations; subspaces of Rn and their dimension; linear spaces; orthogonality and least squares; determinants; eigenvalues and eigenvectors; symmetric matrices and quadratic forms; and linear differential equations. For anyone seeking an introduction to linear algebra.
Most helpful customer reviews
0 of 0 people found the following review helpful.
Two Stars
By Amazon Customer
The cover was separated from the book.
7 of 11 people found the following review helpful.
A Contrarion Review
By D. E. Orr
Contrary to the other reviewers, I found the book to be outstanding! A possible reason for the different view is that I had studied linear algebra before. This books needs to be read and followed carefully and thoroughly- it is comprehensive and explains what is 'really going on' in the realm of linear algebra. Basic ideas, theorems and computational methods are presented with clear examples and pictures illustrating the geometry involved.
It is clearly not a 'cookbook' that one reads quickly to find the recipe for passing a course.
12 of 19 people found the following review helpful.
For me, the conciseness was a plus!
By Adam Pasztory
It looks like some of the reviewers here disagree with me, but I think this textbook is excellent. The explanations and examples are generally very clear, and there isn't a lot of distracting nonsense. In many textbooks they try too hard to teach through "Real World" examples. i find such examples confusing because they obscure the math behind the example.
I also felt this book had a nice mix of easy, medium and challenging problems. And it feels like the author really understands and strives to clarify many of the hurdles faced by Linear Algebra students.
Make no mistake about it, Linear Algebra is a tough class that requires a lot of dilligence and abstract thinking. This book isn't going to guarantee you an A. But if you work through it, and if you have a helpful teacher, you'll be on the right track.
By the way, I am a Computer Science major, and while I consider myself decent at math, I'm by no means a math genius. :)
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