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Clark, James Gregory

 
9781163247679: Elements Of The Infinitesimal Calculus: With Numerous Examples And Applications To Analysis And Geometry

Sinopsis

Elements Of The Infinitesimal Calculus: With Numerous Examples And Applications To Analysis And Geometry is a comprehensive textbook written by James Gregory Clark. The book covers the fundamental principles of the infinitesimal calculus with a focus on providing numerous examples and applications to analysis and geometry. The book is intended for students who are looking to develop a deep understanding of the subject matter and its practical applications.The book is divided into several chapters, each covering a specific topic in the infinitesimal calculus. The first chapter introduces the basic concepts of limits, derivatives, and integrals. The subsequent chapters delve deeper into these concepts, exploring topics such as differential equations, series, and Fourier analysis.Throughout the book, Clark provides numerous examples and applications of the concepts covered. These examples range from simple exercises to more complex problems, allowing students to develop their problem-solving skills and gain a deeper understanding of the subject matter.The book also includes a section on applications to analysis and geometry. This section explores how the infinitesimal calculus can be applied to real-world problems in areas such as physics, engineering, and economics. It also covers topics such as vector calculus, differential geometry, and topology.Overall, Elements Of The Infinitesimal Calculus: With Numerous Examples And Applications To Analysis And Geometry is a comprehensive textbook that provides a thorough introduction to the subject matter. It is an essential resource for students studying calculus and its practical applications.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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Reseña del editor

This scarce antiquarian book is included in our special Legacy Reprint Series. In the interest of creating a more extensive selection of rare historical book reprints, we have chosen to reproduce this title even though it may possibly have occasional imperfections such as missing and blurred pages, missing text, poor pictures, markings, dark backgrounds and other reproduction issues beyond our control. Because this work is culturally important, we have made it available as a part of our commitment to protecting, preserving and promoting the world's literature.

Reseña del editor

The Infinitesimal Calculus is generally considered to be the most diffieiilt branch of pure mathematics to which the attention of the student is directed. It is certainly the most powerful instrument of investigation known to the mathematician, and its philosophy is as profound as its methods are far-reaching and comprehensive. But we believe that its difficulties, in so far as they are not purely algebraic, are due quite as much to the manner in which its first princ ples are usually exhibited, as to any inherent obscurity in the subject itself. In the preparation of the following treatise, the attempt has been made to remove all grounds for that feeling of uncertainty which often possesses the student at the very outset, and from which he rarely finds it possible afterward to extricate himself. With this end in view, considerable space has been devoted to an exposition of the doctrine of limits, which has been made the basis of both theD iiferential and the Integral Calculus. Many demonstrations might have been abridged, and apparently simplified, by the adoption of the ordinary method of infinitely small quantities; but this would have been, in the opinion of the writer, at the expense of a sound philosophy, for which, in a work intended primarily for educational purposes, the advantage of mere brevity could ofler no compensation.
(Typographical errors above are due to OCR software and don't occur in the book.)

About the Publisher

Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.

Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the aged text.

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