Written for students within a linear algebra class, this text covers a number of applications of linear algebra. It features a unique treatment of vector spaces, proofs and computations, an emphasis on geometry and a selection of computer exercises.
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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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