Mathematics Mastery Quiz

The major subdisciplines are number theory, algebra, geometry, and analysis.

Mathematical objects consist of entities that are stipulated to have certain properties, called axioms.

Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them.

<p>A proof consists of a succession of applications of deductive rules to already established results, including previously proved theorems, axioms, and some basic properties.</p> Signup and view all the answers

<p>Some basic properties that are considered true starting points of the theory.</p> Signup and view all the answers

<p>Analytic geometry is the study of geometry using a coordinate system. It is used in physics, engineering, aviation, rocketry, space science, and spaceflight.</p> Signup and view all the answers

<p>The modern fields of geometry based on the foundation of analytic geometry include algebraic, differential, discrete, and computational geometry.</p> Signup and view all the answers

<p>The Cartesian coordinate system is applied to manipulate equations for planes, straight lines, and circles, often in two and sometimes three dimensions.</p> Signup and view all the answers

<p>Analytic geometry is concerned with defining and representing geometric shapes in a numerical way and extracting numerical information from shapes' numerical definitions and representations.</p> Signup and view all the answers

<p>The algebra of the real numbers can be employed to yield results in analytic geometry.</p> Signup and view all the answers