
Linear Algebra by Example
An Active Approach
Erik Wallace(Author)
CRC Press
Will be published approx. on 10. August 2026
374 pages
978-1-040-85014-5 (ISBN)
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for ePUB without DRM
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Description
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This book offers a modular, concept-driven introduction to linear algebra designed for undergraduate students across mathematics, engineering, computer science, and the sciences. Emphasizing core ideas such as symmetry, transformation, and structure, it supports flexible pacing and multiple instructional pathways while remaining accessible to students with diverse mathematical backgrounds.
What sets this text apart is its intentional structure and student-centered design. Each chapter begins with a visual flowchart that makes dependencies explicit, allowing instructors to customize coverage. Proofs are introduced gradually through examples and activities rather than formal presentation, helping students develop mathematical reasoning with confidence.
Key features include:
* Modular chapter design with dependency flowcharts
* Scaffolded examples and classroom-tested activities
* Integrated SageMath and Python exploration
* Built-in AI prompts for responsible, productive use
* Applications ranging from classic topics to ray tracing, molecular symmetry, and structural engineering
This book is intended for first undergraduate courses in linear algebra, including service courses and active-learning classrooms, and is suitable for both instruction and self-study.
Erik Wallace is an Assistant Professor of Instruction in Mathematics at Temple University. He earned a BA in Mathematics from Hartwick College and a PhD in Mathematics from Indiana University, specializing in number theory. He has extensive experience teaching linear algebra and related courses to non-majors and focuses on active learning, accessibility, and meaningful applications, integrating computation, SageMath, Python, and AI-assisted tools into his teaching.
What sets this text apart is its intentional structure and student-centered design. Each chapter begins with a visual flowchart that makes dependencies explicit, allowing instructors to customize coverage. Proofs are introduced gradually through examples and activities rather than formal presentation, helping students develop mathematical reasoning with confidence.
Key features include:
* Modular chapter design with dependency flowcharts
* Scaffolded examples and classroom-tested activities
* Integrated SageMath and Python exploration
* Built-in AI prompts for responsible, productive use
* Applications ranging from classic topics to ray tracing, molecular symmetry, and structural engineering
This book is intended for first undergraduate courses in linear algebra, including service courses and active-learning classrooms, and is suitable for both instruction and self-study.
Erik Wallace is an Assistant Professor of Instruction in Mathematics at Temple University. He earned a BA in Mathematics from Hartwick College and a PhD in Mathematics from Indiana University, specializing in number theory. He has extensive experience teaching linear algebra and related courses to non-majors and focuses on active learning, accessibility, and meaningful applications, integrating computation, SageMath, Python, and AI-assisted tools into his teaching.
More details
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Product notice
Reflowable
Illustrations
38 Line drawings, black and white; 38 Illustrations, black and white
File size
6,81 MB
ISBN-13
978-1-040-85014-5 (9781040850145)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Book
approx. 08/2026
1st Edition
Taylor & Francis
€69.50
Not yet published

Book
approx. 08/2026
1st Edition
Taylor & Francis
€173.50
Not yet published
Person
Erik Wallace is an Assistant Professor of Instruction in Mathematics at Temple University. He earned a BA in Mathematics from Hartwick College and a PhD in Mathematics from Indiana University, specializing in number theory. He has extensive experience teaching linear algebra and related courses to non-majors and focuses on active learning, accessibility, and meaningful applications, integrating computation, SageMath, Python, and AI-assisted tools into his teaching.
Content
0. General Skill. 1. Matrix Arithmetic. 2. Systems of Linear Equations. 3. Linear Independence and Determinants. 4. Vector Spaces and Subspaces. 5. Belonging. 6. Orthogonality. 7 Representation Theory. 8 Applications.
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