Mathematics

Mathematics is an area of knowledge that includes such topics as numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. Most mathematical activity involves the use of pure reason to discover or prove the properties of abstract objects, which consist of either abstractions 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 some basic properties that are considered as true starting points of the theory under consideration. Mathematics is used in science for modeling phenomena, which then allows predictions to be made from experimental laws. The independence of mathematical truth from any experimentation implies that the accuracy of such predictions depends only on the adequacy of the model.

Read more in the app

Mathematics enable scientists to understand organization within a cell's nucleus

‘Mathematics is an unknown land’: meet Fields Medal winner Maryna Viazovska

How Mathematics Solved The Burger Flipping Problem

A universe without mathematics is beyond the scope of our imagination

The universe would not make sense without mathematics

The Evolving Quest for a Grand Unified Theory of Mathematics

3 Revolutionary Women of Mathematics

Where mathematics and a social perspective meet data

AI Is Discovering Patterns in Pure Mathematics That Have Never Been Seen Before

Pythagoras’ Revenge: Humans Didn’t Invent Mathematics, It’s What the Physical World Is Made Of

Did Humans Invent Mathematics, or Is It a Fundamental Part of Existence?

What is mathematics?

Infinity Category Theory Offers a Bird's-Eye View of Mathematics

Infinity Category Theory Offers a Bird's-Eye View of Mathematics

From mathematics to medicine: Applying complex mathematics to analyze fMRI data

Modern Mathematics Confronts Its White, Patriarchal Past

The mathematics of repulsion for new graphene catalysts

The mathematics of repulsion for new graphene catalysts

Revealing the values in mathematics education through a variety of cultural lenses

Applying mathematics takes 'friendship paradox' beyond averages