Higher Engineering Mathematics 8th Edition

Book Preface

This eighth edition of Higher Engineering Mathematics covers essential mathematical material suitable for students studying Degrees, Foundation Degrees, and Higher National Certificate and Diploma courses in Engineering disciplines.

The text has been conveniently divided into the following fourteen convenient categories: number and algebra, geometry and trigonometry, graphs, complex numbers, matrices and determinants, vector geometry, introduction to calculus, further differential calculus, further integral calculus, further differential equations, statistics and probability, Laplace transforms, Fourier series and z-transforms.

Increasingly, difficulty in understanding algebra is proving a problem for many students as they commence studying engineering courses. Inevitably there are a lot of formulae and calculations involved with engineering studies that require a sound grasp of algebra. On the website www.routledge.com/cw/bird/ is a document which offers a quick revision of the main areas of algebra essential for further study, i.e. basic algebra, simple equations, transposition of formulae, simultaneous equations and quadratic equations.

In this new edition, all of the chapters of the previous edition are included, plus one extra, but the order of presenting some of the calculus chapters has been changed. New material has been added on the introduction to numbering systems, Bayes’ theorem in probability, the comparison of numerical methods and z-transforms.

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, electrical and electronic engineering, communications engineering, systems engineering and all variants of control engineering.

In Higher Engineering Mathematics 8th Edition, theory is introduced in each chapter by a full outline of essential definitions, formulae, laws, procedures, etc; 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 8th Edition provides a follow-up to Engineering Mathematics 8th Edition.

This textbook contains over 1050 worked problems, followed by nearly 2000 further problems (with answers), arranged within 277 Practice Exercises. Some 552 line diagrams further enhance understanding. Worked solutions to all 2000 of the further problems have been prepared and can be accessed free by students and staff via the website www.routledge.com/cw/bird/

At the end of the text, a list of Essential Formulae is included for convenience of reference. At intervals throughout the text are some 21 Revision Tests to check understanding. For example, Revision Test 1 covers the material in chapters 1 to 5, Revision Test 2 covers the material in chapters 6 to 8, Revision Test 3 covers the material in chapters 9 to 11, and so on. An Instructor’s Manual, containing full solutions to the Revision Tests, is available free to lecturers/instructors via the website (see below).