Preface
This sixth edition of ‘Higher Engineering Mathematics’ covers essential mathematical material suitable
for students studying Degrees, Foundation Degrees,
Higher National Certificate and Diploma courses in
Engineering disciplines.
In this edition the material has been ordered into the
following twelve convenient categories: number and
algebra, geometry and trigonometry, graphs, complex
numbers, matrices and determinants, vector geometry,
differential calculus, integral calculus, differential equations, statistics and probability, Laplace transforms and
Fourier series. New material has been added on logarithms and exponential functions, binary, octal and
hexadecimal, vectors and methods of adding alternating waveforms. Another feature is that a free Internet
download is available of a sample (over 1100) of the
further problems contained in the book.
The primary aim of the material in this text is to
provide the fundamental analytical and underpinning
knowledge and techniques needed to successfully complete scientific and engineering principles modules of
Degree, Foundation Degree and Higher National Engineering programmes. The material has been designed
to enable students to use techniques learned for the
analysis, modelling and solution of realistic engineering
problems at Degree and Higher National level. It also
aims to provide some of the more advanced knowledge
required for those wishing to pursue careers in mechanical engineering, aeronautical engineering, electronics,
communications engineering, systems engineering and
all variants of control engineering.
In Higher Engineering Mathematics 6th Edition, theory is introduced in each chapter by a full outline of
essential definitions, formulae, laws, procedures etc.
The theory is kept to a minimum, for problem solving is
extensively used to establish and exemplify the theory.
It is intended that readers will gain real understanding through seeing problems solved and then through
solving similar problems themselves.
Access to software packages such as Maple, Mathematica and Derive, or a graphics calculator, will enhance
understanding of some of the topics in this text.
Each topic considered in the text is presented in a way
that assumes in the reader only knowledge attained in
BTEC National Certificate/Diploma, or similar, in an
Engineering discipline.
‘Higher Engineering Mathematics 6th Edition’ provides a follow-up to ‘Engineering Mathematics 6th
Edition’.
This textbook contains some 900 worked problems, followed by over 1760 further problems (with
answers), arranged within 238 Exercises. Some 432
line diagrams further enhance understanding.
A sample of worked solutions to over 1100 of the further problems has been prepared and can be accessed
free via the Internet (see next page).
At the end of the text, a list of Essential Formulae is
included for convenience of reference.
At intervals throughout the text are some 19 Revision
Tests (plus two more in the website chapters) to check
understanding. For example, Revision Test 1 covers
the material in Chapters 1 to 4, Revision Test 2 covers the material in Chapters 5 to 7, Revision Test 3
covers the material in Chapters 8 to 10, and so on. An
Instructor’s Manual, containing full solutions to the
Revision Tests, is available free to lecturers adopting
this text (see next page).
Due to restriction of extent, five chapters that appeared
in the fifth edition have been removed from the text
and placed on the website. For chapters on Inequalities, Boolean algebra and logic circuits, Sampling and
estimation theories, Significance testing and Chi-square
and distribution-free tests (see next page).
‘Learning by example’ is at the heart of ‘Higher
Engineering Mathematics 6th Edition’.
JOHN BIRD
Royal Naval School of Marine Engineering,
HMS Sultan,
formerly University of Portsmouth
and Highbury College, Portsmouth
This sixth edition of ‘Higher Engineering Mathematics’ covers essential mathematical material suitable
for students studying Degrees, Foundation Degrees,
Higher National Certificate and Diploma courses in
Engineering disciplines.
In this edition the material has been ordered into the
following twelve convenient categories: number and
algebra, geometry and trigonometry, graphs, complex
numbers, matrices and determinants, vector geometry,
differential calculus, integral calculus, differential equations, statistics and probability, Laplace transforms and
Fourier series. New material has been added on logarithms and exponential functions, binary, octal and
hexadecimal, vectors and methods of adding alternating waveforms. Another feature is that a free Internet
download is available of a sample (over 1100) of the
further problems contained in the book.
The primary aim of the material in this text is to
provide the fundamental analytical and underpinning
knowledge and techniques needed to successfully complete scientific and engineering principles modules of
Degree, Foundation Degree and Higher National Engineering programmes. The material has been designed
to enable students to use techniques learned for the
analysis, modelling and solution of realistic engineering
problems at Degree and Higher National level. It also
aims to provide some of the more advanced knowledge
required for those wishing to pursue careers in mechanical engineering, aeronautical engineering, electronics,
communications engineering, systems engineering and
all variants of control engineering.
In Higher Engineering Mathematics 6th Edition, theory is introduced in each chapter by a full outline of
essential definitions, formulae, laws, procedures etc.
The theory is kept to a minimum, for problem solving is
extensively used to establish and exemplify the theory.
It is intended that readers will gain real understanding through seeing problems solved and then through
solving similar problems themselves.
Access to software packages such as Maple, Mathematica and Derive, or a graphics calculator, will enhance
understanding of some of the topics in this text.
Each topic considered in the text is presented in a way
that assumes in the reader only knowledge attained in
BTEC National Certificate/Diploma, or similar, in an
Engineering discipline.
‘Higher Engineering Mathematics 6th Edition’ provides a follow-up to ‘Engineering Mathematics 6th
Edition’.
This textbook contains some 900 worked problems, followed by over 1760 further problems (with
answers), arranged within 238 Exercises. Some 432
line diagrams further enhance understanding.
A sample of worked solutions to over 1100 of the further problems has been prepared and can be accessed
free via the Internet (see next page).
At the end of the text, a list of Essential Formulae is
included for convenience of reference.
At intervals throughout the text are some 19 Revision
Tests (plus two more in the website chapters) to check
understanding. For example, Revision Test 1 covers
the material in Chapters 1 to 4, Revision Test 2 covers the material in Chapters 5 to 7, Revision Test 3
covers the material in Chapters 8 to 10, and so on. An
Instructor’s Manual, containing full solutions to the
Revision Tests, is available free to lecturers adopting
this text (see next page).
Due to restriction of extent, five chapters that appeared
in the fifth edition have been removed from the text
and placed on the website. For chapters on Inequalities, Boolean algebra and logic circuits, Sampling and
estimation theories, Significance testing and Chi-square
and distribution-free tests (see next page).
‘Learning by example’ is at the heart of ‘Higher
Engineering Mathematics 6th Edition’.
JOHN BIRD
Royal Naval School of Marine Engineering,
HMS Sultan,
formerly University of Portsmouth
and Highbury College, Portsmouth