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A practical introduction to the engineering science and mathematics required for engineering study and practice.

*Science and Mathematics for Engineering* is an introductory textbook that assumes no prior background in engineering. This new edition covers the fundamental scientific knowledge that all trainee engineers must acquire in order to pass their examinations and has been brought fully in line with the compulsory science and mathematics units in the new engineering course specifications. A new chapter covers present and future ways of generating electricity, an important topic.

John Bird focuses upon engineering examples, enabling students to develop a sound understanding of engineering systems in terms of the basic laws and principles. This book includes over 580 worked examples, 1300 further problems, 425 multiple choice questions (with answers), and contains sections covering the mathematics that students will require within their engineering studies, mechanical applications, electrical applications and engineering systems.

This book is supported by a companion website of materials that can be found at www.routledge/cw/bird. This resource includes fully worked solutions of all the further problems for students to access, and the full solutions and marking schemes for the revision tests found within the book for instructor use. In addition, all 447 illustrations will be available for downloading by lecturers.

Preface

**SECTION I APPLIED MATHEMATICS**

1. Basic arithmetic

2. Fractions, decimals and percentages

Revision Test 1: Arithmetic, fractions, decimals and percentages

3. Indices, units, prefixes and engineering notation

4. Calculations and evaluation of formulae

Revision Test 2: Indices, units, calculator and evaluation of formulae

5. Basic algebra

6. Solving simple equations

Revision Test 3: Algebra and simple equations

7. Transposing formulae

8. Solving simultaneous equations

Revision Test 4: Transposition of formulae and simultaneous equations

9. Straight line graphs

10. Introduction to trigonometry

Revision Test 5: Straight line graphs and trigonometry

11. Area of common shapes

12. The circle

13. Volumes of common solids

Revision Test 6: Areas and volumes

**SECTION II MECHANICAL APPLICATIONS**

14. SI units and density

15. Atomic structure of matter

16. Speed and velocity

17. Acceleration

18. Force, mass and acceleration

Revision Test 7: SI units, density, speed and velocity, force, mass and acceleration

19. Forces acting at a point

20. Work, energy and power

21. Simply supported beams

Revision Test 8: Forces acting at a point, work, energy and power and simply supported beams

22. Linear and angular motion

23. Friction

24. Simple machines

Revision Test 9: Linear and angular motion, friction and simple machines

25. The effects of forces on materials

26. Linear momentum and impulse

Revision Test 10: Forces on materials and linear momentum and impulse

27. Torque

28. Pressure in fluids

29. Heat energy and transfer

Revision Test 11: Torque, pressure in fluids, heat energy and transfer

30. Thermal expansion

31. Ideal gas laws

32. The measurement of temperature

Revision Test 12: Thermal expansion, ideal gas laws and temperature measurement

**SECTION III ELECTRICAL APPLICATIONS**

33. An introduction to electric circuits

34. Resistance variation

35. Batteries and alternative sources of energy

36. Series and parallel networks

Revision Test 13: Electric circuits, resistance variation, batteries and series and parallel networks

37. Kirchhoff’s laws

38. Magnetism and electromagnetism

39. Electromagnetic induction

Revision Test 14: Kirchhoff’s laws, magnetism, electromagnetism and electromagnetic induction

40. Alternating voltages and currents

41. Capacitors and inductors

42. Electrical measuring instruments and measurements

43. Ways of generating electricity – the present and the future

Revision Test 15: Alternating voltages and currents, capacitors and inductors, measurements and electricity generation

**SECTION IV ENGINEERING SYSTEMS**

44. Introduction to engineering systems.

List of formulae for science and engineering.

Answers to Practice Exercises.

Glossary of terms.

Index

### Biography

**John Bird** is the former Head of Applied Electronics in the Faculty of Technology at Highbury College, Portsmouth, U.K. 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 over 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 Engineering in the Defence College of Technical Training at H.M.S. Sultan, Gosport, Hampshire, U.K, one of the largest technical training establishments in Europe.

"The book is one of my personal ‘go to’ books when seeking appropriate worked examples, diagrams, and solutions due to its capable style and composition and sheer coverage – the subject matter that is covered is considerable and thorough."

- Michael Lanigan, Waterford Institute of Technology

"John Bird has always hit the mark in terms of being ‘helpful’ to students particularly in his most recent books as they provide full worked solutions... I think that new materials are important in order to refresh topics and I agree that the section on new energy sources is particularly important and relevant at this time."

- Sandra Schia, Kingston College (Surrey)