The Method of Fluxions and Infinite Series: With Its Application to the Geometry of Curve-Lines is a mathematical treatise written by the legendary physicist and mathematician, Sir Isaac Newton. Originally published in 1736, this book is considered to be one of the most important works in the history of calculus.In this book, Newton lays out his method of fluxions, which is essentially a precursor to the modern concept of calculus. He also introduces the concept of infinite series, which is a fundamental tool in calculus. The book is divided into two parts, with the first part covering the theory of fluxions and the second part focusing on the application of these concepts to the geometry of curve-lines.The first part of the book begins with an introduction to the concept of fluxions, which Newton defines as the ""velocity of evanescent increments."" He then goes on to develop the theory of fluxions, including the rules for differentiation and integration. The second part of the book focuses on the application of these concepts to the geometry of curve-lines, including the determination of tangents, the measurement of curves, and the calculation of areas and volumes.Overall, The Method of Fluxions and Infinite Series is a seminal work in the history of mathematics, and it remains an important reference for anyone studying calculus or the history of mathematics.This Is A New Release Of The Original 1736 Edition.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.