Higher Engineering Mathematics

John Bird's approach, based on numerous worked examples and students. Student's own pace. Basic mathematical theories are explained in a straightforward manner. The HNC / D units.

Now in its sixth edition, Higher Engineering. Mathematics is an achievement exam. It has been updated to maximize the book for the first year of engineering. This book also caters for the engineering of engineering units from Edexcel. As such it includes the core unit, Analytical Methods for Engineers, and other specialist units, Further Analytical Methods for Engineers and Engineering Mathematics, both of which are common to the electrical / electronic engineering and mechanical engineering pathways. For ease of reference a mapping grid is included.

The book is supported by a suite of free web downloads:
. Introductory-level algebra: To enable students to revise the basic algebra needed for engineering courses - available at http://books.elsevier.com/companions/XXXXXXXXX
. Instructor's Manual: Providing algebra assignment - available at http://www.textbooks.elsevier.com (for lecturers only)
. Extensive Solutions Manual: 640 pages with developed solutions for the further problems and exercises in the book - available on http://www.textbooks.elsevier.com (for lecturers only)

. Unique in introducing higher mathematical concepts.
. Fully mapped to BTEC Higher National Engineering and Foundation Degree unit specifications
. Free instructor's manual is available online

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 trigonometers; 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 forms; 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 central tendency and dispersion; probability; The binomial and Poisson distributions; The normal distribution; Linear correlation; Linear regression; Introduction to Laplace transforms; Properties of Laplace transforms; Inverse Laplace transforms; The solution of differential equations using Laplace transforms; The solution of simultaneous differential equations using Laplace transforms; Fourier series for periodic functions of period 2p; Fourier series for a non-periodic function over range 2p; Even and odd functions and half-range Fourier series; Fourier series over any range; A numerical method of harmonic analysis; The complex or exponential form of a Fourier series; Essential forms; index