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

Macmillan header ornament.svg
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

COPYRIGHT.

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

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

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.

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
  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, 1927, and is in the public domain worldwide because the author died at least 100 years ago.

 
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