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Elements of the Differential and Integral Calculus: With Examples and Applications (Classic Reprint) - Tapa blanda
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Excerpt from Elements of the Differential and Integral Calculus: With Examples and Applications
The much-abused form 0 /0 cannot arise in the Calculus or elsewhere from any principle of limits a distinctive service of the Theory of Limits is that it enables us to evaluate any determinate expression when it assumes this or any other indeterminate form.
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Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Excerpt from Elements of the Differential and Integral Calculus: With Examples and Applications
In this revision an attempt has been made to present in their unity the three methods commonly used in the Calculus. The concept of Rates is essential to a statement of the problems of the Calculus; the principles of Limits make possible general solutions of these problems, and the laws of Infinitesimals greatly abridge these solutions.
The Method of Rates, generalized and simplified, does not involve "the foreign element of time." For in measuring and comparing the rates of variables, the rate of any variable may be selected as the unit of rates, dy/dx is the x-rate of y, or the ratio of the rate of y to that of x, according as the rate of x is or is not the unit of rates.
The proofs of the principles of differentiation by the Method of Rates, and the numerous applications to geometry, mechanics, etc., found in Chapter II, render familiar the problem of rates before its solution by the Method of Limits or Infinitesimals is introduced.
In Chapter III, by proving that It (Δy/Δx) = dy/dx, the problem of rates is reduced to the problem of finding the limit of the ratio of infinitesimals.
The Theory of Infinitesimals is that part of the Theory of Limits which treats of variables having zero as their common limit. In approaching its limit an infinitesimal passes through a series of finitely small values before it reaches infinitely small values.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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- EditorialForgotten Books
- Año de publicación2018
- ISBN 10 1330362810
- ISBN 13 9781330362815
- EncuadernaciónTapa blanda
- IdiomaInglés
- Número de páginas290
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Elements of the Differential and Integral Calculus (Classic Reprint)
Impresión bajo demandaLibrería: Forgotten Books, London, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: New. Print on Demand. This book provides an in-depth exploration of the fundamental concepts of differential calculus, a branch of mathematics that deals with rates of change and small variations. The author presents a comprehensive treatment of topics such as functions, rates, differentials, and the processes of differentiation and integration. The book is well-suited for students and professionals looking to gain a solid understanding of the subject matter. The author's approach emphasizes the practical applications of differential calculus in various fields, including mechanics, physics, and geometry. The book's clear explanations and numerous examples help readers grasp the concepts and techniques involved in solving real-world problems. The author also delves into more advanced topics, such as limits, infinitesimals, and the calculation of derivatives and integrals. These sections provide a deeper understanding of the underlying principles of calculus and equip readers with the tools to tackle more complex mathematical problems. Overall, this book is a valuable resource for anyone seeking a thorough grounding in differential calculus. Its clear and comprehensive approach, coupled with its emphasis on practical applications, makes it an indispensable guide for students, professionals, and those interested in exploring the subject further. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Nº de ref. del artículo: 9781330362815_0
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Elements of the Differential and Integral Calculus With Examples and Applications Classic Reprint
Librería: PBShop.store US, Wood Dale, IL, Estados Unidos de America
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330362815
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Elements of the Differential and Integral Calculus With Examples and Applications Classic Reprint
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
Calificación del vendedor: 4 de 5 estrellas
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330362815
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