Originally published 2001

Functions -- Variations in functions; limits -- Gradient -- Rate of change -- Differentiation -- Some rules for differentiation -- Maxima, minima and points of inflexion -- Differentiating the trigonometric functions -- Exponential and logarithmic functions -- Hyperbolic functions -- Integration; standard integrals -- Methods of integration -- Integration of algebraic fractions -- Area and definite integrals -- The integral as a sum; areas ; Approximate integration ; Volumes of revolution ; Lengths of curves ; Taylor's and Maclaurin's series ; Differential equations ; Applications of differential equations

A bestselling introductory course, this book covers all areas of calculus, including functions, gradients, rates of change, differentiation, exponential and logarithmic functions and integration