CiNii Books - Bird's engineering mathematics

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.

Table of Contents

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 iterative 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 /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

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Bird's engineering mathematics

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