附註:Previous edition: 2001.
Includes index.
Revision of fractions, decimals and percentages -- Indices and standard form -- Computer numbering systems -- Calculations and evaluation of formulae -- Algebra -- Further algebra -- Partial fractions -- Simple equations -- Simultaneous equations -- Transposition of formulae -- Quadratic equations -- Logarithms -- Exponential functions -- Number sequences -- The binomial series -- Solving equations by iterative methods -- Areas of plane figures -- The circle and its properties -- Volumes and surface areas of common solids -- Irregular areas and volumes and mean values of waveforms -- Introduction to trigonometry -- Trigonometric waveforms -- Cartesian and polar co-ordinates -- Triangles and some practical applications -- Trigonometric identities and equations -- Compound angles -- Straight line graphs -- Reduction of non-linear laws to linear form -- Graphs with logarithmic scales -- Graphical solution of equations -- Functions and their curves -- Vectors -- Combination of waveforms -- Complex numbers -- De Moivre's theorem -- Presentation of statistical data -- Measures of central tendency and dispersion -- Probability -- The binomial and Poisson distribution -- The normal distribution -- Linear correlation -- Linear regression -- Sampling and estimation theories -- Introduction to differentiation -- Methods of differentiation -- Some applications of differentiation -- Standard integration -- Integration using algebraic substitutions -- Integration using trigonometric substitutions -- Integration using partial fractions -- The t = D tan theta/2 substitution -- Integration by parts -- Numerical integration -- Areas under and between curves -- Mean and root mean square values -- Volumes of solids of revolution -- Centroids of simple shapes -- Second moments of area -- Boolean algebra and logic circuits -- The theory of matrices and determinants -- The solution of simultaneous equations by matrices and determinants.
