Higher Engineering Mathematics

Preface; Algebra; Partial fractions; Logarithms; Exponential functions; Hyperbolic functions; Arithmetic and geometric progressions; The binomial series; Maclaurin's series; Solving equations by iterative methods; Binary; octal and hexadecimal; Introduction to trigonometry; Cartesian and polar co-ordinates; The circle and its properties; Trigonometric waveforms; Trigonometric identities and equations; The relationship between trigonometric and hyperbolic functions; Compound angles; Functions and their curves; Irregular areas; volumes and mean values of waveforms; Complex numbers; De Moivre's theorem; The theory of matrices and determinants; The solution of simultaneous equations by matrices and determinants; Vectors; Methods of adding alternating waveforms; Scalar and vector products; Methods of differentiation; Some applications of differentiation; Differentiation of parametric equations; Differentiation of implicit functions; Logarithmic differentiation; Differentiation of hyperbolic functions; Differentiation of inverse trigonometric and hyperbolic functions; Partial differentiation; Total differential; rates of change and small changes; Maxima; minima and saddle points for functions of two variables; Standard integration; Some applications of integration; Integration using algebraic substitutions; Integration using trigonometric and hyperbolic substitutions; Integration using partial fractions; The t = __substitution; Integration by parts; Reduction formulae; Numerical integration; Solution of first order differential equations by separation of variables; Homogeneous first order differential equations; Linear first order differential equations; Numerical methods for first order differential equations; Second order differential equations of the form __; Second order differential equations of the form __; Power series methods of solving ordinary differential equations; An introduction to partial differential equations; Presentation of statistical data; Measures of