DIFFERENTIAL CALCULUS AND THE INTEGRAL CALCULUS: F. R. S.

CONTENTS
Prologue
I. To deliver you from the Preliminary Terrors
II. On Different Degrees of Smallness
III. On Relative Growings
IV. Simplest Cases
V. Next Stage. What to do with Constants
VI. Sums, Differences, Products and Quotients
VII. Successive Differentiation
VIII. When Time Varies
IX. Introducing a Useful Dodge
X. Geometrical Meaning of Differentiation
XI. Maxima and Minima
XII. Curvature of Curves
XIII. Other Useful Dodges
XIV. On true Compound Interest and the Law of Organic Growth
XV. How to deal with Sines and Cosines
XVI. Partial Differentiation
XVII. Integration
XVIII. Integrating as the Reverse of Differentiating
XIX. On Finding Areas by Integrating
XX. Dodges, Pitfalls, and Triumphs
XXI. Finding some Solutions
Table of Standard Forms
Answers to Exercises

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