The history of the calculus and its conceptual developmentCarl B. Boyer
The history of the calculus and its conceptual development
by Carl B. Boyer · first published 1959
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…had begun to discover the principles of calculus." This has been known for several decades, ever since Heiberg transcribed some of the text (I don't know how much), per the article. I refer you to The History of the Calculus and Its Conceptual Development, a 1949 book by Carl B. Boyer, reprinted by Dover Publications [ISBN 0486605094]. Boyer writes several pages about Archimedes' method of exhaustion, notions of the infinitesimal, and so on. The main footnote…
on “Long-lost text shows Archimedes had begun to discover the principles of calculus” ↗…Theorem of Calculus! He's figured out that derivatives (rates of change) and integrals (areas under curves) are somehow inverses (at least in this case). Newton was pretty amazing! [1] Carl Boyer, "The History of the Calculus and Its Conceptual Development". Dover Publications, 1949.
on “On Leibniz Notation” ↗…so far have this small list of books related to Maths history that look worth reading: Mathematics and Its History (Undergraduate Texts in Mathematics) 3rd ed. 2010 Edition by John Stillwell The History of the Calculus and Its Conceptual Development (Dover Books on Mathematics) by Carl B. Boyer A History of Mathematics by Carl B. Boyer A Concise History of Mathematics: Fourth Revised Edition (Dover Books on Mathematics)A Concise History of…
on “Galois Theory” ↗