Previous edition: published as Engineering mathematics. 2017.

Section 1: Number and algebra<li>Revision of fractions, decimals and percentages<li>Indices, standard form and engineering notation<li>Binary, octal and hexadecimal numbers<li>Calculations and evaluation of formulae<li>Algebra<li>Further algebra<li>Partial fractions<li>Solving simple equations<li>Transposition of formulae<li>Solving simultaneous equations<li>Solving quadratic equations<li>Inequalities<li>Logarithms<li>Exponential functions<li>Number sequences<li>The binomial series. Section 2: Trigonometry<li>Introduction to trigonometry<li>Trigonometric waveforms<li>Cartesian and polar co-ordinates<li>Triangles and some practical applications<li>Trigonometric identities and equations<li>Compound angles. Section 3: Areas and volumes<li>Areas of common shapes<li>The circle and its properties<li>Volumes and surface areas of common solids<li>Irregular areas and volumes and mean values of waveforms. Section 4: Graphs<li>Straight line graphs<li>Reduction of non-linear laws to linear form<li>Graphs with logarithmic scales<li>Graphical solution of equations<li>Functions and their curves. Section 5: Complex numbers<li>Complex numbers<li>De Moivre’s theorem. Section 6: Vectors<li>Vectors<li>Methods of adding alternating waveforms. Section 7: Differential calculus<li>Introduction to differentiation<li>Methods of differentiation<li>Some applications of differentiation<li>Solving equations by Newton's methods<li>Maclaurin’s series<li>Differentiation of parametric equations<li>Differentiation of implicit functions<li>Logarithmic differentiation. Section 8: Integral calculus<li>Standard integration<li>Integration using algebraic substitutions<li>Integration using trigonometric substitutions<li>Integration using partial fractions<li>The t = tan θ/2 substitution<li>Integration by parts<li>Numerical integration<li>Areas under and between curves<li>Mean and root mean square values<li>Volumes and solids of revolution<li>Centroids of simple shapes<li>Second moments of area. Section 9: Differential equations<li>Introduction to differential equations. Section 10: Further number and algebra<li>Boolean algebra and logic circuits<li>The theory of matrices and determinants<li>The solution of simultaneous equations by matrices and determinants. Section 11: Statistics<li>Presentation of statistical data<li>Mean, median, mode and standard deviation<li>Probability<li>The binomial and Poisson distribution<li>The normal distribution<li>Linear correlation<li>Linear regression<li>Sampling and estimation theories<li>List of essential formulae<li>Answers to Practice Exercises

Now in its ninth edition, Bird’s Engineering Mathematics has helped thousands of students to succeed in their exams. Mathematical theories are explained in a straightforward manner, supported by practical engineering examples and applications to ensure that readers can relate theory to practice. Some 1,300 engineering situations/problems have been ‘flagged-up’ to help demonstrate that engineering cannot be fully understood without a good knowledge of mathematics. The extensive and thorough topic coverage makes this a great text for a range of level 2 and 3 engineering courses – such as for aeronautical, construction, electrical, electronic, mechanical, manufacturing engineering and vehicle technology – including for BTEC First, National and Diploma syllabuses, City & Guilds Technician Certificate and Diploma syllabuses, and even for GCSE and A-level revision.