The Map of Mathematics

The entire field of mathematics is summarised in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from.

SchoolTube highlights high-quality Math videos that showcase the foundational subject of Mathematics or ‘Math’. Mathematics (from Ancient Greek μάθημα; máthēma: ‘knowledge, study, learning) is an area of knowledge that includes such topics as numbers (arithmetic and number theory), formulas, and related structures (algebra), shapes and the spaces in which they are contained (geometry), and quantities and their changes (calculus and analysis). Most mathematical activity involves the use of pure reason to discover or prove the properties of abstract objects, which consist of either abstraction from nature or—in modern mathematics—entities that are stipulated with certain properties, called axioms. A mathematical proof consists of a succession of applications of some deductive rules to already known results, including previously proved theorems, axioms, and (in the case of abstraction from nature) some basic properties that are considered true starting points of the theory under consideration. SchoolTube Math videos feature teachers academics, students, and publishing professionals sharing their knowledge and learning experiences.