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''An Expository Sketch Of A New Theory Of The Calculus'' is a book written by William Batchelder Greene and published in 1859. The book presents a new theory of calculus, which is a branch of mathematics concerned with the study of continuous change. Greene’s theory is based on the idea that calculus can be understood as a system of logic, rather than just a set of mathematical rules.The book is divided into six chapters, each of which explores a different aspect of Greene’s theory. Chapter one provides an introduction to the theory and explains the basic concepts of calculus. Chapter two delves into the mathematical foundations of the theory, while chapter three discusses the concept of limits and their role in calculus.Chapter four is devoted to the idea of differentiation, which is the process of finding the rate of change of a function. Chapter five explores integration, which is the process of finding the area under a curve. Finally, chapter six provides a summary of the theory and its applications.Overall, ''An Expository Sketch Of A New Theory Of The Calculus'' is a groundbreaking work that challenged traditional ideas about calculus and paved the way for new developments in the field. It is a must-read for anyone interested in the history and evolution of 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.
