This is a classic, concise introduction to linear algebra, written by one of the 20th century’s most influential mathematicians. Unlike many modern textbooks that emphasize computation and applications, Gelfand’s approach is and geometric .
| Textbook | Strengths | Weaknesses | |----------|-----------|-------------| | Gelfand (1961) | Abstract, elegant, short, deep | Few problems, terse proofs, no applications | | Strang (MIT) | Intuitive, visual, applications-rich | Less rigorous, long-winded | | Hoffman & Kunze | Very rigorous, thorough | Dry, difficult for self-study | | Axler (LADR) | Determinant-free approach | Unconventional, skips determinants until later | | Shilov (another Russian classic) | Clear, good exercises | More computational than Gelfand | gelfand lectures on linear algebra pdf
A: Archival scans sometimes have missing pages, faded equations, or Russian typographical quirks. The Dover reprint is clean. This is a classic, concise introduction to linear
If you have never seen linear algebra before, this book will be very difficult. It assumes mathematical maturity (ability to follow abstract proofs) and does not hold your hand. Exercises are few and often nontrivial. The Dover reprint is clean