The Method of Fluxions and Infinite Series: With Its Application to the Geometry of Curve-Lines (1736)

The Method of Fluxions and Infinite Series: With Its Application to the Geometry of Curve-Lines is a mathematical treatise written by the renowned English physicist and mathematician, Sir Isaac Newton. Originally published in 1736, the book is a comprehensive guide to the calculus and its various applications in the field of geometry.The book is divided into two parts, with the first part dealing with the method of fluxions and the second part focusing on infinite series. The method of fluxions is a precursor to the modern concept of calculus, and Newton uses this method to develop a systematic approach to solving problems involving rates of change and slope of curves.The second part of the book deals with infinite series, which are a fundamental concept in mathematical analysis. Newton uses this concept to develop a more comprehensive understanding of the properties of curves and their behavior under different conditions.Throughout the book, Newton provides numerous examples and applications of his theories, including the calculation of areas and volumes, the determination of tangents and normals to curves, and the solution of differential equations. The book is written in a clear and concise style, making it accessible to both students and professionals in the field of mathematics.Overall, The Method of Fluxions and Infinite Series: With Its Application to the Geometry of Curve-Lines is a seminal work in the history of mathematics, and remains an important reference for anyone interested in the development of calculus and its applications in geometry.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.