Mathematics: Basics and Subdisciplines

Abstract algebra, combinatorics, set theory, and logic

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

Calculus, trigonometry, statistics, and probability

Linear algebra, differential equations, topology, and discrete mathematics

Using trial and error to solve mathematical problems

Conducting experiments to validate mathematical theories

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

Applying statistical methods to analyze mathematical data

By collecting data from experiments and drawing conclusions

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

By relying solely on intuition and creativity

By trial and error until a satisfactory solution is found

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

<p>Fundamental truths of mathematics</p> Signup and view all the answers