However, it is a terrible first exposure to the subject. Think of it as the graduate seminar after the introductory lecture. If you are ready for it, this book will reward you with a depth of understanding that applied texts cannot touch. If you are not ready, it will crush your spirit.
9/10 (Deducting 1 point for lack of computational/applied context and dense presentation for beginners). linear algebra 5th edition by friedberg insel and spence
This review is aimed at upper-level undergraduate students, beginning graduate students, and self-learners who are serious about the mathematical rigor of the subject. Overall Rating: 4.7/5 Target Audience: Mathematics majors, aspiring pure mathematicians, theoretical physicists, and anyone needing a deep understanding of vector spaces. Best Suited For: Proof-based courses, second courses in Linear Algebra, self-study for those comfortable with mathematical abstraction. The Core Philosophy: Proofs over Computations Unlike the popular "Applied Linear Algebra" texts (e.g., by Strang, Lay, or Anton), the Friedberg/Insel/Spence text makes its mission clear from page one: You are here to understand why linear algebra works, not just how to compute an eigenvalue. However, it is a terrible first exposure to the subject
You want to master the theory of linear algebra. Borrow it if: You need to pass a first-year engineering course. Avoid it if: You hate proofs. If you are not ready, it will crush your spirit