Glyn James – Advanced Modern Engineering Mathematics (4th edition)

Автор: Glyn James
Название книги: Advanced Modern Engineering Mathematics (4th edition)
Формат: PDF
Жанр: Математика
Страницы: 1065
Качество: Изначально компьютерное, E-book

Throughout the course of history, engineering and mathematics have developed in
parallel. All branches of engineering depend on mathematics for their description and
there has been a steady flow of ideas and problems from engineering that has stimulated
and sometimes initiated branches of mathematics. Thus it is vital that engineering students
receive a thorough grounding in mathematics, with the treatment related to their
interests and problems. As with the previous editions, this has been the motivation for
the production of this fourth edition – a companion text to the fourth edition of Modern
Engineering Mathematics, this being designed to provide a first-level core studies
course in mathematics for undergraduate programmes in all engineering disciplines.
Building on the foundations laid in the companion text, this book gives an extensive
treatment of some of the more advanced areas of mathematics that have applications in
various fields of engineering, particularly as tools for computer-based system modelling,
analysis and design. Feedback, from users of the previous editions, on subject
content has been highly positive indicating that it is sufficiently broad to provide the
necessary second-level, or optional, studies for most engineering programmes, where
in each case a selection of the material may be made. Whilst designed primarily for use
by engineering students, it is believed that the book is also suitable for use by students
of applied mathematics and the physical sciences.
Although the pace of the book is at a somewhat more advanced level than the companion
text, the philosophy of learning by doing is retained with continuing emphasis
on the development of students’ ability to use mathematics with understanding to solve
engineering problems. Recognizing the increasing importance of mathematical modelling
in engineering practice, many of the worked examples and exercises incorporate
mathematical models that are designed both to provide relevance and to reinforce the
role of mathematics in various branches of engineering. In addition, each chapter contains
specific sections on engineering applications, and these form an ideal framework
for individual, or group, study assignments, thereby helping to reinforce the skills of
mathematical modelling, which are seen as essential if engineers are to tackle the
increasingly complex systems they are being called upon to analyse and design. The
importance of numerical methods in problem solving is also recognized, and its treatment
is integrated with the analytical work throughout the book.
Much of the feedback from users relates to the role and use of software packages,
particularly symbolic algebra packages. Without making it an essential requirement the
authors have attempted to highlight throughout the text situations where the user could
make effective use of software. This also applies to exercises and, indeed, a limited
number have been introduced for which the use of such a package is essential. Whilst
any appropriate piece of software can be used, the authors recommend the use of
MATLAB and/or MAPLE. In this new edition more copious reference to the use of these
two packages is made throughout the text, with commands or codes introduced and
illustrated. When indicated, students are strongly recommended to use these packages
to check their solutions to exercises. This is not only to help develop proficiency in their
use, but also to enable students to appreciate the necessity of having a sound knowledge
of the underpinning mathematics if such packages are to be used effectively. Throughout
the book two icons are used:
• An open screen indicates that the use of a software package would be useful
(e.g. for checking solutions) but not essential.
• A closed screen indicates that the use of a software package is essential or
highly desirable.
As indicated earlier, feedback on content from users of previous editions has been
favourable, and consequently no new chapter has been introduced. However, in
response to feedback the order of presentation of chapters has been changed, with a
view to making it more logical and appealing to users. This re-ordering has necessitated
some redistribution of material both within and across some of the chapters. Another
new feature is the introduction of the use of colour. It is hoped that this will make the text
more accessible and student-friendly. Also, in response to feedback individual chapters
have been reviewed and updated accordingly. The most significant changes are:
• Chapter 1 Matrix Analysis: Inclusion of new sections on ‘Singular value decomposition’
and ‘Lyapunov stability analysis’.
• Chapter 5 Laplace transform: Following re-ordering of chapters a more unified
and extended treatment of transfer functions/transfer matrices for continuoustime
state-space models has been included.
• Chapter 6 Z-transforms: Inclusion of a new section on ‘Discretization of
continuous-time state-space models’.
• Chapter 8 Fourier transform: Inclusion of a new section on ‘Direct design of
digital filters and windows’.
• Chapter 9 Partial differential equations: The treatment of first order equations
has been extended and a new section on ‘Integral solution’ included.
• Chapter 10 Optimization: Inclusion of a new section on ‘Least squares’.
A comprehensive Solutions Manual is available free of charge to lecturers adopting this
textbook. It will also be available for download via the Web at: www.pearsoned.co.ck/james.
Acknowledgements
The authoring team is extremely grateful to all the reviewers and users of the text who
have provided valuable comments on previous editions of this book. Most of this has
been highly constructive and very much appreciated. The team has continued to enjoy
the full support of a very enthusiastic production team at Pearson Education and wishes
to thank all those concerned. Finally I would like to thank my wife, Dolan, for her full
support throughout the preparation of this text and its previous editions.
Glyn James