Muutke küpsiste eelistusi

Bird's Basic Engineering Mathematics 8th edition [Pehme köide]

(Defence College of Technical Training, UK)
  • Formaat: Paperback / softback, 466 pages, kõrgus x laius: 280x210 mm, kaal: 1280 g, 23 Tables, black and white; 421 Line drawings, black and white; 17 Halftones, black and white; 438 Illustrations, black and white
  • Ilmumisaeg: 01-Mar-2021
  • Kirjastus: Routledge
  • ISBN-10: 0367643677
  • ISBN-13: 9780367643676
Teised raamatud teemal:
  • Pehme köide
  • Hind: 32,82 €*
  • * hind on lõplik, st. muud allahindlused enam ei rakendu
  • Tavahind: 45,69 €
  • Säästad 28%
  • Raamatu kohalejõudmiseks kirjastusest kulub orienteeruvalt 2-4 nädalat
  • Kogus:
  • Lisa ostukorvi
  • Tasuta tarne
  • Tellimisaeg 2-4 nädalat
  • Lisa soovinimekirja
Bird's Basic Engineering Mathematics 8th editionSuurem pilt
  • Formaat: Paperback / softback, 466 pages, kõrgus x laius: 280x210 mm, kaal: 1280 g, 23 Tables, black and white; 421 Line drawings, black and white; 17 Halftones, black and white; 438 Illustrations, black and white
  • Ilmumisaeg: 01-Mar-2021
  • Kirjastus: Routledge
  • ISBN-10: 0367643677
  • ISBN-13: 9780367643676
Teised raamatud teemal:
Teised raamatud sellest sooduspakkumisest: Taylor & Francis teadusraamatud International Student Editions hindadega
Püsilink: https://www.kriso.ee/db/9780367643676.html
Märksõnad:

Now in its eighth edition, Bird’s Basic Engineering Mathematics has helped thousands of students to succeed in their exams. Mathematical theories are explained in a straightforward manner, supported by practical engineering examples and applications to ensure that readers can relate theory to practice. Some 1,000 engineering situations/problems have been ‘flagged-up’ to help demonstrate that engineering cannot be fully understood without a good knowledge of mathematics.

The extensive and thorough coverage makes this a great text for introductory level engineering courses – such as for aeronautical, construction, electrical, electronic, mechanical, manufacturing engineering and vehicle technology – including for BTEC First, National and Diploma syllabuses, City & Guilds Technician Certificate and Diploma syllabuses, and even for GCSE revision.

Its companion website provides extra materials for students and lecturers, including full solutions for all 1,700 further questions, lists of essential formulae, multiple choice tests, and illustrations, as well as full solutions to revision tests for course instructors.

