Higher Engineering Mathematics | Sixth Edition | John Bird

This sixth edition of â€˜Higher Engineering Mathematicsâ€™ 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.

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. Maclaurinâ€™s series
9. Solving equations by iterative methods
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 Moivreâ€™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 =tanÎ¸/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 2Ï€
66. Fourier series for a non-periodic function over range 2Ï€
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

Conclusion

If you really enjoyed Higher Engineering Mathematics – 6th Edition, Iâ€™d be very thankful if youâ€™d help it spread by emailing it to a friend, or sharing it on Twitter or Facebook and pin post images on your Pinterest. Thank you very much!

Did you read Higher Engineering Mathematics â€“ 6th Edition” on the way? Which one you are readingâ€”and how it is similar to one of this?

• What do you think about Higher Engineering Mathematics – 6th Edition?
• What would you like differently?
• What other ideas do you think to these books that I may have not mentioned?