Calculus Made Easy

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Calculus Made Easy  (1914) 
by Silvanus Phillips Thompson


one or more chapters are available in a spoken word format.


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 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.
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    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, 1928, and is in the public domain worldwide because the author died at least 100 years ago.