Preface xi
Acknowledgements xiii
1 Basic arithmetic
1(9)
1.1 Introduction
1(1)
1.2 Revision of addition and subtraction
2(1)
1.3 Revision of multiplication and division
3(2)
1.4 Highest common factors and lowest common multiples
5(2)
1.5 Order of operation and brackets
7(3)
2 Fractions
10(9)
2.1 Introduction
10(1)
2.2 Adding and subtracting fractions
11(2)
2.3 Multiplication and division of fractions
13(2)
2.4 Order of operation with fractions
15(3)
Revision Test 1
18(1)
3 Decimals
19(7)
3.1 Introduction
19(1)
3.2 Converting decimals to fractions and vice versa
19(2)
3.3 Significant figures and decimal places
21(1)
3.4 Adding and subtracting decimal numbers
22(1)
3.5 Multiplying and dividing decimal numbers
23(3)
4 Using a calculator
26(12)
4.1 Introduction
26(1)
4.2 Adding, subtracting, multiplying and dividing
26(2)
4.3 Further calculator functions
28(4)
4.4 Evaluation of formulae
32(6)
5 Percentages
38(9)
5.1 Introduction
38(1)
5.2 Percentage calculations
39(1)
5.3 Further percentage calculations
40(2)
5.4 More percentage calculations
42(4)
Revision Test 2
46(1)
6 Ratio and proportion
47(10)
6.1 Introduction
47(1)
6.2 Ratios
48(2)
6.3 Direct proportion
50(4)
6.4 Inverse proportion
54(3)
7 Powers, roots and laws of indices
57(7)
7.1 Introduction
57(1)
7.2 Powers and roots
57(2)
7.3 Laws of indices
59(5)
8 Units, prefixes and engineering notation
64(19)
8.1 Introduction
64(1)
8.2 SI units
64(1)
8.3 Common prefixes
65(3)
8.4 Standard form
68(2)
8.5 Engineering notation
70(2)
8.6 Metric conversions
72(4)
8.7 Metric - US/Imperial conversions
76(6)
Revision Test 3
82(1)
9 Basic algebra
83(8)
9.1 Introduction
83(1)
9.2 Basic operations
84(3)
9.3 Laws of indices
87(4)
10 Further algebra
91(6)
10.1 Introduction
91(1)
10.2 Brackets
91(2)
10.3 Factorisation
93(1)
10.4 Laws of precedence
94(3)
11 Solving simple equations
97(11)
11.1 Introduction
97(1)
11.2 Solving equations
97(4)
11.3 Practical problems involving simple equations
101(6)
Revision Test 4
107(1)
12 Transposing formulae
108(10)
12.1 Introduction
108(1)
12.2 Transposing formulae
108(2)
12.3 Further transposing of formulae
110(3)
12.4 More difficult transposing of formulae
113(5)
13 Solving simultaneous equations
118(14)
13.1 Introduction
118(1)
13.2 Solving simultaneous equations in two unknowns
118(2)
13.3 Further solving of simultaneous equations
120(2)
13.4 Solving more difficult simultaneous equations
122(2)
13.5 Practical problems involving simultaneous equations
124(4)
13.6 Solving simultaneous equations in three unknowns
128(3)
Revision Test 5
131(1)
14 Solving quadratic equations
132(11)
14.1 Introduction
132(1)
14.2 Solution of quadratic equations by factorisation
133(2)
14.3 Solution of quadratic equations by `completing the square'
135(2)
14.4 Solution of quadratic equations by formula
137(1)
14.5 Practical problems involving quadratic equations
138(3)
14.6 Solution of linear and quadratic equations simultaneously
141(2)
15 Logarithms
143(8)
15.1 Introduction to logarithms
143(2)
15.2 Laws of logarithms
145(2)
15.3 Indicial equations
147(2)
15.4 Graphs of logarithmic functions
149(2)
16 Exponential functions
151(14)
16.1 Introduction to exponential functions
151(1)
16.2 The power series for ex
152(2)
16.3 Graphs of exponential functions
154(2)
16.4 Napierian logarithms
156(3)
16.5 Laws of growth and decay
159(5)
Revision Test 6
164(1)
17 Straight line graphs
165(20)
17.1 Introduction to graphs
165(1)
17.2 Axes, scales and co-ordinates
165(2)
17.3 Straight line graphs
167(3)
17.4 Gradients, intercepts and equations of graphs
170(7)
17.5 Practical problems involving straight line graphs
177(8)
18 Graphs reducing non-linear laws to linear form
185(9)
18.1 Introduction
185(1)
18.2 Determination of law
185(3)
18.3 Revision of laws of logarithms
188(1)
18.4 Determination of laws involving logarithms
189(5)
19 Graphical solution of equations
194(9)
19.1 Graphical solution of simultaneous equations
194(2)
19.2 Graphical solution of quadratic equations
196(4)
19.3 Graphical solution of linear and quadratic equations simultaneously
200(1)
19.4 Graphical solution of cubic equations
200(3)
20 Graphs with logarithmic scales
203(10)
20.1 Logarithmic scales and logarithmic graph paper
203(1)
20.2 Graphs of the form v = ax"
204(3)
20.3 Graphs of the form y = abx
207(1)
20.4 Graphs of the form y = aekx
208(3)
Revision Test 7
211(2)
21 Angles and triangles
213(17)
21.1 Introduction
213(1)
21.2 Angular measurement
213(6)
21.3 Triangles
219(4)
21.4 Congruent triangles
223(2)
21.5 Similar triangles
225(2)
21.6 Construction of triangles
227(3)
22 Introduction to trigonometry
230(17)
22.1 Introduction
230(1)
22.2 The theorem of Pythagoras
230(3)
22.3 Sines, cosines and tangents
