What is Pure mathematics?
'''Pure mathematics''' is a field of [[mathematics]]. Other fields of mathematics are driven and motivated by [[applied mathematics|applications]], they can be used to solve ''real-world'' problems, for example [[mathematical physics]] in [[physics]] or [[engineering]]. In contrast, pure mathematics studies [[abstraction|abstract ideas]] or it tries to make [[Mathematical proof|proofs]] more beautiful or easier to understand. == Examples == * Generalizing [[theorem]]s: Finding a more general theorem can lead to a better understanding of mathematics. * Generality can also shorten proofs: There no longer is a need to handle special cases. This makes proofs shorter, simpler, and easier to follow or explain. {{math-stub}} [[Category:Fields of mathematics]]