This antiquarian volume contains a concise exposition of elementary calculus, being a very simple introduction to differential and integral calculus. In writing this text the author has aimed to furnish in the most practical and understandable manner, the fundamentals of calculus, specially designed for those with an interest in the topic but with limited previous knowledge and an understandable reticence about beginning their calculus adventure. Written in clear, simple language and full of useful information and clear explanations, this text is ideal for the student and anyone with a desire to advance their mathematical knowledge. The chapters of this volume include: 'To Deliver You From the Preliminary Terrors', 'On Different Degrees of Smallness', 'On Relative Growings', 'Simplest Cases', 'What to do with Constants', 'Successive Differentiation', 'When Time Varies', 'Introducing a Useful Dodge', 'Geometrical Meaning of Differentiation', et cetera. We are republishing this vintage work now complete with a specially commissioned new biography of the author.