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After completing the CAPTCHA below, you will immediately regain access to www. This article is about the study of topics such as quantity and structure. Greek mathematician, 3rd century BC, as imagined by Raphael in this detail from The School of Athens. Rigorous arguments first appeared in Greek mathematics, most notably in Euclid’s Elements. The universe cannot be read until we have learned the language and become familiar with the characters in which it is written. It is written in mathematical language, and the letters are triangles, circles and other geometrical figures, without which means it is humanly impossible to comprehend a single word. Without these, one is wandering about in a dark labyrinth.

Mathematics is essential in many fields, including natural science, engineering, medicine, finance and the social sciences. Applied mathematics has led to entirely new mathematical disciplines, such as statistics and game theory. The history of mathematics can be seen as an ever-increasing series of abstractions. Between 600 and 300 BC the Ancient Greeks began a systematic study of mathematics in its own right with Greek mathematics. Mathematics has since been greatly extended, and there has been a fruitful interaction between mathematics and science, to the benefit of both. Mathematical discoveries continue to be made today. The word for “mathematics” came to have the narrower and more technical meaning “mathematical study” even in Classical times.