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Construction Mathematics 2nd edition [Mīkstie vāki]

(South and City College Birmingham, UK), (formerly of City of Wolverhampton College, UK), (South Birmingham College, UK)
  • Formāts: Paperback / softback, 336 pages, height x width: 246x189 mm, weight: 880 g, 43 Tables, black and white; 240 Illustrations, black and white
  • Izdošanas datums: 09-Jan-2014
  • Izdevniecība: Routledge
  • ISBN-10: 0415810787
  • ISBN-13: 9780415810784
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  • Cena: 67,71 €
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  • Formāts: Paperback / softback, 336 pages, height x width: 246x189 mm, weight: 880 g, 43 Tables, black and white; 240 Illustrations, black and white
  • Izdošanas datums: 09-Jan-2014
  • Izdevniecība: Routledge
  • ISBN-10: 0415810787
  • ISBN-13: 9780415810784
Citas grāmatas par šo tēmu:

Construction Mathematics is an introductory level mathematics text, written specifically for students of construction and related disciplines.

  • Learn by tackling exercises based on real-life construction maths. Examples include: costing calculations, labour costs, cost of materials and setting out of building components.
  • Suitable for beginners and easy to follow throughout.
  • Learn the essential basic theory along with the practical necessities.

The second edition of this popular textbook is fully updated to match new curricula, and expanded to include even more learning exercises. End of chapter exercises cover a range of theoretical as well as practical problems commonly found in construction practice, and three detailed assignments based on practical tasks give students the opportunity to apply all the knowledge they have gained.

Construction Mathematics addresses all the mathematical requirements of Level 2 construction NVQs from City & Guilds/CITB and Edexcel courses, including the BTEC First Diploma in Construction. Additional coverage of the core unit Mathematics in Construction and the Built Environment from BTEC National Construction, Civil Engineering and Building Services courses makes this an essential revision aid for students who do not have Level 2 mathematics experience before commencing their BTEC National studies. This is also the ideal primer for any reader who wishes to refresh their mathematics knowledge before going into a construction HNC or BSc.

Recenzijas

'This is an excellent resource for construction students with step by step instructions helping them to understand and enjoy mathematics. Each chapter has an instruction and methodology section with solutions and testing at the end enabling individual tracking and progression. This book will help my students improve their numeracy skills to achieve their diploma qualification.' Michael Cook, Lecturer, The Sheffield College

'Construction Mathematics has proved to be an ideal text for Construction and Civil Engineering students at National Certificate level, whilst providing Undergraduates with a well laid out revision text. The logical progression of ideas and the simple and clear examples prove valuable to students as they pass onto a higher level of study' Derek Spalton, Senior Lecturer, University of Derby

