Pure mathematics is a branch of mathematics that focuses on abstract concepts and theoretical frameworks rather than practical applications. It explores ideas such as numbers, shapes, and structures, often without concern for how these concepts might be used in the real world. This field includes various areas like algebra, geometry, and calculus, where mathematicians develop theories and proofs. The goal is to understand the underlying principles of mathematics itself, which can lead to new discoveries and insights that may eventually influence applied mathematics and other scientific disciplines.