Mathematics: A Diverse Academic Discipline

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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 use of pure reason to prove properties of abstract objects

What are the fundamental truths of mathematics independent from?

Any scientific experimentation

Which areas of mathematics are often grouped under applied mathematics?

Calculus and statistics

What do mathematical proofs consist of?

A succession of applications of deductive rules to established results

Test your knowledge of mathematics by exploring its major subdisciplines and core topics, including number theory, algebra, geometry, and analysis. Delve into the fundamental concepts and structures that form the basis of modern mathematics.

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