9th Edition

Bird's Engineering Mathematics

By John Bird Copyright 2021
    758 Pages 544 B/W Illustrations
    by Routledge

    758 Pages 544 B/W Illustrations
    by Routledge

    Now in its ninth edition, Bird’s Engineering Mathematics has helped thousands of students to succeed in their exams. Mathematical theories are explained in a straightforward manner, supported by practical engineering examples and applications to ensure that readers can relate theory to practice. Some 1,300 engineering situations/problems have been ‘flagged-up’ to help demonstrate that engineering cannot be fully understood without a good knowledge of mathematics.

    The extensive and thorough topic coverage makes this a great text for a range of level 2 and 3 engineering courses – such as for aeronautical, construction, electrical, electronic, mechanical, manufacturing engineering and vehicle technology – including for BTEC First, National and Diploma syllabuses, City & Guilds Technician Certificate and Diploma syllabuses, and even for GCSE and A-level revision.

    Its companion website at www.routledge.com/cw/bird provides resources for both students and lecturers, including full solutions for all 2,000 further questions, lists of essential formulae, multiple-choice tests, and illustrations, as well as full solutions to revision tests for course instructors.

    Section 1: Number and algebra

    1. Revision of fractions, decimals and percentages

    2. Indices, standard form and engineering notation

    3. Binary, octal and hexadecimal numbers

    4. Calculations and evaluation of formulae

    5. Algebra

    6. Further algebra

    7. Partial fractions

    8. Solving simple equations

    9. Transposition of formulae

    10. Solving simultaneous equations

    11. Solving quadratic equations

    12. Inequalities

    13. Logarithms

    14. Exponential functions

    15. Number sequences

    16. The binomial series

    Section 2: Trigonometry

    17. Introduction to trigonometry

    18. Trigonometric waveforms

    19. Cartesian and polar co-ordinates

    20. Triangles and some practical applications

    21. Trigonometric identities and equations

    22. Compound angles

    Section 3: Areas and volumes

    23. Areas of common shapes

    24. The circle and its properties

    25. Volumes and surface areas of common solids

    26. Irregular areas and volumes and mean values of waveforms

    Section 4: Graphs

    27. Straight line graphs

    28. Reduction of non-linear laws to linear form

    29. Graphs with logarithmic scales

    30. Graphical solution of equations

    31. Functions and their curves

    Section 5: Complex numbers

    32. Complex numbers

    33. De Moivre’s theorem

    Section 6: Vectors

    34. Vectors

    35. Methods of adding alternating waveforms

    Section 7: Differential calculus

    36. Introduction to differentiation

    37. Methods of differentiation

    38. Some applications of differentiation

    39. Solving equations by Newton's methods

    40. Maclaurin’s series

    41. Differentiation of parametric equations

    42. Differentiation of implicit functions

    43. Logarithmic differentiation

    Section 8: Integral calculus

    44. Standard integration

    45. Integration using algebraic substitutions

    46. Integration using trigonometric substitutions

    47. Integration using partial fractions

    48. The t = tan θ/2 substitution

    49. Integration by parts

    50. Numerical integration

    51. Areas under and between curves

    52. Mean and root mean square values

    53. Volumes and solids of revolution

    54. Centroids of simple shapes

    55. Second moments of area

    Section 9: Differential equations

    56. Introduction to differential equations

    Section 10: Further number and algebra

    57. Boolean algebra and logic circuits

    58. The theory of matrices and determinants

    59. The solution of simultaneous equations by matrices and determinants

    Section 11: Statistics

    60. Presentation of statistical data

    61. Mean, median, mode and standard deviation

    62. Probability

    63. The binomial and Poisson distribution

    64. The normal distribution

    65. Linear correlation

    66. Linear regression

    67. Sampling and estimation theories

    List of essential formulae

    Answers to Practice Exercises


    John Bird, BSc (Hons), CEng, CMath, CSci, FIMA, FIET, FCollT, is the former Head of Applied Electronics in the Faculty of Technology at Highbury College, Portsmouth, UK. More recently, he has combined freelance lecturing at the University of Portsmouth, with Examiner responsibilities for Advanced Mathematics with City and Guilds and examining for the International Baccalaureate Organisation. He has over 45 years’ experience of successfully teaching, lecturing, instructing, training, educating and planning trainee engineers study programmes. He is the author of 146 textbooks on engineering, science and mathematical subjects, with worldwide sales of over one million copies. He is a chartered engineer, a chartered mathematician, a chartered scientist and a Fellow of three professional institutions. He has recently retired from lecturing at the Royal Navy's Defence College of Marine Engineering in the Defence College of Technical Training at H.M.S. Sultan, Gosport, Hampshire, UK, one of the largest engineering training establishments in Europe.