The Doctrine and Application of Fluxions, Part 1 is a mathematical treatise written by Thomas Simpson and published in 1776. The book is divided into three sections, with the first section introducing the concept of fluxions, which is the precursor to calculus. Simpson explores the basic principles of fluxions, including their definition, notation, and application in solving mathematical problems.The second section of the book focuses on the application of fluxions to the solution of problems in geometry, mechanics, and astronomy. Simpson presents a wide range of examples and exercises, demonstrating the versatility of the fluxion concept and its usefulness in a variety of fields.The final section of the book is devoted to the study of infinite series, including their definition, notation, and convergence properties. Simpson provides a detailed analysis of various types of series, including geometric series, harmonic series, and power series.Throughout the book, Simpson emphasizes the importance of rigor and precision in mathematical reasoning, and provides detailed explanations and proofs of the concepts presented. The Doctrine and Application of Fluxions, Part 1 is a foundational work in the development of calculus and remains an important reference for students and scholars of mathematics.Containing A Number Of New Improvements In The Theory And The Solution Of A Variety Of New, And Very Interesting, Problems In Different Branches Of The Mathematics.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.
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