Linear and Geometric Algebra

First, the Linear Algebra part: I think this book is appropriate as a *second* introduction to Linear Algebra. The approach is very conceptual overall, and the vector space axioms are introduced very early in the book. Part 3 of the book dealing with Linear Transformations is the short treatment of the subject I have seen, and for me, the best part of the book.Next, the Geometric Algebra part: It is a great introduction to the subject. There is a lot of emphasis on the geometry, and the problems and exercises get the student calculating with multivectors which is very important in order to develop a muscle memory in working with geometric products. The book restricts itself to Euclidean metrics, rightly so in my opinion.Overall, the book is concise and yet covers a lot of ground. Most proofs are short and conceptual, rather than relying on algebra alone, which is just as it should be. This is one of the few Math textbooks I have read cover to cover including the problems and one I keep going back to often when I need to revisit a concept.On the downside, while the book covers a lot in its 200 odd pages, it leaves out a lot. This is not a suitable book for a first introduction to Linear Algebra, as there is not enough material on computational aspects, which is as important as the conceptual aspects. There is precious little about Matrices, no mention of Jordan Normal Form etc.Overall 5-stars.