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Science and Mathematics for Engineering 6th edition [Pehme köide]

(Defence College of Technical Training, UK)
  • Formaat: Paperback / softback, 562 pages, kõrgus x laius: 276x219 mm, kaal: 2000 g, 8 Tables, color; 447 Line drawings, black and white; 42 Halftones, black and white; 489 Illustrations, black and white
  • Ilmumisaeg: 10-Oct-2019
  • Kirjastus: Routledge
  • ISBN-10: 0367204746
  • ISBN-13: 9780367204747
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  • Formaat: Paperback / softback, 562 pages, kõrgus x laius: 276x219 mm, kaal: 2000 g, 8 Tables, color; 447 Line drawings, black and white; 42 Halftones, black and white; 489 Illustrations, black and white
  • Ilmumisaeg: 10-Oct-2019
  • Kirjastus: Routledge
  • ISBN-10: 0367204746
  • ISBN-13: 9780367204747
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.

Arvustused

"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) "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)

Preface xiii
SECTION 1 APPLIED MATHEMATICS
1(166)
1 Basic arithmetic
3(7)
1.1 Introduction
3(1)
1.2 Revision of addition and subtraction
4(1)
1.3 Revision of multiplication and division
5(2)
1.4 Highest common factors and lowest common multiples
7(1)
1.5 Order of operation and brackets
8(2)
2 Fractions, decimals and percentages
10(14)
2.1 Fractions
11(4)
2.2 Ratio and proportion
15(1)
2.3 Decimals
16(3)
2.4 Percentages
19(3)
Revision Test 1 Arithmetic, fractions, decimals and percentages
22(2)
3 Indices, units, prefixes and engineering notation
24(18)
3.1 Powers and roots
25(1)
3.2 Laws of indices
26(2)
3.3 Introduction to engineering units
28(1)
3.4 SI units
28(2)
3.5 Common prefixes
30(1)
3.6 Standard form
31(1)
3.7 Engineering notation
32(2)
3.8 Metric conversions
34(3)
3.9 Metric -- US/Imperial conversions
37(5)
4 Calculations and evaluation of formulae
42(8)
4.1 Introduction
42(1)
4.2 Use of calculator
42(4)
4.3 Evaluation of formulae
46(2)
Revision Test 2 Indices, units, calculator and evaluation of formulae
48(2)
5 Basic algebra
50(8)
5.1 Introduction
51(1)
5.2 Basic operations
51(2)
5.3 Laws of indices
53(1)
5.4 Brackets
54(1)
5.5 Factorisation
55(1)
5.6 Laws of precedence
56(2)
6 Solving simple equations
58(8)
6.1 Introduction
58(1)
6.2 Solving equations
59(3)
6.3 Practical problems involving simple equations
62(3)
Revision Test 3 Algebra and simple equations
65(1)
7 "Transposing formulae
66(6)
7.1 Introduction
66(1)
7.2 Transposing formulae
66(2)
7.3 Further transposing of formulae
68(2)
7.4 More difficult transposing of formulae
70(2)
8 Solving simultaneous equations
72(6)
8.1 Introduction
72(1)
8.2 Solving simultaneous equations in two unknowns
73(2)
8.3 Further solving of simultaneous equations
75(1)
8.4 Practical problems involving simultaneous equations
76(2)
9 Logarithms and exponential functions
78(13)
9.1 Introduction to logarithms
79(1)
9.2 Laws of logarithms
79(2)
9.3 Indicial equations
81(1)
9.4 Graphs of logarithmic functions
82(1)
9.5 Exponential functions
82(1)
9.6 Graphs of exponential functions
83(1)
9.7 Napierian logarithms
84(2)
9.8 Laws of growth and decay
86(4)
Revision Test 4 Transposition of formulae, simultaneous equations, logarithms and exponential functions
90(1)
10 Straight line graphs
91(14)
10.1 Introduction to graphs
91(1)
10.2 Axes, scales and co-ordinates
92(1)
10.3 Straight line graphs
93(3)
10.4 Gradients, intercepts and equation of a graph
96(4)
10.5 Practical problems involving straight line graphs
100(5)
11 Introduction to trigonometry
105(18)
11.1 Introduction
105(1)
11.2 The theorem of Pythagoras
105(3)
11.3 Sines, cosines and tangents
108(2)
11.4 Evaluating trigonometric ratios of acute angles
110(2)
11.5 Solving right-angled triangles
112(3)
11.6 Graphs of trigonometric functions
115(1)
11.7 Sine and cosine rules
116(1)
