Mathematics: Major 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 do proofs in mathematics consist of?

A succession of applications of deductive rules to already established results

In what 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, the fundamental truths of mathematics are independent from any scientific experimentation

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

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