Mathematics: Concepts and Subdisciplines

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What are the major subdisciplines of modern mathematics?

Number theory, algebra, geometry, and analysis

What do the fundamental truths of mathematics remain independent from?

Any scientific experimentation

What do most mathematical activities involve?

Discovery of properties of abstract objects and use of pure reason to prove them

In which fields is mathematics essential?

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

What does a proof in mathematics consist of?

A succession of applications of deductive rules to already established results

Test your knowledge of mathematics by exploring its various topics, including numbers, formulas, shapes, and quantities, as well as its major subdisciplines such as number theory, algebra, geometry, and analysis.

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