A structured visual guide to the major mathematical areas and their relationships.
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This subject studies vector spaces, linear maps, and matrices, which form the basic language of much of modern mathematics and applied science. It is indispensable in statistics, machine learning, differential equations, optimization, and quantum mechanics.
This subtopic studies linear and multilinear algebra, covering vector spaces, tensors, linear maps, and the structural principles that govern these systems.
This subtopic studies special matrices, including Toeplitz, Hermitian, sparse, and structured matrices that arise in analysis and computation.