Mathematics: Subdisciplines and Concepts

Algebra, calculus, topology, and probability

Number theory, geometry, statistics, and calculus

Arithmetic, calculus, trigonometry, and statistics

Number theory, algebra, geometry, and analysis (correct)

Collection of empirical data to form mathematical theories

Experimentation with physical objects to derive mathematical principles

Discovery of properties of abstract objects and use of pure reason to prove them (correct)

Application of statistical methods to solve mathematical problems

A series of experimental trials to validate mathematical concepts

A succession of applications of deductive rules to already established results (correct)

A collection of assumptions without logical reasoning

An aggregation of anecdotal evidence supporting a mathematical claim

<p>Natural sciences, engineering, medicine, finance, computer science, and social sciences</p> Signup and view all the answers

<p>In close correlation with their applications and often grouped under applied mathematics</p> Signup and view all the answers