Mathematics: Major Subdisciplines and Concepts

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What are the major subdisciplines of modern mathematics?

Number theory, algebra, geometry, and analysis

What is the primary method used in mathematical activity?

Discovery of properties of abstract objects and use of pure reason

What do proofs in mathematics consist of?

A succession of applications of deductive rules to already established results

In which areas is mathematics essential?

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

What are some areas often grouped under applied mathematics?

Statistics and game theory

Explore the fundamental topics in modern mathematics, including numbers, formulas, shapes, and quantities. Learn about the major subdisciplines of number theory, algebra, geometry, and analysis.

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