Mathematics: Structure and Subdisciplines

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Questions and Answers

What are the major subdisciplines of modern mathematics?

number theory, algebra, geometry, and analysis

How is most mathematical activity described?

involves 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 what fields is mathematics essential?

<p>natural sciences, engineering, medicine, finance, computer science, and social sciences</p> Signup and view all the answers

What are some areas of mathematics that are often grouped under applied mathematics?

<p>statistics and game theory</p> Signup and view all the answers

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