Engineering Mathematics

John Bird (Autor)

Buch | Softcover

710 Seiten

2017 | 8th New edition
Routledge (Verlag)
978-1-138-67359-5 (ISBN)

Infos

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.

Autor

John Bird, BSc (Hons), CEng, CMath, CSci, FIMA, FIET, FCollT, 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 Organisation. He is the author of some 130 textbooks on engineering and mathematical subjects with worldwide sales of over one million copies. He is a chartered engineer, a chartered mathematician, a chartered scientist and a Fellow of three professional institutions, and is currently lecturing at the Defence School of Marine and Air Engineering in the Defence College of Technical Training at HMS Sultan, Gosport, Hampshire, UK.

Inhalt

Preface





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


Revision Test 1


5. Algebra


6. Further algebra


7. Partial fractions


8. Solving simple equations


Revision Test 2


9. Transposition of formulae


10. Solving simultaneous equations


11. Solving quadratic equations


12. Inequalities


13. Logarithms


Revision Test 3


14. Exponential functions


15. Number sequences


16. The binomial series


17. Solving equations by iterative methods


Revision Test 4





Section 2: Areas and volumes


18. Areas of common shapes


19. The circle and its properties


20. Volumes and surface areas of common solids


21. Irregular areas and volumes and mean values of waveforms


Revision Test 5





Section 3: Trigonometry


22. Introduction to trigonometry


23. Trigonometric waveforms


24. Cartesian and polar co-ordinates


Revision Test 6


25. Triangles and some practical applications


26. Trigonometric identities and equations


27. Compound angles


Revision Test 7





Section 4: Graphs


28. Straight line graphs


29. Reduction of non-linear laws to linear form


30. Graphs with logarithmic scales


31. Graphical solution of equations


32. Functions and their curves


Revision Test 8





Section 5: Complex numbers


33. Complex numbers


34. De Moivre’s theorem





Section 6: Vectors


35. Vectors


36. Methods of adding alternating waveforms


Revision Test 9





Section 7: Statistics


37. Presentation of statistical data


38. Mean, median, mode and standard deviation


39. Probability


Revision Test 10


40. The binomial and Poisson distribution


41. The normal distribution


Revision Test 11


42. Linear correlation


43. Linear regression


44. Sampling and estimation theories


Revision Test 12





Section 8: Differential Calculus


45. Introduction to differentiation


46. Methods of differentiation


47. Some applications of differentiation


48. Maclaurin’s series


Revision Test 13


49. Differentiation of parametric equations


50. Differentiation of implicit functions


51. Logarithmic differentiation


Revision Test 14





Section 9: Integral calculus


52. Standard integration


53. Integration using algebraic substitutions


54. Integration using trigonometric substitutions


Revision Test 15


55. Integration using partial fractions


56. The t = tan θ/2 substitution


57. Integration by parts


58. Numerical integration


Revision Test 16


59. Areas under and between curves


60. Mean and root mean square values


61. Volumes and solids of revolution


62. Centroids of simple shapes


63. Second moments of area


Revision Test 17





Section 10: Differential equations


64. Introduction to differential equations


Revision Test 18





Section 11: Further Number and algebra


65. Boolean algebra and logic circuits


66. The theory of matrices and determinants


67. The solution of simultaneous equations by matrices and determinants


Revision Test 19


List of essential formulae


Answers to Practice Questions


Answers to multiple choice questions


Index

Produkt-Details

• Erscheinungsdatum: 04.07.2017
• Zusatzinfo: 38 Tables, black and white; 545 Illustrations, black and white
• Verlagsort: London
• Sprache: englisch
• Maße: 219 x 276 mm
• Gewicht: 1928 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Technik
• ISBN-10: 1-138-67359-5 / 1138673595
• ISBN-13: 978-1-138-67359-5 / 9781138673595
• Zustand: Neuware