Calculus Made Easy 2nd Edition
by Silvanus Thompson /
2017 / English / DjVu
3.2 MB Download
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. CONTENTS. Chapter Page Prologue vi I To deliver you from the Preliminary Terrors 1 II On Different Degrees of Smallness 3 III On Relative Growings 9 IV Simplest Cases 17 V Next Stage What to do with Constants 25 VI Sums, Differences, Products and Quotients 34 VII Successive Differentiation 48 VIII When Time Varies 52 IX Introducing a Useful Dodge 66 X Geometrical Meaning of Differentiation 75 XI Maxima and Minima 91 XII Curvature of Curves 109 XIII Other Useful Dodges 118 XIV On true Compound Interest and the Law of Organic Growth 131 vii CALCULUS MADE EASY v Chapter Page XV How to deal with Sines and Cosines 162 XVI Partial Differentiation 172 XVII Integration 180 XVIII Integrating as the Reverse of Differentiating 189 XIX On Finding Areas by Integrating 204 XX Dodges, Pitfalls, and Triumphs 224 XXI Finding some Solutions 232 Table of Standard Forms 249 Answers to Exercises 252 PROLOGUE. Considering how many fools can calculate, it is surprising that it should be thought either a difficult or a tedious task for any other fool to learn how to master the same tricks. Some calculus-tricks are quite easy Some are enormously diffcult. The fools who write the textbooks of advanced mathematics|and they are mostly clever fools|seldom take the trouble to show you how easy the easy calculations are On the contrary, they seem to desire to impress you with their tremendous cleverness by going about it in the most difficult way. Being myself a remarkably stupid fellow, I have had to unteach myself the difficulties, and now beg to present to my fellow fools the parts that are not hard Master these thoroughly, and the rest will follow What one fool can do, another can.
