Covers standard topics like linear independence, bases, dimension, and linear transformations, but interprets them through a geometric lens.
If you are currently studying or planning to dive into Geometric Algebra, let me know:
Introducing the inner and outer products. alan macdonald linear and geometric algebra pdf
is available which outlines the book's philosophy of unifying mathematics through geometric ideas. : Macdonald also authored a follow-up text titled Vector and Geometric Calculus Luther College Why It's Used
Introduces basic vector operations, areas, and the geometric product in two dimensions. : Macdonald also authored a follow-up text titled
Covers the fundamentals: vector spaces, linear transformations, matrices, determinants, and eigenvalues.
Alan Macdonald’s Linear and Geometric Algebra is a textbook designed for undergraduate courses that integrates traditional linear algebra with geometric (Clifford) algebra. Luther College Core Content and Structure Luther College Core Content and Structure Alan Macdonald’s
Alan Macdonald’s "Linear and Geometric Algebra" is a concise, modern treatment that bridges standard linear algebra and geometric (Clifford) algebra, aimed at students and practitioners who want both computational tools and geometric insight. The text’s PDF form has circulated widely because it presents advanced ideas clearly, with an emphasis on applications and conceptual unity.