Discover finite-dimensional linear analysis through an innovative problem-based approach in FINITE-DIMENSIONAL LINEAR ANALYSIS. This Dover Book on Mathematics presents over 2,400 propositions and problems, guiding students to construct formal proofs from basic verifications to advanced techniques with minimal hints. It offers a unique introduction to functional analysis by framing it within linear analysis, allowing conceptual exploration toward infinite dimensionality without explicit complexities. Ideal for motivated students, independent study, seminars, and advanced undergraduate or graduate courses, this systematic presentation emphasizes active learning by doing mathematics. Enhance your understanding of linear algebra and prepare for functional analysis with this engaging and rigorous text from The Bookish Owl.