Preface to the second edition xi
Preface to the first edition xiii
How to use this book xv
Acknowledgements xvii
Abbreviations and units xix
1 Using a scientific calculator 1(8)
1.1 Introduction
1(1)
1.2 Keys of a scientific calculator
1(8)
2 Numbers 9(12)
2.1 Introduction
9(1)
2.2 History of numbers
9(1)
2.3 Positive numbers, negative numbers and integers
10(1)
2.4 Prime and composite numbers
11(1)
2.5 Square numbers
11(1)
2.6 Addition and subtraction
11(2)
2.7 Decimal numbers
13(4)
2.7.1 Place value
14(1)
2.7.2 Adding, subtracting and multiplying decimals
14(1)
2.7.3 Multiplication and division by the powers of 10
15(2)
2.8 Order of operations
17(4)
2.8.1 Brackets
17(4)
3 Basic algebra 21(10)
3.1 Introduction
21(1)
3.2 Addition and subtraction
21(1)
3.3 Multiplication and division
22(1)
3.4 Brackets
23(1)
3.5 Simple equations
24(2)
3.6 Application of linear equations
26(5)
4 Indices and logarithms 31(6)
4.1 Indices
31(1)
4.2 Laws of indices
31(4)
4.2.1 Multiplication
32(1)
4.2.2 Division
32(1)
4.2.3 Power of a power
33(1)
4.2.4 Negative powers
34(1)
4.2.5 Zero index
34(1)
4.3 Logarithms
35(2)
5 Standard form, significant figures and estimation 37(6)
5.1 Standard form
37(1)
5.2 Significant figures
38(2)
5.3 Estimation
40(3)
6 Transposition and evaluation of formulae 43(12)
6.1 Transposition of formulae
43(3)
6.1.1 Type 1 formulae
43(1)
6.1.2 Type 2 formulae
44(1)
6.1.3 Type 3 formulae
44(2)
6.2 Evaluation of formulae
46(2)
6.3 Evaluation of formulae: practical examples
48(7)
7 Fractions and percentages 55(14)
7.1 Fractions
55(6)
7.1.1 Simplification of fractions
57(2)
7.1.2 Equivalent fractions
59(1)
7.1.3 Addition and subtraction of fractions
59(1)
7.1.4 Multiplication and division of fractions
60(1)
7.1.5 Conversion of fractions to decimals.
61(1)
7.2 Percentages
61(2)
7.2.1 Conversion of fractions and decimals into percentages
61(1)
7.2.2 Value added tax (VAT)
62(1)
7.3 Bulking of sand
63(6)
8 Graphs 69(16)
8.1 Introduction
69(1)
8.2 Cartesian axes and coordinates
69(4)
8.3 Straight-line graphs
73(2)
8.4 The law of the straight line
75(4)
8.4.1 The gradient (m)
76(1)
8.4.2 The intercept (c)
77(2)
8.5 Simultaneous equations
79(1)
8.6 Quadratic equations
80(5)
9 Units and their conversion 85(12)
9.1 Introduction
85(1)
9.2 Length
86(3)
9.2.1 Conversion factors
86(2)
9.2.2 Use of the graphical method
88(1)
9.3 Mass
89(3)
9.3.1 Conversion factors
89(1)
9.3.2 Graphical method
90(2)
9.4 Area, volume and capacity
92(2)
9.5 Temperature
94(3)
10 Geometry 97(18)
10.1 Angles
97(3)
10.1.1 Types of angle
99(1)
10.2 Polygons
100(1)
10.3 Triangles
101(6)
10.3.1 Types of triangle
101(1)
10.3.2 Theorem of Pythagoras
102(2)
10.3.3 Similar triangles
104(3)
10.4 Quadrilaterals
107(3)
10.5 Sum of the angles in a polygon
110(1)
10.6 The circle
111(4)
11 Areas (1) 115(14)
11.1 Introduction
115(1)
11.2 Area of triangles
116(1)
11.3 Area of quadrilaterals
117(1)
11.4 Area of circles
118(2)
11.5 Application of area to practical problems
120(9)
11.5.1 Cavity walls
123(6)
12 Volumes (1) 129(16)
12.1 Introduction
129(1)
12.2 Volume of prisms, cylinders, pyramids and cones
130(6)
12.3 Mass, volume and density
136(1)
12.4 Concrete mix and its constituents
137(8)
13 Trigonometry (1) 145(22)
13.1 Introduction
145(1)
13.2 The trigonometrical ratios
145(2)
13.3 Trigonometric ratios for 30°, 45°, 60°
147(4)
13.4 Angles of elevation and depression
151(1)
13.5 Stairs
152(4)
13.6 Roofs
156(5)
13.7 Excavations and embankments
161(6)
14 Setting out 167(16)
14.1 Introduction
167(1)
14.2 Setting out a simple building site
167(2)
14.3 Bay windows and curved brickwork
169(3)
14.4 Checking a building for square corners
172(2)
14.5 Circular arches
174(4)
14.6 Elliptical arches
178(5)
15 Costing: materials and labour 183(12)
15.1 Introduction
183(1)
15.2 Foundations
183(2)
15.3 Cavity walls
185(3)
15.4 Flooring
188(1)
15.5 Painting
189(6)
16 Statistics 195(20)
16.1 Introduction
195(1)
16.2 Tally charts
195(1)
16.3 Tables
196(1)
16.4 Types of data
196(2)
16.4.1 Discrete data
196(1)
16.4.2 Continuous data
197(1)
16.4.3 Raw data
197(1)
16.4.4 Grouped data
197(1)
16.5 Averages
198(2)
16.5.1 The mean
199(1)
16.5.2 The mode
199(1)
16.5.3 The median
199(1)
16.5.4 Comparison of mean, mode and median
199(1)
16.6 The range
200(1)
16.7 Statistical diagrams
201(5)
16.7.1 Pictograms
202(1)
16.7.2 Bar charts
202(1)
16.7.3 Pie charts
202(1)
16.7.4 Line graphs
202(4)
16.8 Frequency distributions
206(9)
16.8.1 Histograms
206(1)
16.8.2 Frequency polygons
206(2)
16.8.3 Cumulative frequency distribution
208(7)
17 Areas and volumes (2) 215(8)
17.1 Introduction
215(1)
17.2 Surface area of a pyramid
215(3)
17.2.1 Frustum of a pyramid
216(2)
17.3 Surface area of a cone
218(5)
17.3.1 Frustum of a cone
219(4)
18 Areas and volumes (3) 223(12)
18.1 Introduction
223(1)
18.2 Mid-ordinate rule
223(1)
18.3 Trapezoidal rule
224(1)
18.4 Simpson's rule
225(2)
18.5 Volume of irregular solids
227(1)
18.6 Prismoidal rule
228(7)
19 Trigonometry (2) 235(14)
19.1 The sine rule and the cosine rule
235(8)
19.1.1 The sine rule
235(5)
19.1.2 The cosine rule
240(3)
19.2 Area of triangles
243(6)
20 Computer techniques 249(14)
20.1 Introduction
249(1)
20.2 Microsoft Excel 2000
249(14)
21 Assignments 263(10)
21.1 Assignment 1
263(3)
21.2 Assignment 2
266(4)
21.3 Assignment 3
270(3)
Appendix 1: Concrete mix 273(2)
Appendix 2: Solutions 275(38)
Index 313
Surinder Virdi is a lecturer in construction at South and City College Birmingham. He worked as a structural engineer for a number of years before starting his teaching career in further education. He has been teaching mathematics, construction science and construction technology on BTEC National and Higher National courses for the last 25 years.





Roy Baker spent forty years teaching mathematics, construction science and structural mechanics at the City of Wolverhampton College before retiring in 2005. He now works as a visiting lecturer.





Narinder Kaur Virdi is a programme manager at the South and City College Birmingham and is responsible for managing the provision of basic skills. She worked as a biochemist for a number of years before becoming a trained teacher. She has been teaching literacy and numeracy for the last 15 years.