Calculus Made Easy Calculus Made Easy is a book on calculus originally published in 1910 by Silvanus P Thompson, considered a classic and elegant introduction to the subject
Epilogue and Apologue - Calculus Made Easy Any subject can be made repulsive by presenting it bristling with difficulties The aim of this book is to enable beginners to learn its language, to acquire familiarity with its endearing simplicities, and to grasp its powerful methods of solving problems, without being compelled to toil through the intricate out-of-the-way (and mostly
Geometrical Meaning of Differentiation | Calculus Made Easy Now observe how $y$ changes when $x$ is varied If $x$ is made to increase by a small increment $dx$, to the right, it will be observed that $y$ also (in this particular curve) increases by a small increment $dy$ (because this particular curve happens to be an ascending curve) Then the ratio of $dy$ to $dx$ is a measure of the degree to which
How to deal with Sines and Cosines | Calculus Made Easy Sometimes, in mechanical and physical questions, as, for example, in simple harmonic motion and in wave-motions, we have to deal with angles that increase in proportion to the time
Next Stage. What to do with Constants | Calculus Made Easy Let us begin with some simple case of an added constant, thus: Let \begin{align*} y=x^3+5 \end{align*} Just as before, let us suppose $x$ to grow to $x+dx$ and $y$ to grow to $y+dy$
To deliver you from the Preliminary Terrors - Calculus Made Easy To deliver you from the Preliminary Terrors The preliminary terror, which chokes off most fifth-form boys from even attempting to learn how to calculate, can be abolished once for all by simply stating what is the meaning–in common-sense terms–of the two principal symbols that are used in calculating
Partial Differentiation - Calculus Made Easy Exercises XV (1) Differentiate the expression $\dfrac{x^3}{3} - 2x^3y - 2y^2x + \dfrac{y}{3}$ with respect to $x$ alone, and with respect to $y$ alone
On Relative Growings | Calculus Made Easy All through the calculus we are dealing with quantities that are growing, and with rates of growth We classify all quantities into two classes: constants and variables