Pure Mathematics (Noun)
Meaning
The branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness.
Classification
Nouns denoting cognitive processes and contents.
Examples
- The study of abstract algebra falls under pure mathematics as it doesn't have immediate real-world applications but provides structure for other branches of math.
- Many mathematicians focus on pure mathematics to further their understanding of mathematical concepts without being influenced by external applications.
- The field of topology is considered a part of pure mathematics since it is primarily concerned with theoretical exploration of spaces and shapes.
- A significant amount of research in pure mathematics seeks to establish and verify proofs for already existing theories rather than developing new practical solutions.
- Pure mathematics covers topics like number theory, algebraic geometry, and logic that often guide the creation of new applied mathematics concepts.