Bird J. Engineering Mathematics

N.-Y.: Routledge, 2014. — 704 p. — ISBN13: 978-1-315-85883-8 (ebk)A practical introduction to the core mathematics required for engineering study and practice
Now in its seventh edition, Engineering Mathematics is an established textbook that has helped thousands of students to succeed in their exams.
John Bird's approach is based on worked examples and interactive problems. This makes it ideal for students from a wide range of academic backgrounds as the student can work through the material at their own pace. Mathematical theories are explained in a straightforward manner, being supported by practical engineering examples and applications in order to ensure that readers can relate theory to practice. The extensive and thorough topic coverage makes this an ideal text for a range of Level 2 and 3 engineering courses.
This title is supported by a companion website with resources for both students and lecturers, including lists of essential formulae, multiple choice tests, full solutions for all 1,800 further questions contained within the practice exercises, and biographical information on the 24 famous mathematicians and engineers referenced throughout the book.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
Revision Test 1
Algebra
Further algebra
Partial fractions
Solving simple equations
Revision Test 2
Solving simultaneous equations
Transposition of formulae
Solving quadratic equations
Inequalities
Logarithms
Revision Test 3
Exponential functions
Number sequences
The binomial series
Solving equations by iterative methods
Revision Test 4
Multiple choice questions on Chapters 1–17
Areas and volumes
Areas of common shapes
The circle
Volumes and surface areas of common solids
Irregular areas and volumes and mean values of waveforms
Revision Test 5
Trigonometry
Introduction to trigonometry
Trigonometric waveforms
Cartesian and polar co-ordinates
Revision Test 6
Triangles and some practical applications
Trigonometric identities and equations
Compound angles
Revision Test 7
Multiple choice questions on Chapters 18–27
Graphs
Straight line graphs
Reduction of non-linear laws to linear form
Graphs with logarithmic scales
Graphical solution of equations
Functions and their curves
Revision Test 8
Complex numbers
Complex numbers
De Moivre’s theorem
Vectors
Vectors
Methods of adding alternating waveforms
Revision Test 9
Statistics
Presentation of statistical data
Mean, median, mode and standard deviation
Probability
Revision Test 10
The binomial and Poisson distribution
The normal distribution
Revision Test 11
Linear correlation
Linear regression
Sampling and estimation theories
Revision Test 12
Multiple choice questions on Chapters 28–44
Differential calculus
Introduction to differentiation
Methods of differentiation
Some applications of differentiation
Revision Test 13
Differentiation of parametric equations
Differentiation of implicit functions
Logarithmic differentiation
Revision Test 14
Integral calculus
Standard integration
Integration using algebraic substitutions
Integration using trigonometric substitutions
Revision Test 15
Integration using partial fractions
The t = tan θ/2 substitution
Integration by parts
Numerical integration
Revision Test 16
Areas under and between curves
Mean and root mean square values
Volumes of solids of revolution
Centroids of simple shapes
Second moments of area
Revision Test 17
Further number and algebra
Boolean algebra and logic circuits
The theory of matrices and determinants
The solution of simultaneous equations by matrices and determinants
Revision Test 18
Differential equations
Introduction to differential equations
Revision Test 19
Multiple choice questions on Chapters 45–66
List of Essential formulae
Answers to Practice Exercises
Answers to multiple choice questions
Index