Method of Fluxions is a book by Isaac Newton . The book was completed in 1671 , and published in 1736 . Fluxions is Newton 's term for differential calculus -LRB- fluents was his term for integral calculus -RRB- . He originally developed the method at Woolsthorpe Manor during the closing of Cambridge during the Great Plague of London from 1665 to 1667 , but did not choose to make his findings known -LRB- similarly , his findings which eventually became the Philosophiae Naturalis Principia Mathematica were developed at this time and hidden from the world in Newton 's notes for many years -RRB- . Gottfried Leibniz developed his calculus around 1673 , and published it in 1684 , fifty years before Newton . The calculus notation we use today is mostly that of Leibniz , although Newton 's dot notation for differentiation for denoting derivatives with respect to time is still in current use throughout mechanics and circuit analysis . Newton 's Method of Fluxions was formally published posthumously , but following Leibniz 's publication of the calculus a bitter rivalry erupted between the two mathematicians over who had developed the calculus first and so Newton no longer hid his knowledge of fluxions .