Mathematics: Structures, Shapes, and Quantities

Algebra, calculus, topology, and probability

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

Arithmetic, calculus, trigonometry, and statistics

Geometry, statistics, number theory, and logic

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

An iterative process of trial and error

A combination of inductive reasoning and empirical evidence

A series of experimental tests to validate theorems

It is mainly used in natural sciences and computer science

It is essential only in the field of engineering

It is essential in the natural sciences, engineering, medicine, finance, computer science and the social sciences (correct)

It has limited applications in finance and medicine

<p>The discovery of properties of abstract objects and the use of pure reason to prove them</p> Signup and view all the answers

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