Mathematics: Topics and Subdisciplines

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What does mathematical activity involve?

The discovery of properties of abstract objects and the use of pure reason to prove them

What are the major subdisciplines of modern mathematics?

Number theory, algebra, geometry, and analysis

What do proofs 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 social sciences

Are the fundamental truths of mathematics independent from scientific experimentation?

Yes

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

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