Linear Transformations on Vector Spaces

• Main Authors: Kaschner, Scott (Author), Russell, Amber (Author)
• Format: Electronic eBook
• Language: English
• Published: [Place of publication not identified] PALNI 2023.
• Series: Open textbook library.
• Subjects: Algebra > Textbooks; Mathematics > Textbooks
• Online Access: Access online version

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.