Linear Algebra by Example
An Active Approach
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Product details:
- Edition number 1
- Publisher CRC Press
- Date of Publication 10 August 2026
- ISBN 9781041235040
- Binding Hardback
- No. of pages374 pages
- Size 254x178 mm
- Language English
- Illustrations 38 Illustrations, black & white; 38 Line drawings, black & white 700
Categories
Short description:
This book offers a modular, concept-driven introduction to linear algebra designed for undergraduate students across mathematics, engineering, computer science, and the sciences.
MoreLong description:
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.
Table of Contents:
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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