Calculus Made Easy

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CALCULUS MADE EASY:

BEING A VERY-SIMPLEST INTRODUCTION TO
THOSE BEAUTIFUL METHODS OF RECKONING
WHICH ARE GENERALLY CALLED BY THE
TERRIFYING NAMES OF THE

DIFFERENTIAL CALCULUS

AND THE

INTEGRAL CALCULUS.

BY

F. R. S.

SECOND EDITION, ENLARGED

MACMILLAN AND CO., LIMITED
ST. MARTIN’S STREET, LONDON
1914

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The Macmillan Company Logo
MACMILLAN AND CO., Limited

LONDON • BOMBAY • CALCUTTA
MELBOURNE

THE MACMILLAN COMPANY

NEW YORK • BOSTON • CHICAGO
DALLAS • SAN FRANCISCO

THE MACMILLAN CO. OF CANADA, Ltd.

TORONTO

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COPYRIGHT.

First Edition 1910.
Reprinted 1911 (twice), 1912, 1913.
Second Edition 1914.

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What one fool can do, another can.(Ancient Simian Proverb.) 

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PREFACE TO THE SECOND EDITION.


The surprising success of this work has led the author to add a considerable number of worked examples and exercises. Advantage has also been taken to enlarge certain parts where experience showed that further explanations would be useful.

The author acknowledges with gratitude many valuable suggestions and letters received from teachers, students, and—critics.

October, 1914.

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CONTENTS.

  1. CHAPTERPAGE
  2. ................................................................................................................................................................................................................................................................................................................................................................................................
    		xi
  3. I.
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		1
  4. II.
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		3
  5. III.
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		9
  6. IV.
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		18
  7. V.
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		26
  8. VI.
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		35
  9. VII.
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		49
  10. VIII.
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		52
  11. IX.
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		67
  12. X.
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		76
  13. XI.
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		93
  14. XII.
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		112
  15. XIII.
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		121
  16. XIV.
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		134
  17. XV.
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		165
  18. XVI.
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		175
  19. XVII.
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		182
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  1. XVIII.
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		191
  2. XIX.
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		206
  3. XX.
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		226
  4. XXI.
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		234
  5. XXII.
    ................................................................................................................................................................................................................................................................................................................................................................................................
    		249
  6. ................................................................................................................................................................................................................................................................................................................................................................................................
    		252
  7. ................................................................................................................................................................................................................................................................................................................................................................................................
    		254

This work was published before January 1, 1930, and is in the public domain worldwide because the author died at least 100 years ago.

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