Download PDF Linear Algebra with Applications (3rd Edition), by Otto Bretscher
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Linear Algebra with Applications (3rd Edition), by Otto Bretscher
Download PDF Linear Algebra with Applications (3rd Edition), by Otto Bretscher
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KEY BENEFIT: This trusted reference offers an intellectually honest, thought-provoking, sound introduction to linear algebra. Enables readers to grasp the subject with a challenging, yet visually accessible approach that does not sacrifice mathematical integrity. Adds over 400 new exercises to the problem sets, ranging in difficulty from elementary to more challenging. Adds new historical problems taken from ancient Chinese, Indian, Arabic, and early European sources. Strengthens geometric and conceptual emphasis. A comprehensive, thorough reference for anyone who needs to brush up on their knowledge of linear algebra.
- Sales Rank: #1096326 in Books
- Published on: 2004-07-08
- Original language: English
- Number of items: 1
- Dimensions: 10.06" h x .95" w x 8.20" l,
- Binding: Hardcover
- 496 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
17 of 18 people found the following review helpful.
The WORST
By A Customer
This was perhaps the most poorly written textbook I've ever encountered. Theorems weren't defined completely or clearly. There were problems whose solution methods could in no way be extrapolated from the text alone; I had to use several other books. I recommend not buying this book unless it's required for a class. I'm sure there are many better references or self-teaching books out there.
24 of 28 people found the following review helpful.
Difficult and Too Concise
By A Customer
I've never had such a hard time in a math class. I realized quickly that linear algebra is completely different from the mechanical things I've been learning. This subject is very different and very abstract. I knew I really had to STUDY and not just read this book.
Considering all of this, when I picked this book up, I was apprenhensive from the start. Whenever I see a thin book assigned for a subject that's entirely unfamiliar to students, I know it's going to be a very concise book without many examples and detailed explanations.
The few people who have given this book rave reviews sound like instructors. If you are an instructor reading this review, please keep one thing in mind: textbooks are written for students, not you. What difference does it make if you think it's great but your students can't understand the most basic concepts, which was happening in my class? Yes, this book will make you think--think for hours on such basic concepts as what's the difference between a rotation and reflection. One more example of a linear transformation would've made all the difference in the world. The very first exercises will often leave most students saying, huh? Thinking is great but if you have to search the web and buy other books to get more information, that book is worthless.
I'm a computer science major and there are books I really think are well-written but I would never recommend them to someone who's never touched the subject. I believe if most of the students don't like it, there's something wrong with the book (many of my classmates complained about this book as well). If you are a math major or someone with a PhD, of course, a concise and clean explanation is great. But for students who've never had it, it's a nightmare. It's a situation I see too often: the textbooks that are assigned usually get the worst reviews yet they keep getting assigned again and again. This is especially true in science and math courses.
13 of 14 people found the following review helpful.
Professor hates book
By E. Kincaid
This is the first semester my college has used this book and it will most likely be its last. Everyday, my professor says how unhappy he is with this book because they present information in an odd sequence. For instance, we learned about subspaces before knowing what an actual space is. This makes the book very confusing and hard to follow. Just a warning: almost every example (not problem) in this book is done in symbols which is sometimes hard to follow. Overall, I would not buy this book
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