11.8 Area of any triangle
116(1)
11.9 Worked problems on the solution of triangles and their areas
116(2)
11.10 Practical situations involving trigonometry
118(3)
Revision Test 5 Straight line graphs and trigonometry
121(2)
12 Areas of common shapes
123(13)
12.1 Introduction
123(1)
12.2 Common shapes
124(2)
12.3 Calculating areas of common shapes
126(8)
12.4 Areas of similar shapes
134(2)
13 The circle
136(7)
13.1 Introduction
136(1)
13.2 Properties of circles
136(2)
13.3 Radians and degrees
138(1)
13.3 Arc length and areas of circles and sectors
139(4)
14 Volumes of common solids
143(24)
14.1 Introduction
143(1)
14.2 Calculating volumes and surface areas of common solids
143(7)
14.3 Summary of volumes and surface areas of common solids
150(1)
14.4 Calculating more complex volumes and surface areas
150(5)
14.5 Volumes of similar shapes
155(2)
Revision Test 6 Areas and volumes
157(3)
Multiple-choice questions on Applied Mathematics
160(7)
SECTION II MECHANICAL APPLICATIONS
167(194)
15 SI units and density
169(6)
15.1 SI units
169(2)
15.2 Density
171(4)
16 Atomic structure of matter
175(6)
16.1 Elements, atoms, molecules and compounds
175(1)
16.2 Mixtures, solutions, suspensions and solubility
176(2)
16.3 Crystals
178(1)
16.4 Metals
178(3)
17 Speed and velocity
181(8)
17.1 Speed
181(1)
17.2 Distance/time graph
182(3)
17.3 Speed/time graph
185(1)
17.4 Velocity
186(3)
18 Acceleration
189(6)
18.1 Introduction to acceleration
190(1)
18.2 Velocity/time graph
190(1)
18.3 Free-fall and equation of motion
191(4)
19 Force, mass and acceleration
195(8)
19.1 Introduction
196(1)
19.2 Newton's laws of motion
196(3)
19.3 Centripetal acceleration
199(3)
Revision Test 7 SI units, density, speed and velocity, force, mass and acceleration
202(1)
20 Forces acting at a point
203(15)
20.1 Introduction
203(1)
20.2 Scalar and vector quantities
204(1)
20.3 Centre of gravity and equilibrium
204(1)
20.4 Forces
205(1)
20.5 The resultant of two coplanar forces
205(1)
20.6 Triangle of forces method
206(1)
20.7 The parallelogram of forces method
207(1)
20.8 Resultant of coplanar forces by calculation
208(1)
20.9 Resultant of more than two coplanar forces
209(2)
20.10 Coplanar forces in equilibrium
211(1)
20.11 Resolution of forces
212(3)
20.12 Summary
215(3)
21 Work, energy and power
218(16)
21.1 Introduction
219(1)
21.2 Work
219(4)
21.3 Energy
223(2)
21.4 Power
225(3)
21.5 Potential and kinetic energy
228(6)
22 Simply supported beams
234(10)
22.1 Introduction
234(1)
22.2 The moment of a force
235(1)
22.3 Equilibrium and the principle of moments
236(2)
22.4 Simply supported beams having point loads
238(5)
Revision Test 8 Forces acting at a point, work, energy and power and simply supported beams
243(1)
23 Linear and angular motion
244(9)
23.1 Introduction
244(1)
23.2 The radian
244(1)
23.3 Linear and angular velocity
245(1)
23.4 Linear and angular acceleration
246(1)
23.5 Further equations of motion
247(2)
23.6 Relative velocity
249(4)
24 Friction
253(5)
24.1 Introduction to friction
253(1)
24.2 Coefficient of friction
254(1)
24.3 Applications of friction
255(3)
25 Simple machines
258(12)
25.1 Machines
258(1)
25.2 Force ratio, movement ratio and efficiency
258(3)
25.3 Pulleys
261(1)
25.4 The screw-jack
262(1)
25.5 Gear trains
263(2)
25.6 Levers
265(4)
Revision Test 9 Linear and angular motion, friction and simple machines
269(1)
26 The effects of forces on materials
270(12)
26.1 Introduction
271(1)
26.2 Forces
271(1)
26.3 Tensile force
271(1)
26.4 Compressive force
272(1)
26.5 Shear force
272(1)
26.6 Stress
272(1)
26.7 Strain
273(2)
26.8 Elasticity, limit of proportionality and elastic limit
275(1)
26.9 Hooke's law
276(3)
26.10 Ductility, brittleness and malleability
279(3)
27 Linear momentum and impulse
282(8)
27.1 Introduction
283(1)
27.2 Linear momentum
283(2)
27.3 Impulse and impulsive forces
285(4)
