Glossary of areas of mathematics

Mathematics is a broad subject that is commonly divided in many areas or branches that may be defined by their objects of study, by the used methods, or by both.

For example, analytic number theory is a subarea of number theory devoted to the use of methods of analysis for the study of natural numbers.

This hides a large part of the relationships between areas.

The Mathematics Subject Classification is a hierarchical list of areas and subjects of study that has been elaborated by the community of mathematicians.

It is used by most publishers for classifying mathematical articles and books.