Linear Algebra: A Modern Introduction

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Cengage Learning, May 25, 2010 - Mathematics - 768 pages
6 Reviews
David Poole’s innovative book emphasizes vectors and geometric intuition from the start and better prepares students to make the transition from the computational aspects of the course to the theoretical. Designed for a one- or two-semester introductory course and written in simple, mathematical English Poole focuses his approach on benefiting student visualization and connection to the material. He offers concrete examples to engage the student before presenting abstraction, and immediately follows up theoretical discussion with further examples and an array of applications from a variety of disciplines. Students from a variety of backgrounds and learning styles benefit from Poole’s practical approach, which covers vectors and vector geometry early in order to enable students to visualize the mathematics while they are doing matrix operations. With a concrete understanding of vector geometry, students are able to visualize and understand the meaning of the calculations that they will encounter and develop mathematical maturity for thinking abstractly.
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I loved this book! It was beautifully written. He gave interesting proofs and the logic behind the proofs - as a non-math major I learned a lot about math in general. There were also all kinds of cool examples and applications. I found it perfect for independent study, as there were lots of practice problems with answers in the back. I only found a couple errors in the whole book. It was a little weak on complex numbers but overall, a great read! 

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it's ok

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Contents

Vectors
1
Systems of Linear Equations
63
Matrices
142
Eigenvalues and Eigenvectors
264
Orthogonality
377
Vector Spaces
445
Distance and Approximation
552
Mathematical Notation and Methods of Proof
648
Mathematical Induction
657
Complex Numbers
664
Polynomials
675
Answers to Selected OddNumbered Exercises
685
Index
720
Index of Notation
743
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About the author (2010)

David Poole is Professor of Mathematics at Trent University, where he has been a faculty member since 1984. Dr. Poole has won numerous teaching awards: Trent University's Symons Award for Excellence in Teaching (the university's top teaching award), three merit awards for teaching excellence, a 2002 Ontario Confederation of University Faculty Associations Teaching Award (the top university teaching award in the province), a 2003 3M Teaching Fellowship (the top university teaching award in Canada, sponsored by 3M Canada Ltd.), a 2007 Leadership in Faculty Teaching Award from the province of Ontario, and the Canadian Mathematical Society's 2009 Excellence in Teaching Award. From 2002-2007, Dr. Poole was Trent University's Associate Dean (Teaching & Learning). His research interests include discrete mathematics, ring theory, and mathematics education. He received his B.Sc. from Acadia University in 1976 before earning his M.Sc. (1977) and Ph.D. (1984) from McMaster University. When he is not doing mathematics, David Poole enjoys hiking and cooking, and he is an avid film buff.

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