Linear Algebra

Mathematical Physics

Mathematical physics is the application of mathematical methods to problems in physics. It involves formulating physical theories and problems mathematically, solving the resulting equations, and interpreting the solutions in physical terms. Key Characteristics / Core Concepts Utilizes advanced mathematical tools such as differential equations, linear algebra, and group theory. Focuses on developing and solving mathematical … Read more

Functional Analysis

Functional analysis is a branch of mathematical analysis that studies vector spaces endowed with some kind of limit-related structure (e.g., inner product, norm, topology), along with linear functions defined on these spaces. It’s a powerful tool that connects abstract algebra, topology, and analysis, with applications throughout mathematics, engineering, and computer science. Key Characteristics / Core … Read more