Mathematics: Concepts and Subdisciplines

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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

What does a proof consist of?

a succession of applications of deductive rules to already established results

What are some areas of mathematics that are developed in close correlation with their applications?

statistics and game theory

In what areas is mathematics essential?

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

Test your knowledge of numbers, formulas, shapes, and mathematical structures in this quiz about the major subdisciplines of mathematics. From number theory to analysis, see how well you understand the diverse topics in this field.

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