Mathematics: Major Subdisciplines and Concepts
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Questions and Answers

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

In what ways is mathematics essential in various fields?

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

What does a proof in mathematics consist of?

<p>a succession of applications of deductive rules to already established results</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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