Mathematics Mastery

<p>Numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes.</p> Signup and view all the answers

<p>Number theory, algebra, geometry, and analysis.</p> Signup and view all the answers

<p>Through the use of pure reason and the application of deductive rules to already established results.</p> Signup and view all the answers

<p>Number theory, algebra, geometry, and analysis</p> Signup and view all the answers

<p>Through mathematical activity and the use of pure reason</p> Signup and view all the answers

<p>A succession of applications of deductive rules to already established results</p> Signup and view all the answers

<p>Mathematics includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes.</p> Signup and view all the answers

<p>The major subdisciplines of modern mathematics are number theory, algebra, geometry, and analysis.</p> Signup and view all the answers

<p>A proof in mathematics consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, and—in case of abstraction from nature—some basic properties that are considered true starting points of the theory.</p> Signup and view all the answers