Outline of mathematics
The following outline is provided as an overview of and topical guide to mathematics:
Mathematics – the search for fundamental truths in pattern, quantity, and change. For more on the relationship between mathematics and science, refer to the article on science.
Nature of mathematics
- Definitions of mathematics – Mathematics has no generally accepted definition. Different schools of thought, particularly in philosophy, have put forth radically different definitions, all of which are controversial.
- Philosophy of mathematics – its aim is to provide an account of the nature and methodology of mathematics and to understand the place of mathematics in people's lives.
Mathematics is
- an academic discipline – branch of knowledge that is taught and researched at the college or university level. Disciplines are defined (in part), and recognized by the academic journals in which research is published, and the learned societies and academic departments or faculties to which their practitioners belong.
- a formal science – branch of knowledge concerned with the properties of formal systems based on definitions and rules of inference. Unlike other sciences, the formal sciences are not concerned with the validity of theories based on observations in the real world.
General reference
Classification systems
Reference databases
- Mathematical Reviews – journal and online database published by the American Mathematical Society (AMS) that contains brief synopses (and occasionally evaluations) of many articles in mathematics, statistics and theoretical computer science.
- Zentralblatt MATH – service providing reviews and abstracts for articles in pure and applied mathematics, published by Springer Science+Business Media. It is a major international reviewing service which covers the entire field of mathematics. It uses the Mathematics Subject Classification codes for organising their reviews by topic.
Subjects
Quantity
Quantity –
Structure
Structure –
Space
Space –
Change
Change –
Foundations and philosophy
Foundations of mathematics –
Mathematical logic
Mathematical logic –
Discrete mathematics
Discrete mathematics –
Applied mathematics
Applied mathematics –
History
- Main article: History of mathematics
General concepts
Influential mathematicians
See also