Theoretical Mathematics

Theoretical mathematics is the branch of mathematics focused on abstract concepts and structures rather than practical applications. It explores fundamental ideas such as numbers, shapes, and patterns, developing theories and models to explain mathematical principles. This area includes fields like algebra, geometry, and number theory, often seeking to understand underlying truths rather than solving specific problems. Theoretical mathematicians work to advance knowledge, provide new insights, and sometimes lay the groundwork for future practical applications, much like how physics can inspire new technologies.