Fully revised and updated, this title gives a comprehensive coverage of the subject of calculus and is suitable for those studying pure and applied mathematics, engineering and allied sciences. It gives the essential mathematical background to understand and apply the calculus required in these areas. Ideal for beginners, the text provides a carefully graded series of lessons that introduce the basic concepts of differentiation and integration. Each chapter includes many clearly worked examples, diagrams and exercises with full answers. New additions to this edition include sections on linear differential equations with constant co-efficients and applications of differential equations.
Table of Contents
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; areas 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.
Paul Abbott is a maths teacher and author. Hugh Neill lectures in a range of mathematical subjects. Both have written numerous books on a variety of maths topics.