ABSTRACT

A practical introduction to the core mathematics principles required at higher engineering level

John Bird’s approach to mathematics, based on numerous worked examples and interactive problems, is ideal for vocational students that require an advanced textbook.

Theory is kept to a minimum, with the emphasis firmly placed on problem-solving skills, making this a thoroughly practical introduction to the advanced mathematics engineering that students need to master. The extensive and thorough topic coverage makes this an ideal text for upper level vocational courses.

Now in its seventh edition, Engineering Mathematics has helped thousands of students to succeed in their exams. The new edition includes a section at the start of each chapter to explain why the content is important and how it relates to real life. It is also supported by a fully updated companion website with resources for both students and lecturers. It has full solutions to all 1900 further questions contained in the 269 practice exercises.

part |2 pages

Section A Number and algebra

chapter 1|12 pages

Algebra

chapter 2|7 pages

Partial fractions

chapter 3|7 pages

Logarithms

chapter 4|14 pages

Exponential functions

chapter 5|7 pages

Inequalities

chapter 6|8 pages

Arithmetic and geometric progressions

chapter 7|10 pages

The binomial series

chapter 8|11 pages

Maclaurin’s series

chapter 9|11 pages

Solving equations by iterative methods

chapter 10|9 pages

Binary, octal and hexadecimal numbers

chapter 11|20 pages

Boolean algebra and logic circuits

part |2 pages

Section B Geometry and trigonometry

chapter 12|20 pages

Introduction to trigonometry

chapter 13|6 pages

Cartesian and polar co-ordinates

chapter 14|13 pages

The circle and its properties

chapter 15|18 pages

Trigonometric waveforms

chapter 16|10 pages

Hyperbolic functions

chapter 17|8 pages

Trigonometric identities and equations

chapter 19|15 pages

Compound angles

part |2 pages

Section C Graphs

chapter 20|22 pages

Functions and their curves

part |2 pages

Section D Complex numbers

chapter 22|13 pages

Complex numbers

chapter 23|9 pages

De Moivre’s theorem

part |2 pages

Section E Matrices and determinants

chapter 24|10 pages

The theory of matrices and determinants

chapter 25|16 pages

Applications of matrices and determinants

part |2 pages

Section F Vector geometry

chapter 26|14 pages

Vectors

chapter 27|11 pages

Methods of adding alternating waveforms

chapter 28|13 pages

Scalar and vector products

part |2 pages

Section G Differential calculus

chapter 29|12 pages

Methods of differentiation

chapter 30|18 pages

Some applications of differentiation

chapter 31|6 pages

Differentiation of parametric equations

chapter 32|6 pages

Differentiation of implicit functions

chapter 33|7 pages

Logarithmic differentiation

chapter 34|3 pages

Differentiation of hyperbolic functions

chapter 36|6 pages

Partial differentiation

part |2 pages

Section H Integral calculus

chapter 39|7 pages

Standard integration

chapter 40|17 pages

Some applications of integration

chapter 41|6 pages

Integration using algebraic substitutions

chapter 43|5 pages

Integration using partial fractions

chapter 44|6 pages

The t= tan θ substitution

chapter 45|6 pages

Integration by parts

chapter 46|9 pages

Reduction formulae

chapter 47|5 pages

Double and triple integrals

chapter 48|10 pages

Numerical integration

part |2 pages

Section J Statistics and probability

chapter 57|12 pages

Presentation of statistical data

chapter 58|8 pages

Mean, median, mode and standard deviation

chapter 59|10 pages

Probability

chapter 60|7 pages

The binomial and Poisson distributions

chapter 61|8 pages

The normal distribution

chapter 62|5 pages

Linear correlation

chapter 63|7 pages

Linear regression

chapter 64|13 pages

Sampling and estimation theories

chapter 65|17 pages

Significance testing

chapter 66|25 pages

Chi-square and distribution-free tests

part |2 pages

Section K Laplace transforms

part |2 pages

Section L Fourier series