Linear Algebra: A Modern Introduction
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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What people are saying - Write a review
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!
Systems of Linear Equations
Eigenvalues and Eigenvectors
Distance and Approximation
Mathematical Notation and Methods of Proof