*HIGHER ENGINEERING MATHEMATICS*

**Author**: John Bird

**Publisher:** Bukupedia

**ISBN:** N.A

**Category:** Mathematics

**Page:** 745

**View:** 416

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This fifth 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 re-ordered into the following twelve convenient categories: number and algebra, geometry and trigonometry, graphs, vector geometry, complex numbers, matrices and determinants, differential calculus, integral calculus, differential equations, statistics and probability, Laplace transforms and Fourier series. New material has been added on inequalities, differentiation of parametric equations, the t =tan θ/2 substitution and homogeneous first order differential equations. Another new feature is that a free Internet download is available to lecturers of a sample of solutions (over 1000) 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 5th 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 the knowledge attained in BTEC National Certificate/Diploma in an Engineering discipline and Advanced GNVQ in Engineering/Manufacture. ‘Higher Engineering Mathematics’ provides a follow-up to ‘Engineering Mathematics’. This textbook contains some 1000 worked problems, followed by over 1750 further problems (with answers), arranged within 250 Exercises. Some 460 line diagrams further enhance understanding. A sample of worked solutions to over 1000 of the further problems has been prepared and can be accessed by lecturers free via the Internet (see below). 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 Assignments to check understanding. For example, Assignment 1 covers the material in chapters 1 to 5, Assignment 2 covers the material in chapters 6 to 8, Assignment 3 covers the material in chapters 9 to 11, and so on. An Instructor’s Manual, containing full solutions to the Assignments, is available free to lecturers adopting this text (see below). ‘Learning by example’is at the heart of ‘Higher Engineering Mathematics 5th Edition’. JOHN BIRD Royal Naval School of Marine Engineering, HMS Sultan, formerly University of Portsmouth and Highbury College, Portsmouth Free web downloads Extra material available on the Internet It is recognised that the level of understanding of algebra on entry to higher courses is often inadequate. Since algebra provides the basis of so much of higher engineering studies, it is a situation that often needs urgent attention. Lack of space has prevented the inclusion of more basic algebra topics in this textbook; xvi PREFACE it is for this reason that some algebra topics – solution of simple, simultaneous and quadratic equations and transposition of formulae have been made available to all via the Internet. Also included is a Remedial Algebra Assignment to test understanding. To access the Algebra material visit: http:// books.elsevier.com/companions/0750681527 Sample ofWorked Solutions to Exercises Within the text are some 1750 further problems arranged within 250 Exercises. A sample of over 1000 worked solutions has been prepared and is available for lecturers only at http://www. textbooks.elsevier.com Instructor’s manual This provides full worked solutions and mark scheme for all 19 Assignments in this book, together with solutions to the Remedial Algebra Assignment mentioned above. The material is available to lecturers only and is available at http://www.textbooks.elsevier.com To access the lecturer material on the textbook website please go to http://www.textbooks. elsevier.com and search for the book and click on the ‘manual’ link. If you do not have an account on textbooks.elsevier.com already, you will need to register and request access to the book’s subject area. If you already have an account on textbooks, but do not have access to the right subject area, please follow the ‘request access’ link at the top of the subject area homepage.