Revision Test 10 Forces on materials and linear momentum and impulse
289(1)
28 Torque
290(10)
28.1 Introduction
290(1)
28.2 Couple and torque
291(1)
28.3 Work done and power transmitted by a constant torque
291(2)
28.4 Kinetic energy and moment of inertia
293(3)
28.5 Power transmission and efficiency
296(4)
29 Pressure in fluids
300(14)
29.1 Pressure
300(1)
29.2 Fluid pressure
301(2)
29.3 Atmospheric pressure
303(1)
29.4 Archimedes' principle
304(2)
29.5 Measurement of pressure
306(1)
29.6 Barometers
306(2)
29.7 Absolute and gauge pressure
308(1)
29.8 The manometer
308(1)
29.9 The Bourdon pressure gauge
309(1)
29.10 Vacuum gauges
310(4)
30 Heat energy and transfer
314(14)
30.1 Introduction
315(1)
30.2 Heat and temperature
315(1)
30.3 The measurement of temperature
316(1)
30.4 Specific heat capacity
316(2)
30.5 Change of state
318(1)
30.6 Latent heats of fusion and vaporisation
319(2)
30.7 A simple refrigerator
321(1)
30.8 Conduction, convection and radiation
321(1)
30.9 Vacuum flask
322(1)
30.10 Use of insulation in conserving fuel
322(1)
30.11 Thermal efficiency
322(1)
30.12 Calorific value and combustion
323(1)
30.13 Heat Exchangers
323(4)
Revision Test 11 Torque, pressure in fluids, heat energy and transfer
327(1)
31 Thermal expansion
328(9)
31.1 Introduction
329(1)
31.2 Practical applications of thermal expansion
329(1)
31.3 Expansion and contraction of water
329(1)
31.4 Coefficient of linear expansion
330(2)
31.5 Coefficient of superficial expansion
332(1)
31.6 Coefficient of cubic expansion
332(5)
32 Ideal gas laws
337(12)
32.1 Boyle's law
338(1)
32.2 Charles' law
339(2)
32.3 The pressure or Gay-Lussac's law
341(1)
32.4 Dalton's law of partial pressure
342(1)
32.5 Characteristic gas equation
343(1)
32.6 Worked problems on the characteristic gas equation
343(2)
32.7 Further worked problems on the characteristic gas equation
345(4)
33 The measurement of temperature
349(12)
33.1 Introduction
350(1)
33.2 Liquid-in-glass thermometers
350(1)
33.3 Thermocouples
351(2)
33.4 Resistance thermometers
353(2)
33.5 Thermistors
355(1)
33.6 Pyrometers
355(2)
33.7 Temperature-indicating paints and crayons
357(1)
33.8 Bimetallic thermometers
357(1)
33.9 Mercury-in-steel thermometer
357(1)
33.10 Gas thermometers
358(1)
33.11 Choice of measuring device
358(2)
Revision Test 12 Thermal expansion, ideal gas laws and temperature measurement
360(1)
SECTION III ELECTRICAL APPLICATIONS
361(152)
34 An introduction to electric circuits
363(12)
34.1 Introduction
364(1)
34.2 Standard symbols for electrical components
364(1)
34.3 Electric current and quantity of electricity
364(2)
34.4 Potential difference and resistance
366(1)
34.5 Basic electrical measuring instruments
366(1)
34.6 Ohm's law
367(1)
34.7 Multiples and sub-multiples
368(1)
34.8 Conductors and insulators
369(1)
34.9 Electrical power and energy
369(2)
34.10 Main effects of electric current
371(1)
34.11 Fuses
372(3)
35 Resistance variation
375(9)
35.1 Resistor construction
376(1)
35.2 Resistance and resistivity
376(2)
35.3 Temperature coefficient of resistance
378(2)
35.4 Resistor colour coding and ohmic values
380(4)
36 Batteries and alternative sources of energy
384(19)
36.1 Introduction to batteries
385(1)
36.2 Some chemical effects of electricity
385(1)
36.3 The simple cell
386(1)
36.4 Corrosion
387(1)
36.5 E.m.f. and internal resistance of a cell
387(2)
36.6 Primary cells
389(1)
36.7 Secondary cells
390(2)
36.8 Lithium-ion batteries
392(3)
36.9 Cell capacity
395(1)
36.10 Safe disposal of batteries
395(1)
36.11 Fuel cells
395(1)
36.12 Alternative and renewable energy sources
396(1)
36.13 Solar energy
397(2)
36.14 Glass batteries
399(4)
37 Series and parallel networks
403(15)
37.1 Introduction
403(1)
37.2 Series circuits
404(1)
37.3 Potential divider
405(2)
37.4 Parallel networks
407(3)
37.5 Current division
410(3)
37.6 Wiring lamps in series and in parallel
