For a comprehensive introduction to the concepts in Alan Macdonald's work, the best article is A Survey of Geometric Algebra and Geometric Calculus (2017). Published in Advances in Applied Clifford Algebras
Scope and purpose
Linear and Geometric Algebra by Alan Macdonald is a textbook for undergraduate students that unifies traditional linear algebra with geometric algebra using coordinate-free methods. It introduces the "geometric product" to represent subspaces and simplifies complex mathematics for applications in physics and engineering. For an example of the text and related materials, you can look for the author's other works, such as the GAlgebra Primer at faculty.luther.edu Geometric Algebra - arXiv alan macdonald linear and geometric algebra pdf
Do not assume this book is just for beginners. In the later chapters of the PDF, Macdonald tackles advanced modern topics: For a comprehensive introduction to the concepts in