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"Linear Algebra (third edition) is an excellent undergraduate–level textbook for courses in linear algebra. It is also valuable self–study guide for professionals and researches who would like a basic introduction to linear algebra with applications in science, engineering, and computer science." ( Mathematical Review, Issue 2009e)
"This volume is ground–breaking in terms of mathematical texts in that it does not teach from a detached perspective, but instead, looks to show students that competent mathematicians bring an intuitive understanding to the subject rather than just a master of applications." (Electric Review, November 2008)
"This book should make a good text for introductory courses." (Computing Reviews, September 30, 2008)
"This volume is ground–breaking in terms of mathematical texts in that it does not teach from a detached perspective, but instead, looks to show students that competent mathematicians bring an intuitive understanding to the subject rather than just a master of applications." (Electric Review, Nov 2008)
"This book should make a good text for introductory courses." (Computing Reviews, September 30, 2008)
In the author′s words: "I wrote this book because I have a deep conviction that mathematics is about ideas, not just formulas and algorithms, and not just theorems and proofs. The text covers the material usually found in a one–semester linear algebra class. It is written. however, from the point of view that knowing why is just as important as knowing how. To ensure that the readers see not only why a given fact is true, but also why it is important, I have included a number of the beautiful applications of linear algebra. Most of my students seem to like this emphasis. For many, mathematics has always been a body of facts to be blindly accepted and used. The notion that they personally can decide mathematical truth or falsehood comes as a revelation. Promoting this level of understanding is the goal of this text." –Richard Penney, from the Preface
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