Mathematics: Major Subdisciplines and Concepts

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What are the major subdisciplines of modern mathematics?

number theory, algebra, geometry, and analysis

What does most mathematical activity involve?

the discovery of properties of abstract objects and the use of pure reason to prove them

In what ways is mathematics essential in various fields?

natural sciences, engineering, medicine, finance, computer science, and the social sciences

What does a proof in mathematics consist of?

a succession of applications of deductive rules to already established results

What are some areas of mathematics that are often grouped under applied mathematics?

statistics and game theory

Test your knowledge of the major subdisciplines of modern mathematics such as number theory, algebra, geometry, and analysis. Explore topics related to numbers, formulas, shapes, spaces, and quantities.

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