Mathematics: Definitions and Subdisciplines

The major subdisciplines of modern mathematics mentioned in the text are number theory, algebra, geometry, and analysis.

Mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them.

A proof consists of a succession of applications of deductive rules to already established results, including previously proved theorems, axioms, and some basic properties.

<p>Mathematics is essential in the natural sciences, engineering, medicine, finance, computer science, and the social sciences for modeling phenomena, although the fundamental truths of mathematics are independent from any scientific experimentation.</p> Signup and view all the answers

<p>Some areas of mathematics, such as statistics and game theory, are developed in close correlation with their applications and are often grouped under applied mathematics.</p> Signup and view all the answers