413(3)
Revision Test 13 Electric circuits, resistance variation, batteries and series and parallel networks
416(2)
38 Kirchhoff's laws
418(6)
38.1 Introduction
418(1)
38.2 Kirchhoff's current and voltage laws
418(1)
38.3 Worked problems on Kirchhoff's laws
419(5)
39 Magnetism and electromagnetism
424(14)
39.1 Introduction to magnetism and magnetic circuits
425(1)
39.2 Magnetic fields
425(3)
39.3 Electromagnets
428(2)
39.4 Magnetic flux and flux density
430(1)
39.5 Force on a current-carrying conductor
431(3)
39.6 Principle of operation of a simple d.c. motor
434(1)
39.7 Force on a charge
435(3)
40 Electromagnetic induction
438(12)
40.1 Introduction to electromagnetic induction
439(1)
40.2 Laws of electromagnetic induction
440(3)
40.3 Self inductance
443(1)
40.4 Mutual inductance
443(1)
40.5 The transformer
444(5)
Revision Test 14 Kirchhoff's laws, magnetism, electromagnetism and electromagnetic induction
449(1)
41 Alternating voltages and currents
450(11)
41.1 Introduction
451(1)
41.2 The a.c. generator
451(1)
41.3 Waveforms
451(2)
41.4 A.c. values
453(3)
41.5 Electrical safety - insulation and fuses
456(1)
41.6 Semiconductor diodes
457(1)
41.7 Rectification
457(1)
41.8 Smoothing of the rectified output waveform
458(3)
42 Capacitors and inductors
461(17)
42.1 Capacitors and capacitance
462(3)
42.2 The parallel-plate capacitor
465(1)
42.3 Capacitors connected in parallel and series
466(2)
42.4 Dielectric strength
468(1)
42.5 Energy stored in capacitors
468(1)
42.6 Practical types of capacitor
469(2)
42.7 Supercapacitors
471(1)
42.8 Discharging capacitors
471(1)
42.9 Inductance
471(2)
42.10 Inductors
473(1)
42.11 Practical inductors
473(1)
42.12 Energy stored by inductors
473(1)
42.13 Inductance of a coil
474(4)
43 Electrical measuring instruments and measurements
478(16)
43.1 Introduction
479(1)
43.2 Electronic instruments
479(1)
43.3 Multimeters
479(1)
43.4 Wattmeters
479(1)
43.5 Instrument `loading' effect
479(2)
43.6 The oscilloscope
481(5)
43.7 Virtual test and measuring instruments
486(1)
43.8 Virtual digital storage oscilloscopes
487(3)
43.9 Null method of measurement
490(1)
43.10 Wheatstone bridge
491(1)
43.11 D.c. potentiometer
491(3)
44 Global climate change and the future of electricity production
494(19)
44.1 Introduction
495(1)
44.2 Global climate change
495(1)
44.3 Evidence of rapid climate change
496(1)
44.4 Consequences of global climate change
497(1)
44.5 How does electric power production affect the global climate?
497(1)
44.6 Generating electrical power using coal
498(1)
44.7 Generating electrical power using oil
499(2)
44.8 Generating electrical power using natural gas
501(1)
44.9 Generating electrical power using nuclear energy
502(1)
44.10 Generating electrical power using hydro power
503(1)
44.11 Generating electrical power using pumped storage
504(1)
44.12 Generating electrical power using wind
505(1)
44.13 Generating electrical power using tidal power
505(2)
44.14 Generating electrical power using biomass
507(1)
44.15 Generating electrical power using solar energy
507(1)
44.16 Harnessing the power of wind, tide and sun on an `energy island' - a future possibility?
508(3)
Revision Test 15 Alternating voltages and currents, capacitors and inductors, measurements and electricity production
511(2)
SECTION IV ENGINEERING SYSTEMS
513(11)
45 Introduction to Engineering systems
515(9)
45.1 Introduction
516(1)
45.2 Systems
516(1)
45.3 Types of systems
516(1)
45.4 Transducers
516(1)
45.5 System diagrams
516(1)
45.6 System control
517(1)
45.7 Control methods
518(2)
45.8 System response
520(1)
45.9 Negative and positive feedback
521(1)
45.10 Evaluation of system response
522(2)
List of main Formulae for Science and Mathematics for Engineering 524(7)
Answers to Practice Exercises 531(19)
Glossary of terms 550(7)
Index 557
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.