Science and Mathematics for Engineering
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.
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
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
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
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.
"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)