A Unified Introduction to Linear Algebra Models, Methods, and Theory Free Download

This book develops linear algebra around matrices. It puts problem solving and an intuitive treatment of theory first, with a proof-oriented approach intended to come in a second course, in the same way that calculus is taught. The material is unified by the repeated use of a few linear models to illustrate each new concept and technique. These models help students visualize new ideas as they re taught and remember them after the course is complete. Although the book is often informal, it also covers several topics normally left to a more advanced course such as matrix norms, matrix decompositions, and approximation by orthogonal polynomials. This book presents a healthy interplay between mathematics and computer science, that is between continuous and discrete models of thinking.