Linear Algebra: A Modern IntroductionDavid 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 twosemester 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. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version. 
What people are saying  Write a review
User ratings
5 stars 
 
4 stars 
 
3 stars 
 
2 stars 
 
1 star 

User Review  Flag as inappropriate
I loved this book! It was beautifully written. He gave interesting proofs and the logic behind the proofs  as a nonmath 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!
User Review  Flag as inappropriate
All 5 reviews »it's ok
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 
Other editions  View all
Common terms and phrases
2010 Cengage Learning approximation augmented matrix calculations code vector coefficients col(A complex numbers compute coordinate vector copied Copyright 2010 Cengage corresponding d c d c d c defined definition denoted determine diagonal diagonalizable Due to electronic duplicated eBook and/or eChapter(s eigenvalues eigenvectors electronic rights elementary row operations entries equivalent error Example Exercises factorization formula geometric given GramSchmidt Process graph Hence Inequality inner product integer Invertible Matrices iterates least squares linear algebra linear combination linear equations linear system linear transformation linearly independent mathematical n n matrix nonzero norm orthogonal matrix orthonormal plane Problem Proof properties real numbers Rights Reserved row echelon form scalar multiplication scanned Section set of vectors singular values solution solve span square matrix subspace suppressed symmetric system of linear third party content tion unit vector variables vector space whole