Historia Matheseos - early development stage. Historiography of the history of mathematics

The history of mathematics was evolving together with the mathematics itself. Its methodology gradually established. Having started with short excursuses in the history of certain issues and biographical details of scientists, the history of mathematics ended up with research using historical, textual, and mathematical methods, and achieved significant results. One would find wealth of diverse literature devoted to the history of mathematics – from popular literature to rigorous research. People in all countries studied the history of mathematics; it is included in education courses; it is interesting for all lovers of mathematics. We consider the establishment of the history of mathematics as a science and the formation of its methodology from the IV century BC until the Age of Enlightenment.