The History of Mathematics and Its Applications

The area of study known as the history of mathematics is primarily an investigation into the origin of discoveries in mathematics and, to a lesser extent, an investigation into the mathematical methods and notation of the past.
Beginning in the 6th century BC with the Pythagoreans, with Greek mathematics the Ancient Greeks began a systematic study of mathematics as a subject in its own right. Around 300 BC, Euclid introduced the axiomatic method still used in mathematics today, consisting of definition, axiom, theorem, and proof.
Mathematics includes the study of topics like quantity (number theory), structure (algebra), space (geometry), and change (analysis). There is no generally accepted definition for mathematics.
Mathematicians seek and use patterns to formulate new conjectures, they resolve the truth or falsity of such by mathematical proof.