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**Higher Engineering Mathematics (5E)** written by
** John Bird **, BSc(Hons), CMath, CEng, FIMA, MIEE, FIIE(Elec), FCollP.

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.

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.

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.

(John Bird, University of Portsmouth)

**Book Detail :- **
** Title: ** Engineering Mathematics
** Edition: ** 5th
** Author(s): ** John Bird
** Publisher: ** Newnes
** Series: **
** Year: ** 2007
** Pages: ** 745
** Type: ** PDF
** Language: ** English
** ISBN: ** 9780750681520,0750681527
** Country: ** UK

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**About Author :- **

Author ** John Bird **
is from Defence College of Technical Training, HMS Sultan, formerly of University of Portsmouth and Highbury College, Portsmouth.

John Bird 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 Organization. He is the author of some 125 textbooks on engineering and mathematical subjects, with worldwide sales of 1 million copies. He is currently a Senior Training Provider at the Defence School of Marine Engineering in the Defence College of Technical Training at HMS Sultan, Gosport, Hampshire, UK.

**All Famous Books of this Author :- **

Here is Solution Manual/Text Books of this book, We recomended you to download both.

**• Download PDF Basic Engineering Mathematics (3E) by John Bird **

**• Download PDF Basic Engineering Mathematics (4E) by John Bird **

**• Download PDF Basic Engineering Mathematics (6E) by John Bird **

**• Download PDF Engineering Mathematics (5E) by John Bird **

**• Download PDF Higher Engineering Mathematics (5E) by John Bird **

**• Download PDF Understanding Engineering Mathematics by John Bird **

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**Higher Engineering Mathematics (5E)** written by
** John Bird **
cover the following topics.
**Section A: Number and Algebra**

1. Algebra

2. Inequalities

3. Partial fractions

4. Logarithms and 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. Computer numbering systems

11. Boolean algebra and logic circuits
**Section B: Geometry and trigonometry**

12. Introduction to trigonometry

13. Cartesian and polar co-ordinates

14. The circle and its properties

15. Trigonometric waveforms

16. Trigonometric identities and equations

17. The relationship between trigonometric and

18. Compound angles
**Section C: Graphs**

19. Functions and their curves

20. Irregular areas, volumes and mean values of waveforms
**Section D: Vector geometry **

21. Vectors, phasors and the combination of waveforms

22. Scalar and vector products
**Section E: Complex numbers**

23. Complex numbers

24. De Moivre’s theorem
**Section F: Matrices and Determinants**

25. The theory of matrices and determinants

26. The solution of simultaneous equations by matrices and determinants
**Section G: Differential calculus**

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
**Section H: Integral calculus**

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 =tan?2 substitution

43. Integration by parts

44. Reduction formulae

45. Numerical integration
**Section I: Differential equations**

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 of the form a d2y dx2 +b dy dx +cy=0

51. Second order differential equations of the form a d2y dx2 +b dy dx +cy=f (x)

52. Power series methods of solving ordinary differential equations

53. An introduction to partial differential equations
**Section J: Statistics and probability**

54. Presentation of statistical data

55. Measures of central tendency and dispersion

56. Probability

57. The binomial and Poisson distributions

58. The normal distribution

59. Linear correlation

60. Linear regression

61. Sampling and estimation theories

62. Significance testing

63. Chi-square and distribution-free tests
**Section k: Laplace transforms**

64. Introduction to Laplace transforms

65. Properties of Laplace transforms

66. Inverse Laplace transforms

67. The solution of differential equations using Laplace transforms

68. The solution of simultaneous differential equations using Laplace transforms
**Section L: Fourier series**

69. Fourier series for periodic functions of period 2p

70. Fourier series for a non-periodic function over range 2p

71. Even and odd functions and half-range Fourier series

72. Fourier series over any range

73. A numerical method of harmonic analysis

74. The complex or exponential form of a Fourier series

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- Differential Equacitons
- Fourier Analysis
- Linear Algebra
- Matrix Calculus
- Vector Analysis
- Tensor Calculus
- Probability Statistics
- Discrete Mathematics

- Abstract Algebra
- Calculus
- Differential Equations
- Engineering Mathematics
- Linear Algebra
- Math Magic
- Real Analysis

- Basic Algebra
- Basic Mathematics
- Math History
- Math Formulas
- Mathematical Methods
- Number Theory
- Bio Mathematics
- Business Mathematics
- Probability & Statistics

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