Elements of the Differential and Integral Calculus: Revised Edition (Classic Reprint) - Softcover

Granville, William Anthony

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9781440046568: Elements of the Differential and Integral Calculus: Revised Edition (Classic Reprint)

Softcover

ISBN 10: 1440046565 ISBN 13: 9781440046568

Publisher: Forgotten Books, 2010

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That teachers and students of the Calculus have shown such a gencrous
appreciation of Granville's "Elements of the Differential and
Integral Calculus" has been very gratifying to the author. In the last
few years considerable progress has been made in the teaching of the
elements of the Calculus, and in this revised edition of Granvi11e's
" Calculus" the latest amI best methods are exhibited, - methods that
have stood the test of actual classroom work. Those featmes of the
first edition which contributed so mud) to its usefulness and popularity
have been retained. The introductory matter has been cut down
somewhat in order to get down to the real business of the Calculus
sooner. As this is designed essentia11y for a drill book, the pedagogic
principle that each result should be made i~tuitiol1ally as well as
analytically evident to tIle student has been kept constantly in mind.
The object is not to teach the student to rely on his jntuition, but, in
some cases, to u

Table of Contents

CHAPTER I; COLLECTION OF FORMULAS; L Formulas from Algehra, Tl'igonometry, and Analytic C;(~omdry; 2 (;reek alphabet a; a Rules for signs in the four quadrants :3; 4 Natural vailles of the trigonometric fnnctions 4; 5 Tahles of logarithms ;); OHArTER II; VAlUABLES AN}) J<'U;I;C'1'IONS; 6 Variables and cOllstants Ii; 7 Interval of a variable (J; 8 Continuous variation G; 9 Fl111ctions 7; 10 Independent and dependfmt variables 7; 11 Kotation uf functions 8; 12 Values of the independent varia hie for vvhich a ftlllction is defined 8; CHAl'TEl~ TTl; THRORY OF LDllT!':; 1:3 Limit of a variable 11; H Divil!ion by zero excluded 12; 1il Infinitesimal!! l~; 16 The concept of infinity (cD) 1:3; 17 Limiting value of