Silvanus Phillips Thompson

Calculus Made Easy Silvanus Phillips Thompson

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