Introductory mathematics written specifically for students new to engineering Now in its sixth edition, Basic 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. This makes it ideal for students from a wide range of academic backgrounds as the student can work through the material at their own pace. 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 introductory level engineering courses. This title is supported by a companion website with resources for both students and lecturers, including lists of essential formulae, multiple choice tests, full solutions for all 1,600 further questions contained within the practice exercises, and biographical information on the 25 famous mathematicians and engineers referenced throughout the book. The companion website for this title can be accessed from www.routledge.com/cw/bird Preface Acknowledgements 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. Angles and triangles 21. Introduction to trigonometry 22. Trigonometric waveforms 23. Non-right angled triangles and some practical applications 24. Cartesian and polar co-ordinates 25. Areas of common shapes 26. The circle and its properties 27. Volumes and surface areas of common solids 28. Irregular areas and volumes and mean values 29. Vectors 30. Methods of adding alternating waveforms 31. Presentation of statistical data 32. Mean, median, mode and standard deviation 33. Probability 34. Introduction to differentiation 35. Standard integration 36. Number sequences 37. Binary, octal and hexadecimal 38. Inequalities 39. Graphs with logarithmic scales List of formulae Answers to Practise Exercises Answers to Multiple Choice Questions Index "John Bird's approach to mathematics, based on numerous worked examples and interactive problems, is ideal for vocational students who require an entry-level textbook. Theory is kept to a minimum, with the emphasis firmly placed on problem-solving skills, making this a thoroughly practical introduction to the basic mathematics engineering that students need to master. The extensive and thorough topic coverage makes this an ideal introductory textbook for vocational engineering courses, including the BTEC National Specifications. Now in its sixth edition, Basic Engineering Mathematics has helped thousands of students to succeed in their exams. The new edition includes a section at the start of each chapter to explain why the content is important and how it relates to real life. It is also supported by a fully updated companion website with resources for both students and lecturers. The text contains over 750 worked problems and it has full solutions to all 1600 further questions contained in the 161 practice exercises. All 420 illustrations used in the text can be downloaded for use in the classroom"-- Provided by publisher