Higher Engineering Mathematics

Author: John Bird

Publisher: Routledge

ISBN: 185617767X

Category: Technology & Engineering

Page: 679

View: 6152

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Now in its sixth edition, Higher Engineering Mathematics is an established textbook that has helped many thousands of students to gain exam success. John Bird's approach is ideal for students from a wide range of academic backgrounds, and can be worked through at the student's own pace. Mathematical theories are examined in the simplest of terms, supported by practical examples and applications from a wide variety of engineering disciplines, to ensure that the reader can apply theory to practice. This extensive and thorough topic coverage makes this an ideal book for a range of university degree modules, foundation degrees, and HNC/D units. This new edition of Higher Engineering Mathematics has been further extended with topics specifically written to help first year engineering degree students and those following foundation degrees. New material has been added on logarithms and exponential functions, binary, octal and hexadecimal numbers, vectors and methods of adding alternating waveforms. This book caters specifically for the engineering mathematics units of the Higher National Engineering schemes from Edexcel, including the core unit Analytical methods for Engineers, and two optional units: Further Analytical Methods for Engineers and Engineering Mathematics, 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. Higher Engineering Mathematics contains examples, supported by 900 worked problems and 1760 further problems contained within exercises throughout the text. In addition, 19 revision tests, which are available to use as tests or as homework are included at regular intervals.
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Higher Engineering Mathematics, 7th ed

Author: John Bird

Publisher: Routledge

ISBN: 1317937864

Category: Juvenile Nonfiction

Page: 896

View: 976

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A practical introduction to the core mathematics principles required at higher engineering level John Bird’s approach to mathematics, based on numerous worked examples and interactive problems, is ideal for vocational students that require an advanced textbook. Theory is kept to a minimum, with the emphasis firmly placed on problem-solving skills, making this a thoroughly practical introduction to the advanced mathematics engineering that students need to master. The extensive and thorough topic coverage makes this an ideal text for upper level vocational courses. Now in its seventh edition, Engineering Mathematics has helped thousands of students to succeed in their exams. The new edition includes a section at the start of each chapter to explain why the content is important and how it relates to real life. It is also supported by a fully updated companion website with resources for both students and lecturers. It has full solutions to all 1900 further questions contained in the 269 practice exercises.
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HIGHER ENGINEERING MATHEMATICS, 5th Edtion, Elsevier, 2006

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.
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Higher Engineering Mathematics

Author: J. O. Bird

Publisher: Butterworth-Heinemann

ISBN: 9780750641104

Category: Mathematics

Page: 644

View: 8719

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Includes over 800 worked examples and 1,500 problems. John Bird's approach, based on numerous worked examples supported by problems, is ideal for students from a wide range of academic backgrounds, and can be worked though at the student's own pace. This has been proved by the thousands of students guided to exam success by previous editions of this book and the highly popular companion title Engineering Mathematics. A wide and thorough topic coverage makes this an ideal text for a wide range of degree modules and institution-devised HNC/D units. However, it has been written to match specifically the final specifications of the set units from Edexcel for the new Higher National scheme: Analytical Methods for Engineers (core unit: 21717P); Further Analytical Methods for Engineers (21775P); Engineering Mathematics (21766P). It is also suitable for the 'phase 1' Higher National units (9500M, 9529M). ADOPTING LECTURERS Lecturers adopting 'Higher Engineering Mathematics' as their main course text can obtain a free 150 page Instructors Manual comprising worked solutions and a mark scheme for the Assignments in the student text. Please e-mail [email protected] with full name, job title, adopting institution, student numbers and full work mailing details. Pack will be despatched within 24 hours of request. The only book written specifically for the new HNC/D syllabus. Ideal for a wide range of abilites Free Instructors' Manual, available upon request, includes full worked solutions to the 17 Assignments
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Higher Engineering Mathematics, Elsevier, 2006

