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Mathematical theories are explained in a straightforward manner, with over 500 practical engineering examples and applications. The companion website provides essential formulae, multiple choice tests, and full solutions for all 1,700 further questions; and illustrations and answers to revision tests for adopting course instructors.
Mathematical theories are explained in a straightforward manner, with over 500 practical engineering examples and applications. The companion website provides essential formulae, multiple choice tests, and full solutions for all 1,700 further questions; and illustrations and answers to revision tests for adopting course instructors.
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Autorenporträt
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 has over 45 years' experience of successfully teaching, lecturing, instructing, training, educating and planning trainee engineers study programmes. He is the author of 146 textbooks on engineering, science 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. He has recently retired from lecturing at the Defence College of Marine Engineering in the Defence College of Technical Training at H.M.S. Sultan, Gosport, Hampshire, UK, one of the largest engineering training establishments in Europe.
Inhaltsangabe
1. Basic arithmetic 2. Fractions 3. Decimals 4. Using a calculator 5. Percentages 6. Ratio and proportion 7. Powers, roots and laws of indices 8. Units, prefixes and engineering notation 9. Basic algebra 10. Further algebra 11. Solving simple equations 12. Transposing formulae 13. Solving simultaneous equations 14. Solving quadratic equations 15. Logarithms 16. Exponential functions 17. Straight line graphs 18. Graphs reducing non-linear laws to linear form 19. Graphical solution of equations 20. Graphs with logarithmic scales 21. Angles and triangles 22. Introduction to trigonometry 23. Trigonometric waveforms 24. Non-right-angled triangles and some practical applications 25. Cartesian and polar co-ordinates 26. Areas of common shapes 27. The circle and its properties 28. Volumes and surface areas of common solids 29. Irregular areas and volumes and mean values 30. Vectors 31. Methods of adding alternating waveforms 32. Presentation of statistical data 33. Mean, median, mode and standard deviation 34. Probability 35. Introduction to differentiation 36. Standard integration 37. Number sequences 38. Binary, octal and hexadecimal. List of formulae. Answers to Practice Exercises
1. Basic arithmetic 2. Fractions 3. Decimals 4. Using a calculator 5. Percentages 6. Ratio and proportion 7. Powers, roots and laws of indices 8. Units, prefixes and engineering notation 9. Basic algebra 10. Further algebra 11. Solving simple equations 12. Transposing formulae 13. Solving simultaneous equations 14. Solving quadratic equations 15. Logarithms 16. Exponential functions 17. Straight line graphs 18. Graphs reducing non-linear laws to linear form 19. Graphical solution of equations 20. Graphs with logarithmic scales 21. Angles and triangles 22. Introduction to trigonometry 23. Trigonometric waveforms 24. Non-right-angled triangles and some practical applications 25. Cartesian and polar co-ordinates 26. Areas of common shapes 27. The circle and its properties 28. Volumes and surface areas of common solids 29. Irregular areas and volumes and mean values 30. Vectors 31. Methods of adding alternating waveforms 32. Presentation of statistical data 33. Mean, median, mode and standard deviation 34. Probability 35. Introduction to differentiation 36. Standard integration 37. Number sequences 38. Binary, octal and hexadecimal. List of formulae. Answers to Practice Exercises
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