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Originally published in 1898.This volume from the Cornell University Library's print collections was scanned on an APT BookScan and converted to JPG 2000 format by Kirtas Technologies.All titles scanned cover to cover and pages may include marks notations and other marginalia present in the original volume. ... Read more

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Originally published in 1912.This volume from the Cornell University Library's print collections was scanned on an APT BookScan and converted to JPG 2000 format by Kirtas Technologies.All titles scanned cover to cover and pages may include marks notations and other marginalia present in the original volume. ... Read more

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Originally published in 1912.This volume from the Cornell University Library's print collections was scanned on an APT BookScan and converted to JPG 2000 format by Kirtas Technologies.All titles scanned cover to cover and pages may include marks notations and other marginalia present in the original volume. ... Read more

Product Description
Originally published in 1902.This volume from the Cornell University Library's print collections was scanned on an APT BookScan and converted to JPG 2000 format by Kirtas Technologies.All titles scanned cover to cover and pages may include marks notations and other marginalia present in the original volume. ... Read more

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This book resulted from two reports (published in 1928 and 1932) of the Committee on Rational Transformations, established by the National Research Council. The purpose of the reports was to give a comprehensive survey of the literature on the subject. Each chapter is regarded as a separate unit that can be read independently. ... Read more

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Publisher: New York, Cincinnati, American Book coSubjects: CalculusNotes: This is an OCR reprint. There may be numerous typos or missing text. There are no illustrations or indexes.When you buy the General Books edition of this book you get free trial access to Million-Books.com where you can select from more than a million books for free. You can also preview the book there. ... Read more

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This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone! ... Read more

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This volume is produced from digital images created through the University of Michigan University Library's preservation reformatting program. ... Read more

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DIFFERENTIAL CALCULUS CHAPTER I FUNDAMENTAL PRINCIPLES .1. Elementary definitions. A constant number is one that retains the same value throughout an investigation in which it occurs. A variable number is one that changes from one value to another during an investigation. When the variation of a number can be assigucd at will, the variable is called independent; when the value of one number is determined by that of another, the former is called a dependent variable. The dependent variable is called a function of the independent variable. E.g., 3 x iVx - 1, cos x, are all functions of x. Functions of one variable x will be denoted by the symbols f(x), similarly, if z be a function of two variables x, it will be denoted by such expressions as When a variable approaches a constant in such a way that the difference between the variable and the constant may become and remain smaller than any fixed number, previously assigned, the constant is called the limit of the variable. Ther

Table of Contents

CONTENTS; DIFFERENTIAL CALCULUS; CHAPTER I Fundamental Principles; ARTICLE PAGE; 1 Elementary definitions 1; 2 Infinitesimals and infinites 2; 3 Fundamental theorems concerning infinitesimals and limits in; general 4; 4 Comparison of variables 5; 5 Comparison of infinitesimals and of infinites Orders of mag-; nitude 7; 6 Useful illustrations of infinitesimals of different orders 9; 7 Continuity of functions 13; 8 Comparison of simultaneous infinitesimal increments of two; related variables 15; 9 Definition of a derivative 20; 10 Geometrical illustrations of a derivative 20; 11 The operation of differentiation 24; 12 Increasing and decreasing functions 25; 13 Algebraic test of the intervals of increasing and decreasing 27; 14 Differentiation of a function of a function 28; CHAPTER II Differentiation ov thk Elkmextaky Forms; 15 Differentiation of the product of a constant and a variable 30 1G Differentiation of a sum 31; 1 ... Read more

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This is a reproduction of a book published before 1923.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process.We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide.We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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An unabridged printing, to include all exercises - ... Read more