Mathematics: Topics and Subdisciplines

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What are the major subdisciplines of modern mathematics?

Number theory, algebra, geometry, and analysis

What consists of a succession of applications of deductive rules to already established results in mathematics?

Proof

Which areas extensively use mathematics for modeling phenomena?

Natural sciences, engineering, medicine, finance, computer science, and social sciences

What are the fundamental truths of mathematics independent from?

Any scientific experimentation

Which areas of mathematics are often grouped under applied mathematics?

Statistics and game theory

Explore the fundamental topics and subdisciplines of mathematics, from numbers and formulas to shapes and spaces. Delve into the diverse areas of number theory, algebra, geometry, and analysis to understand the breadth of this academic discipline.

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