Mathematics: Fundamental Knowledge Quiz

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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 in mathematics consist of?

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

In what fields is mathematics essential?

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

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

statistics and game theory

Test your knowledge of fundamental mathematical concepts including numbers, formulas, shapes, and quantities. Explore the major subdisciplines of number theory, algebra, geometry, and analysis.

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