Higher Engineering Mathematics

Author: John Bird

Publisher: Bukupedia

ISBN: N.A

Category: Mathematics

Page: 640

View: 7570

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In ‘Higher Engineering Mathematics 5th Edition’ are some 1750 further problems arranged regularly throughout the text within 250 Exercises. A sample of solutions for over 1000 of these further problems has been prepared in this document. The reader should be able to cope with the remainder by referring to similar worked problems contained in the text. CONTENTS Page Chapter 1 Algebra 1 Chapter 2 Inequalities 13 Chapter 3 Partial fractions 19 Chapter 4 Logarithms and exponential functions 25 Chapter 5 Hyperbolic functions 41 Chapter 6 Arithmetic and geometric progressions 48 Chapter 7 The binomial series 55 Chapter 8 Maclaurin’s series 65 Chapter 9 Solving equations by iterative methods 71 Chapter 10 Computer numbering systems 85 Chapter 11 Boolean algebra and logic circuits 94 Chapter 12 Introduction to trigonometry 110 Chapter 13 Cartesian and polar co-ordinates 131 Chapter 14 The circle and its properties 135 Chapter 15 Trigonometric waveforms 144 Chapter 16 Trigonometric identities and equations 155 Chapter 17 The relationship between trigonometric and hyperbolic functions 163 Chapter 18 Compound angles 168 Chapter 19 Functions and their curves 181 Chapter 20 Irregular areas, volumes and mean values of waveforms 197 © 2006 John Bird. All rights reserved. Published by Elsevier. iii Chapter 21 Vectors, phasors and the combination of waveforms 202 Chapter 22 Scalar and vector products 212 Chapter 23 Complex numbers 219 Chapter 24 De Moivre’s theorem 232 Chapter 25 The theory of matrices and determinants 238 Chapter 26 The solution of simultaneous equations by matrices and determinants 246 Chapter 27 Methods of differentiation 257 Chapter 28 Some applications of differentiation 266 Chapter 29 Differentiation of parametric equations 281 Chapter 30 Differentiation of implicit functions 287 Chapter 31 Logarithmic differentiation 291 Chapter 32 Differentiation of hyperbolic functions 295 Chapter 33 Differentiation of inverse trigonometric and hyperbolic functions 297 Chapter 34 Partial differentiation 306 Chapter 35 Total differential, rates of change and small changes 312 Chapter 36 Maxima, minima and saddle points for functions of two variables 319 Chapter 37 Standard integration 327 Chapter 38 Some applications of integration 332 Chapter 39 Integration using algebraic substitutions 350 Chapter 40 Integration using trigonometric and hyperbolic substitutions 356 Chapter 41 Integration using partial fractions 365 Chapter 42 The t = tan θ/2 substitution 372 Chapter 43 Integration by parts 376 Chapter 44 Reduction formulae 384 Chapter 45 Numerical integration 390 Chapter 46 Solution of first order differential equations by separation of variables 398 Chapter 47 Homogeneous first order differential equations 410 Chapter 48 Linear first order differential equations 417 Chapter 49 Numerical methods for first order differential equations 424 Chapter 50 Second order differential equations of the form 2 2 a d y b dy cy 0 dx dx + + = 435 Chapter 51 Second order differential equations of the form 2 2 a d y b dy cy f (x) dx dx + + = 441 Chapter 52 Power series methods of solving ordinary differential equations 458 © 2006 John Bird. All rights reserved. Published by Elsevier. iv Chapter 53 An introduction to partial differential equations 474 Chapter 54 Presentation of statistical data 489 Chapter 55 Measures of central tendency and dispersion 497 Chapter 56 Probability 504 Chapter 57 The binomial and Poisson distributions 508 Chapter 58 The normal distribution 513 Chapter 59 Linear correlation 523 Chapter 60 Linear regression 527 Chapter 61 Sampling and estimation theories 533 Chapter 62 Significance testing 543 Chapter 63 Chi-square and distribution-free tests 553 Chapter 64 Introduction to Laplace transforms 566 Chapter 65 Properties of Laplace transforms 569 Chapter 66 Inverse Laplace transforms 575 Chapter 67 The solution of differential equations using Laplace transforms 582 Chapter 68 The solution of simultaneous differential equations using Laplace transforms 590 Chapter 69 Fourier series for periodic functions of period 2π 595 Chapter 70 Fourier series for a non-periodic functions over period 2π 601 Chapter 71 Even and odd functions and half-range Fourier series 608 Chapter 72 Fourier series over any range 616 Chapter 73 A numerical method of harmonic analysis 623 Chapter 74 The complex or exponential form of a Fourier series 627 © 2006 John Bird. All rights reserved. Published by Elsevie
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