Mathematics: Topics and Subdisciplines

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Which major subdiscipline of mathematics is primarily concerned with the study of properties and operations of numbers?

Number theory

In modern mathematics, which entities are stipulated to have certain properties and are called axioms?

Abstract objects

What does a proof in mathematics consist of?

A succession of applications of deductive rules

Which area of mathematics is extensively used for modeling phenomena in various fields such as natural sciences, engineering, and finance?

Statistics

In what way are some areas of mathematics, such as statistics and game theory, developed in close correlation with their applications?

They are often grouped under applied mathematics

Explore the diverse topics and subdisciplines of mathematics including numbers, formulas, structures, shapes, and quantities. Delve into the major subdisciplines of number theory, algebra, geometry, and analysis. Gain insight into the varied aspects of modern mathematics and the ongoing discussions about defining the academic discipline.

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