A favorite among theorists. Axler avoids using determinants until the very end, focusing instead on linear maps and operators to provide a deeper understanding of the structure of vector spaces.
Highly recommended for beginners due to its clear examples and applications to things like DNA and cryptography. 4. Linear Algebra: Beyond the Matrix higher mathematics books
: While many books focus on the computation of matrices, Strang emphasizes the geometry of vector spaces and linear transformations, which are the backbone of modern data science and quantum mechanics. 3. Geometry and Topology A favorite among theorists
: Unlike traditional texts that rely heavily on determinants, Axler focuses on linear maps and operators. It’s a cleaner, more modern approach to a fundamental subject. by Michael Spivak higher mathematics books