Book Title: Linear Transformations on Vector Spaces
Subtitle: An Introduction to Linear Algebra
Book Description: Linear Transformations on Vector Spaces serves primarily as a textbook for undergraduate Linear Algebra courses. While standard Linear Algebra books begin by focusing on solving systems of linear equations and associated procedural skills, our book begins by developing a conceptual framework for the topic using the central objects, vector spaces and linear transformations. It covers the same concepts, skills, and, applications as conventional texts in a one-semester course, but students walk away with a much richer and more useful mastery of the topics. The book is structured to facilitate the implementation of the flipped classroom. The text features a continuous narrative to illuminate the big picture of the material and is written to help students develop their textbook reading skills. Also, there are “Explorations” scattered throughout each section; these are quick first examples intended for students to complete while reading before class meetings. Additional materials include section overview homework assignments and worksheets that can be used for in-class practice.
Download this book (Digital PDF, 18MB).
The textbook and its source code are archived in the PALSave Course Materials Repository: https://doi.org/10.59319/TQVQ9889
Linear Transformations on Vector Spaces by Scott Kaschner and Amber Russell is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.