Abbott P. Teach yourself calculus 1973

Textbook in PDF format

The object of this book is to make it easier for the private student, who is unable to obtain the guidance and help of a teacher, to acquire a working knowledge of calculus. It is assumed that the reader has an understanding of algebra, trigonometry and the fundamental principles of geometry. SI units are used all through the book.
Functions.
Variations in Functions. Limits.
Rate of Change of a Function. Gradients.
Differential Coefficient. Differentiation.
Some Rules for Differentiation.
Maxima and Minima Values. Points of Inflexion.
Differentiation of the Trigonometric Functions.
Exponential and Logarithmic Function.
Hyperbolic Functions.
Integration. Standard Integrals.
Some Elementary Methods of Integration.
Integration of Algebraic Fractions.
Areas by Integral Calculus. Definite Integrals.
Integration as a Summation. Areas.
The Lengths of Curves.
Solids of Revolution. Volumes and Areas of Surfaces.
Uses of Integration in Mechanics.
Partial Differentiation.
Series. Taylor’s and Maclaurin’s Theorems.
Elementary Differential Equations.
Standard and Useful Integrals