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Calculus Made Easy / Being a very-simplest introduction to those beautiful methods which are generally called by the terrifying names of the Differential Calculus and the Integral Calculus — Silvanus P. Thompson

Calculus Made Easy / Being a very-simplest introduction to those beautiful methods which are generally called by the terrifying names of the Differential Calculus and the Integral Calculus

Silvanus P. Thompson

  • Essays
  • Book language: English
  • 290 pages

Calculus Made Easy is a short, friendly introduction to differential and integral calculus, written in plain language and essay-like chapters. It explains the basic ideas and methods for readers who find the usual notation intimidating, and it remains worth your time for its clear, encouraging approach to learning mathematics.

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Cover of the original edition (Project Gutenberg, public domain).

Text source: gutenberg.org · The work is in the public domain.

Opening of the book

CALCULUS MADE EASY
Author: Silvanus Thompson
CALCULUS MADE EASY
decorative
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

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
ВУ
F. R. S.
SECOND EDITION, ENLARGED
MACMILLAN AND CO., LIMITED
ST. MARTIN'S STREET, LONDON
1914

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.

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Contents

  1. CALCULUS MADE EASY
  2. CALCULUS MADE EASY:
  3. CONTENTS
  4. PROLOGUE
  5. CHAPTER I. TO DELIVER YOU FROM THE PRELIMINARY TERRORS.
  6. CHAPTER II. ON DIFFERENT DEGREES OF SMALLNESS.
  7. CHAPTER III. ON RELATIVE GROWINGS.
  8. NOTE TO CHAPTER III. How to read Differentials.
  9. CHAPTER IV. SIMPLEST CASES.
  10. CHAPTER V. NEXT STAGE. WHAT TO DO WITH CONSTANTS.
  11. CHAPTER VI. SUMS, DIFFERENCES, PRODUCTS AND QUOTIENTS.
  12. CHAPTER VII. SUCCESSIVE DIFFERENTIATION.
  13. CHAPTER VIII. WHEN TIME VARIES.
  14. CHAPTER IX. INTRODUCING A USEFUL DODGE.
  15. CHAPTER X. GEOMETRICAL MEANING OF DIFFERENTIATION.
  16. CHAPTER XI. MAXIMA AND MINIMA.
  17. CHAPTER XII. Curvature of curves.
  18. CHAPTER XIII. OTHER USEFUL DODGES.
  19. CHAPTER XIV. ON TRUE COMPOUND INTEREST AND THE LAW OF ORGANIC GROWTH.
  20. CHAPTER XV. HOW TO DEAL WITH SINES AND COSINES.
  21. CHAPTER XVI. PARTIAL DIFFERENTIATION.
  22. CHAPTER XVII. INTEGRATION.
  23. CHAPTER XVIII. INTEGRATING AS THE REVERSE OF DIFFERENTIATING.
  24. CHAPTER XIX. ON FINDING AREAS BY INTEGRATING.
  25. CHAPTER XX. DODGES, PITFALLS, AND TRIUMPHS.
  26. CHAPTER XXI. FINDING SOME SOLUTIONS.
  27. EPILOGUE AND APOLOGUE.
  28. TABLE OF STANDARD FORMS.
  29. ANSWERS.
  30. A SELECTION OF MATHEMATICAL WORKS

and 1 more chapters

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