ABSTRACT

John Bird’s approach, based on numerous worked examples and interactive problems, is ideal for students from a wide range of academic backgrounds, and can be worked through at the student’s own pace. Basic mathematical theories are explained in the simplest of terms, supported by practical engineering examples and applications from a wide variety of engineering disciplines, to ensure the reader can relate the theory to actual engineering practice. This extensive and thorough topic coverage makes this an ideal text for a range of university degree modules, Foundation Degrees, and HNC/D units.

An established text which has helped many thousands of students to gain exam success, now in its fifth edition Higher Engineering Mathematics has been further extended with new topics to maximise the book’s applicability for first year engineering degree students, and those following Foundation Degrees. New material includes: inequalities; differentiation of parametric equations; differentiation of hyperbolic functions; and homogeneous first order differential equations.

This book also caters specifically for the engineering mathematics units of the Higher National Engineering schemes from Edexcel, including the core unit Analytical Methods for Engineers, and the two specialist units Further Analytical Methods for Engineers and Engineering Mathematics in their entirety, common to both the electrical/electronic engineering and mechanical engineering pathways. A mapping grid is included showing precisely which topics are required for the learning outcomes of each unit, for ease of reference.

The book is supported by a suite of free web downloads:
* Introductory-level algebra: To enable students to revise basic algebra needed for engineering courses - available at https://books.elsevier.com/companions/9780750681520
* Instructor's Manual: Featuring full worked solutions and mark scheme for all 19 assignments in the book and the remedial algebra assignment - available on https://www.textbooks.elsevier.com for lecturers only
* Extensive Solutions Manual: 640 pages featuring worked solutions for 1,000 of the further problems and exercises in the book - available on https://www.textbooks.elsevier.com for lecturers only

chapter 1|11 pages

Algebra

chapter 2|6 pages

Inequalities

chapter 3|6 pages

Partial fractions

chapter 4|17 pages

Logarithms and exponential functions

chapter 5|9 pages

Hyperbolic functions

chapter |1 pages

Assignment 1

chapter 6|7 pages

Arithmetic and geometric progressions

chapter 7|9 pages

The binomial series

chapter 8|8 pages

Maclaurin’s series

chapter |1 pages

Assignment 2

chapter 9|10 pages

Solving equations by iterative methods

chapter 10|8 pages

Computer numbering systems

chapter 11|20 pages

Boolean algebra and logic circuits

chapter |1 pages

Assignment 3

chapter 12|18 pages

Introduction to trigonometry

chapter 13|4 pages

Cartesian and polar co-ordinates

chapter 14|9 pages

The circle and its properties

chapter |2 pages

Assignment 4

chapter 15|18 pages

Trigonometric waveforms

chapter 16|7 pages

Trigonometric identities and equations

chapter 18|13 pages

Compound angles

chapter |2 pages

Assignment 5

chapter 19|25 pages

Functions and their curves

chapter 22|10 pages

Scalar and vector products

chapter |2 pages

Assignment 6

chapter 23|12 pages

Complex numbers

chapter 24|6 pages

De Moivre’s theorem

chapter 25|10 pages

The theory of matrices and determinants

chapter |1 pages

Assignment 7

chapter 27|11 pages

Methods of differentiation

chapter 28|16 pages

Some applications of differentiation

chapter 29|5 pages

Differentiation of parametric equations

chapter 30|5 pages

Differentiation of implicit functions

chapter 31|5 pages

Logarithmic differentiation

chapter |1 pages

Assignment 8

chapter 32|2 pages

Differentiation of hyperbolic functions

chapter 34|6 pages

Partial differentiation

chapter |2 pages

Assignment 9

chapter 37|7 pages

Standard integration

chapter 38|17 pages

Some applications of integration

chapter 39|5 pages

Integration using algebraic substitutions

chapter |1 pages

Assignment 10

chapter 41|5 pages

Integration using partial fractions

chapter 42|4 pages

The t = tan θ/2 substitution

chapter |1 pages

Assignment 11

chapter 43|6 pages

Integration by parts

chapter 44|9 pages

Reduction formulae

chapter 45|8 pages

Numerical integration

chapter |2 pages

Assignment 12

chapter 48|5 pages

Linear first order differential equations

chapter |1 pages

Assignment 13

chapter |2 pages

Assignment 14

chapter 54|11 pages

Presentation of statistical data

chapter 56|6 pages

Probability

chapter |2 pages

Assignment 15

chapter 57|6 pages

The binomial and Poisson distributions

chapter 58|8 pages

The normal distribution

chapter 59|4 pages

Linear correlation

chapter 60|5 pages

Linear regression

chapter |1 pages

Assignment 16

chapter 61|13 pages

Sampling and estimation theories

chapter 62|17 pages

Significance testing

chapter 63|18 pages

Chi-square and distribution-free tests

chapter |2 pages

Assignment 17

chapter 64|5 pages

Introduction to Laplace transforms

chapter 65|6 pages

Properties of Laplace transforms

chapter 66|7 pages

Inverse Laplace transforms

chapter |2 pages

Assignment 18

chapter 72|7 pages

Fourier series over any range

chapter 73|7 pages

A numerical method of harmonic analysis

chapter |1 pages

Assignment 19

chapter |16 pages

Essential formulae