Calculus Made EasyCalculus Made Easy by Silvanus P. Thompson and Martin Gardner has long been the most popular calculus primer. |
Contents
Preface to the 1998 Edition | 1 |
Preliminary Chapters by Martin Gardner 1 What Is a Function? | 10 |
What Is a Limit? | 18 |
What Is a Derivative? | 30 |
Calculus Made Easy by Silvanus P Thompson Publishers Note on the Third Edition | 36 |
Prologue | 38 |
To Deliver You from the Preliminary Terrors | 39 |
On Different Degrees of Smallness | 41 |
Geometrical Meaning of Differentiation | 103 |
Maxima and Minima | 116 |
Curvature of Curves | 132 |
Partial Fractions and Inverse Functions | 139 |
On True Compound Interest and the Law of Organic Growth | 150 |
How to Deal with Sines and Cosines | 175 |
Partial Differentiation | 184 |
Integration | 191 |
On Relative Growings | 45 |
Simplest Cases | 51 |
Next Stage What to Do with Constants | 59 |
Sums Differences Products and Quotients | 66 |
Successive Differentiation | 79 |
When Time Varies | 83 |
Introducing a Useful Dodge | 94 |
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Common terms and phrases
angle antiderivative axis becomes Calculus Made Easy called Cavalieri's principle center of curvature Chapter circle constant converge cork plug cosh cube curve cylinders d²y differentiating distance dx dx dx dy dx dx)² dx² dy dx dy dy equal equating to zero example Exercises expression Find the area Find the length Find the radius fluxions function given gives graph grow height hence inches independent variable infinite series infinitesimals integral inverse function limit logarithms Martin Gardner Mathematical mathematicians maxima and minima maximum or minimum mean value theorem multiply negative ordinate original partial fractions problem Puzzles quadratic mean ratio real numbers result Sam Loyd side simple sinh slope small quantities solution solving square square's straight line Suppose tangent theorem Thompson tion triangle velocity volume write x₁ y₁