Book Title: Linear Transformations on Vector Spaces

Subtitle: An Introduction to Linear Algebra

Authors: Scott Kaschner and Amber Russell

Cover image for Linear Transformations on Vector Spaces

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

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License:
Creative Commons Attribution

Contents

Book Information

Authors

Scott Kaschner and Amber Russell

License

Icon for the Creative Commons Attribution 4.0 International License

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.

Subject

Algebra

Metadata

Title
Linear Transformations on Vector Spaces
Authors
Scott Kaschner and Amber Russell
Reviewers
Jeremy Case and Cody Patterson
Contributors
Cale Erwin (Project Manager) and Jonathan Poritz (Copyeditor)
License

Icon for the Creative Commons Attribution 4.0 International License

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.

Primary Subject
Algebra
Additional Subject(s)
Mathematics
Institution
Butler University
Publisher
PALNI Press
Publication Date
September 1, 2023
Digital Object Identifier (DOI)
https://doi.org/10.59319/TQVQ9889
Ebook ISBN
978-1-956390-19-3
Print ISBN
978-1-956390-20-9