Mathematics: Numbers, Formulas, and Structures

Number theory, algebra, geometry, and analysis

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

A succession of applications of deductive rules to already established results

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

<p>Any scientific experimentation</p> Signup and view all the answers

<p>The word 'mathematics' comes from the Ancient Greek máthēma, meaning 'that which is learnt' or 'study'.</p> Signup and view all the answers

<p>The word 'mathēmatikós' means 'related to learning' or 'studious', and further came to mean 'mathematical'.</p> Signup and view all the answers

<p>The Pythagoreans were likely the first to constrain the use of the word 'mathēmatikoi' to just the study of arithmetic and geometry.</p> Signup and view all the answers

<p>In Latin and English until around 1700, the term 'mathematics' more commonly meant 'astrology' (or sometimes 'astronomy') rather than 'mathematics'.</p> Signup and view all the answers

<p>The use of integer factorization in the RSA cryptosystem, giving it a practical application, was a result of the foundational crisis of mathematics at the end of the 19th century.</p> Signup and view all the answers