Engineering Mathematics
eBook - PDF

Engineering Mathematics

  1. 710 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Engineering Mathematics

About this book

Now in its eighth edition, Engineering Mathematics is an established textbook that has helped thousands of students to succeed in their exams. John Bird's approach is based on worked examples and interactive problems. Mathematical theories are explained in a straightforward manner, being supported by practical engineering examples and applications in order to ensure that readers can relate theory to practice. The extensive and thorough topic coverage makes this an ideal text for a range of Level 2 and 3 engineering courses. This title is supported by a companion website with resources for both students and lecturers, including lists of essential formulae and multiple choice tests.

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Information

Publisher
Routledge
Year
2017
Print ISBN
9781138673595
eBook ISBN
9781317202608
Edition
8
Topic
Mathematics
Subtopic
Applied Mathematics
Index
Mathematics

Table of contents

  1. Cover
  2. Abstract
  3. Dedication
  4. Title
  5. Copyright
  6. Contents
  7. Preface
  8. Section 1 Number and algebra
  9. Chapter 1 Revision of fractions, decimals and percentages
  10. Chapter 2 Indices, standard form and engineering notation
  11. Chapter 3 Binary, octal and hexadecimal numbers
  12. Chapter 4 Calculations and evaluation of formulae
  13. Chapter 5 Algebra
  14. Chapter 6 Further algebra
  15. Chapter 7 Partial fractions
  16. Chapter 8 Solving simple equations
  17. Chapter 9 Transposition of formulae
  18. Chapter 10 Solving simultaneous equations
  19. Chapter 11 Solving quadratic equations
  20. Chapter 12 Inequalities
  21. Chapter 13 Logarithms
  22. Chapter 14 Exponential functions
  23. Chapter 15 Number sequences
  24. Chapter 16 The binomial series
  25. Chapter 17 Solving equations by iterative methods
  26. Section 2 Areas and volumes
  27. Chapter 18 Areas of common shapes
  28. Chapter 19 The circle and its properties
  29. Chapter 20 Volumes and surface areas of common solids
  30. Chapter 21 Irregular areas and volumes and mean values of waveforms
  31. Section 3 Trigonometry
  32. Chapter 22 Introduction to trigonometry
  33. Chapter 23 Trigonometric waveforms
  34. Chapter 24 Cartesian and polar co-ordinates
  35. Chapter 25 Triangles and some practical applications
  36. Chapter 26 Trigonometric identities and equations
  37. Chapter 27 Compound angles
  38. Section 4 Graphs
  39. Chapter 28 Straight line graphs
  40. Chapter 29 Reduction of non-linear laws to linear form
  41. Chapter 30 Graphs with logarithmic scales
  42. Chapter 31 Graphical solution of equations
  43. Chapter 32 Functions and their curves
  44. Section 5 Complex numbers
  45. Chapter 33 Complex numbers
  46. Chapter 34 De Moivre’s theorem
  47. Section 6 Vectors
  48. Chapter 35 Vectors
  49. Chapter 36 Methods of adding alternating waveforms
  50. Section 7 Statistics
  51. Chapter 37 Presentation of statistical data
  52. Chapter 38 Mean, median, mode and standard deviation
  53. Chapter 39 Probability
  54. Chapter 40 The binomial and Poisson distribution
  55. Chapter 41 The normal distribution
  56. Chapter 42 Linear correlation
  57. Chapter 43 Linear regression
  58. Chapter 44 Sampling and estimation theories
  59. Section 8 Differential calculus
  60. Chapter 45 Introduction to differentiation
  61. Chapter 46 Methods of differentiation
  62. Chapter 47 Some applications of differentiation
  63. Chapter 48 Maclaurin’s series
  64. Chapter 49 Differentiation of parametric equations
  65. Chapter 50 Differentiation of implicit functions
  66. Chapter 51 Logarithmic differentiation
  67. Section 9 Integral calculus
  68. Chapter 52 Standard integration
  69. Chapter 53 Integration using algebraic substitutions
  70. Chapter 54 Integration using trigonometric substitutions
  71. Chapter 55 Integration using partial fractions
  72. Chapter 56 The t = tan θ 2 substitution
  73. Chapter 57 Integration by parts
  74. Chapter 58 Numerical integration
  75. Chapter 59 Areas under and between curves
  76. Chapter 60 Mean and root mean square values
  77. Chapter 61 Volumes of solids of revolution
  78. Chapter 62 Centroids of simple shapes
  79. Chapter 63 Second moments of area
  80. Section 10 Differential equations
  81. Chapter 64 Introduction to differential equations
  82. Section 11 Further number and algebra
  83. Chapter 65 Boolean algebra and logic circuits
  84. Chapter 66 The theory of matrices and determinants
  85. Chapter 67 The solution of simultaneous equations by matrices and determinants
  86. List of essential formulae
  87. Answers to Practice Exercises
  88. Answers to multiple choice questions
  89. Index

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