Bird's engineering mathematics /
John Bird.
- 9th edition.
- xv, 742 pages: illustrations (black and white) ; 28 cm
Previous edition: published as Engineering mathematics. 2017.
Section 1: Number and algebra
Revision of fractions, decimals and percentages
Indices, standard form and engineering notation
Binary, octal and hexadecimal numbers
Calculations and evaluation of formulae
Algebra
Further algebra
Partial fractions
Solving simple equations
Transposition of formulae
Solving simultaneous equations
Solving quadratic equations
Inequalities
Logarithms
Exponential functions
Number sequences
The binomial series. Section 2: Trigonometry
Introduction to trigonometry
Trigonometric waveforms
Cartesian and polar co-ordinates
Triangles and some practical applications
Trigonometric identities and equations
Compound angles. Section 3: Areas and volumes
Areas of common shapes
The circle and its properties
Volumes and surface areas of common solids
Irregular areas and volumes and mean values of waveforms. Section 4: Graphs
Straight line graphs
Reduction of non-linear laws to linear form
Graphs with logarithmic scales
Graphical solution of equations
Functions and their curves. Section 5: Complex numbers
Complex numbers
De Moivre’s theorem. Section 6: Vectors
Vectors
Methods of adding alternating waveforms. Section 7: Differential calculus
Introduction to differentiation
Methods of differentiation
Some applications of differentiation
Solving equations by Newton's methods
Maclaurin’s series
Differentiation of parametric equations
Differentiation of implicit functions
Logarithmic differentiation. Section 8: Integral calculus
Standard integration
Integration using algebraic substitutions
Integration using trigonometric substitutions
Integration using partial fractions
The t = tan θ/2 substitution
Integration by parts
Numerical integration
Areas under and between curves
Mean and root mean square values
Volumes and solids of revolution
Centroids of simple shapes
Second moments of area. Section 9: Differential equations
Introduction to differential equations. Section 10: Further number and algebra
Boolean algebra and logic circuits
The theory of matrices and determinants
The solution of simultaneous equations by matrices and determinants. Section 11: Statistics
Presentation of statistical data
Mean, median, mode and standard deviation
Probability
The binomial and Poisson distribution
The normal distribution
Linear correlation
Linear regression
Sampling and estimation theories
List of essential formulae
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.
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Engineering mathematics. Engineering mathematics--Problems, exercises, etc.