The Method of Fluxions and Infinite Series: With Its Application to the Geometry of Curve-Lines is a book written by the renowned English mathematician and physicist, Sir Isaac Newton. Originally published in 1736, the book is a comprehensive treatise on the subject of calculus, which Newton himself had developed in the late 17th century.The book is divided into two parts. The first part deals with the concept of fluxions, which is Newton's term for what is now known as derivatives. The second part covers infinite series, which are used to represent functions as a sum of infinitely many terms. These concepts are the foundation of calculus, and the book provides a detailed explanation of their development and application.In addition to the mathematical theory, the book also includes practical examples and applications of calculus to the geometry of curve-lines. Newton uses this to demonstrate how calculus can be used to solve real-world problems, such as the determination of the area and length of curves.Overall, The Method of Fluxions and Infinite Series is a seminal work in the history of mathematics, and remains a valuable resource for students and scholars of calculus and mathematical physics.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.