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The Method of Fluxions: Both Direct and Inverse is a mathematical treatise written by Guillaume de l'Hospital and first published in 1730. The book is a comprehensive guide to the calculus of infinitesimals, a mathematical technique used to study continuous functions and their derivatives. The Method of Fluxions covers both direct and inverse methods of calculus, including the use of differential equations and integration techniques. The book is written in a clear and concise style, making it accessible to both advanced students and professional mathematicians. It is considered a classic work in the field of calculus and is still widely studied and referenced today.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.