233(2)
22.4 Evaluating trigonometric ratios of acute angles
235(3)
22.5 Solving right-angled triangles
238(3)
22.6 Angles of elevation and depression
241(4)
Revision Test 8
245(2)
23 Trigonometric waveforms
247(11)
23.1 Graphs of trigonometric functions
247(1)
23.2 Angles of any magnitude
248(3)
23.3 The production of sine and cosine waves
251(1)
23.4 Terminology involved with sine and cosine waves
251(3)
23.5 Sinusoidal form: A sin(ωτ ± α)
254(4)
24 Non-right-angled triangles and some practical applications
258(10)
24.1 The sine and cosine rules
258(1)
24.2 Area of any triangle
259(1)
24.3 Worked problems on the solution of triangles and their areas
259(2)
24.4 Further worked problems on the solution of triangles and their areas
261(1)
24.5 Practical situations involving trigonometry
262(2)
24.6 Further practical situations involving trigonometry
264(4)
25 Cartesian and polar co-ordinates
268(6)
25.1 Introduction
268(1)
25.2 Changing from Cartesian to polar co-ordinates
268(2)
25.3 Changing from polar to Cartesian co-ordinates
270(1)
25.4 Use of Pol/Rec functions on calculators
271(2)
Revision Test 9
273(1)
26 Areas of common shapes
274(13)
26.1 Introduction
274(1)
26.2 Common shapes
274(3)
26.3 Areas of common shapes
277(8)
26.4 Areas of similar shapes
285(2)
27 The circle and its properties
287(12)
27.1 Introduction
287(1)
27.2 Properties of circles
287(2)
27.3 Radians and degrees
289(1)
27.4 Arc length and area of circles and sectors
290(4)
27.5 The equation of a circle
294(3)
Revision Test 10
297(2)
28 Volumes and surface areas of common solids
299(19)
28.1 Introduction
299(1)
28.2 Volumes and surface areas of common shapes
299(7)
28.3 Summary of volumes and surface areas of common solids
306(1)
28.4 More complex volumes and surface areas
306(6)
28.5 Volumes and surface areas of frusta of pyramids and cones
312(4)
28.6 Volumes of similar shapes
316(2)
29 Irregular areas and volumes and mean values
318(11)
29.1 Areas of irregular figures
318(3)
29.2 Volumes of irregular solids
321(1)
29.3 Mean or average values of waveforms
322(5)
Revision Test 11
327(2)
30 Vectors
329(14)
30.1 Introduction
329(1)
30.2 Scalars and vectors
329(1)
30.3 Drawing a vector
330(1)
30.4 Addition of vectors by drawing
331(2)
30.5 Resolving vectors into horizontal and vertical components
333(1)
30.6 Addition of vectors by calculation
334(4)
30.7 Vector subtraction
338(1)
30.8 Relative velocity
339(1)
30.9 Y and k notation
340(3)
31 Methods of adding alternating waveforms
343(11)
31.1 Combining two periodic functions
343(1)
31.2 Plotting periodic functions
344(1)
31.3 Determining resultant phasors by drawing
345(2)
31.4 Determining resultant phasors by the sine and cosine rules
347(1)
31.5 Determining resultant phasors by horizontal and vertical components
348(4)
Revision Test 12
352(2)
32 Presentation of statistical data
354(13)
32.1 Some statistical terminology
355(1)
32.2 Presentation of ungrouped data
356(3)
32.3 Presentation of grouped data
359(8)
33 Mean, median, mode and standard deviation
367(8)
33.1 Measures of central tendency
367(1)
33.2 Mean, median and mode for discrete data
368(1)
33.3 Mean, median and mode for grouped data
369(1)
33.4 Standard deviation
370(2)
33.5 Quartiles, deciles and percentiles
372(3)
34 Probability
375(10)
34.1 Introduction to probability
376(1)
34.2 Laws of probability
377(7)
Revision Test 13
384(1)
35 Introduction to differentiation
385(17)
35.1 Introduction to calculus
385(1)
35.2 Functional notation
385(1)
35.3 The gradient of a curve
386(1)
35.4 Differentiation from first principles
387(1)
35.5 Differentiation of y = axn by the general rule
388(3)
35.6 Differentiation of sine and cosine functions
391(2)
35.7 Differentiation of eax and Inax
393(1)
35.8 Summary of standard derivatives
394(1)
35.9 Successive differentiation
395(1)
35.10 Rates of change
395(2)
35.11 Differentiation of a product
397(1)
35.12 Differentiation of a quotient
398(1)
35.13 Function of a function
399(3)
36 Standard integration
402(14)
36.1 The process of integration
402(1)
36.2 The general solution of integrals of the form ax"
403(1)
36.3 Standard integrals
403(3)
36.4 Definite integrals
406(2)
36.5 The area under a curve
408(6)
Revision Test 14
414(2)
37 Number sequences
416(9)
37.1 Simple sequences
416(1)
37.2 The nth term of a series
417(1)
37.3 Arithmetic progressions
418(3)
37.4 Geometric progressions
421(4)
38 Binary, octal and hexadecimal numbers
425(13)
38.1 Introduction
425(1)
38.2 Binary numbers
426(4)
38.3 Octal numbers
430(2)
38.4 Hexadecimal numbers
432(5)
Revision Test 15
437(1)
List of formulae 438(4)
Answers to Practice Exercises 442(21)
Index 463
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.