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 in mathematics consist of?

a succession of applications of deductive rules to already established results

In which fields is mathematics essential?

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

Are the fundamental truths of mathematics dependent on scientific experimentation?

No

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

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