Mathematics: Major Subdisciplines and Concepts

Arithmetic, calculus, topology, and differential equations

Probability, combinatorics, linear algebra, and discrete mathematics

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

Calculus, trigonometry, algebra, and statistics

Intuition and guesswork

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

Trial and error

Empirical observation and experimentation

Guesses and estimations

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

Intuitive leaps without evidence

Random assumptions without logical reasoning

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

<p>Statistics and game theory</p> Signup and view all the answers