Mathematics: Major Subdisciplines and Concepts

Statistics, geometry, analysis, calculus

Number theory, algebra, geometry, analysis (correct)

Number theory, geometry, calculus, statistics

Algebra, trigonometry, calculus, analysis

Through experimental observation

By applications of inductive reasoning

Through guesswork and trial-and-error

By use of pure reason and deductive rules (correct)

Entities stipulated to have certain properties, called axioms (correct)

Physical properties from natural phenomena

A collection of random properties

Abstractions from nature and pure imagination

<p>Natural sciences, engineering, medicine</p> Signup and view all the answers

<p>The independence from any scientific experimentation</p> Signup and view all the answers