Higher Engineering Mathematics | Sixth Edition | John Bird

This sixth 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 “Higher Engineering Mathematics” the topics have been arranged into the following twelve convenient categories: number and algebra, geometry and trigonometry, graphs, complex numbers, matrices and determinants, vector geometry, differential calculus, integral calculus, differential equations, statistics and probability, Laplace transforms and Fourier series.

New material has been added on logarithms and exponential functions, binary, octal and hexadecimal, vectors and methods of adding alternating waveforms. Another feature is that a free Internet download is available of an exercise (over 1100) of problems contained in the book.

The basic aim of the content in this text book 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 programs.

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Higher Engineering Mathematics - 6th Edition: Table of Content

  1. Algebra
  2. Partial fractions
  3. Logarithms
  4. Exponential functions
  5. Hyperbolic functions
  6. Arithmetic and geometric progressions
  7. The binomial series
  8. Maclaurin’s series
  9. Solving equations by iterative methods
  10. Binary, octal and hexadecimal
  11. Introduction to trigonometry
  12. Cartesian and polar co-ordinates
  13. The circle and its properties
  14. Trigonometric waveforms
  15. Trigonometric identities and equations
  16. The relationship between trigonometric and hyperbolic functions
  17. Compound angles
  18. Functions and their curves
  19. Irregular areas, volumes and mean values of wave forms
  20. Complex numbers
  21. De Moivre’s theorem
  22. The theory of matrices and determinants
  23. The solution of simultaneous equations by matrices and determinants
  24. Vectors
  25. Methods of adding alternating wave forms
  26. Scalar and vector products
  27. Methods of differentiation
  28. Some applications of differentiation
  29. Differentiation of parametric equations
  30. Differentiation of implicit functions
  31. Logarithmic differentiation
  32. Differentiation of hyperbolic functions
  33. Differentiation of inverse trigonometric and hyperbolic functions
  34. Partial differentiation
  35. Total differential, rates of change and small changes
  36. Maxima, minima and saddle points for functions of two variables
  37. Standard integration
  38. Some applications of integration
  39. Integration using algebraic substitutions
  40. Integration using trigonometric and hyperbolic substitutions
  41. Integration using partial fractions
  42. The t =tanθ/2 substitution
  43. Integration by parts
  44. Reduction formulae
  45. Numerical integration
  46. Solution of first order differential equations by separation of variables
  47. Homogeneous first order differential equations
  48. Linear first order differential equations
  49. Numerical methods for first order differential equations
  50. Second order differential equations
  51. Power series methods of solving ordinary differential equations
  52. An introduction to partial differential equations
  53. Presentation of statistical data
  54. Measures of central tendency and dispersion
  55. Probability
  56. The binomial and Poisson distributions
  57. The normal distribution
  58. Linear correlation
  59. Linear regression
  60. Introduction to Laplace transforms
  61. Properties of Laplace transforms
  62. Inverse Laplace transforms
  63. The solution of differential equations using Laplace transforms
  64. The solution of simultaneous differential equations using Laplace transforms
  65. Fourier series for periodic functions of period 2π
  66. Fourier series for a non-periodic function over range 2π
  67. Even and odd functions and half-range Fourier series
  68. Fourier series over any range
  69. A numerical method of harmonic analysis
  70. The complex or exponential form of a Fourier series
  71. Essential formulae

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