An Expository Sketch Of A New Theory Of The Calculus (1859)

""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 that deals with the study of continuous change. In this theory, Greene proposes a new approach to the fundamental concepts of calculus, such as limits, derivatives, and integrals. The book is divided into two parts. The first part provides an overview of the traditional theory of calculus and its limitations. The second part presents Greene's new theory, which he calls the ""calculus of extension."" This theory is based on the idea that calculus should be viewed as a study of the extension of quantities, rather than as a study of their rates of change. Throughout the book, Greene uses clear and concise language to explain his ideas, making it accessible to readers with a basic understanding of calculus. He also includes numerous examples and illustrations to help readers understand the concepts he presents. Overall, ""An Expository Sketch Of A New Theory Of The Calculus"" is a thought-provoking book that challenges traditional ideas about calculus and presents a new perspective on this important branch 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.