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Calculus Made Easy
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31 b
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This Book is a very-simple introduction to the beautiful methods of reckoning which are generally called by the terrifying names of the Differential Calculus and The Integral Calculus.
The Contents of the book are as follows .
Prologue
I. To deliver you from the Preliminary Terrors
II. On Different Degrees of Smallness
III. On Relative Growings
V. 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
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