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Construction Mathematics [Mīkstie vāki]

(South and City College Birmingham, UK), (formerly of City of Wolverhampton College, UK)
  • Formāts: Paperback / softback, 298 pages, height x width: 246x189 mm, weight: 612 g
  • Izdošanas datums: 05-Sep-2006
  • Izdevniecība: Butterworth-Heinemann Ltd
  • ISBN-10: 0750667923
  • ISBN-13: 9780750667920
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  • Formāts: Paperback / softback, 298 pages, height x width: 246x189 mm, weight: 612 g
  • Izdošanas datums: 05-Sep-2006
  • Izdevniecība: Butterworth-Heinemann Ltd
  • ISBN-10: 0750667923
  • ISBN-13: 9780750667920
Citas grāmatas par šo tēmu:
Taking a starting point below that of GCSE level, by assuming no prior mathematical knowledge, Surinder Virdi and Roy Baker take the reader step by step through the mathematical requirements for Level 2 and 3 Building and Construction courses.

Unlike the majority of basic level maths texts available, this book focuses exclusively on mathematics as it is applied in actual construction practice. As such, topics specific to the construction industry are presented, as well as essential areas for Level 2 craft NVQs, which are not typically found in traditional, lower level, maths texts - for example, costing calculations, labour costs, cost of materials, preparation of scale drawings, and setting out of building components. All mathematical topics throughout the text are supported by technically accurate construction images, providing a graphical representation of the construction scenarios in which mathematical topics are introduced.

End of chapter exercises cover a range of theoretical as well as practical problems commonly found in construction practice, and two project-based assignments give students the opportunity to apply the knowledge they have gained to solve these practical problems. Solutions to all exercises are included at the end of book. A chapter detailing the use of a scientific calculator for performing construction calculations will prove invaluable for students with no prior experience of their use.

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

* Focuses on construction topics not found in traditional technician-level mathematics textbooks - essential for students learning how to apply mathematics in building and construction
* Content matched to the learning outcomes of CITB / City & Guilds and Edexcel construction courses at Levels 2 and 3, including the core unit Analytical Methods for BTEC National, and the new VGCSE in Construction and the Built Environment
* Technically accurate construction images provide graphical representation of key construction scenarios in which mathematics topics are introduced

Recenzijas

Unlike the majority of basic level math texts available, this book focuses exclusively on mathematics as it is applied to actual construction practice. As such, topics specific to the construction industry are presented which are not typically found in traditional, lower level math texts. Architectural Technology, November/December 2006

Preface xi
About the authors xiii
Acknowledgements xv
Using a scientific calculator
1(7)
Introduction
1(1)
Keys of a scientific calculator
1(7)
Numbers
8(11)
Introduction
8(1)
History of numbers
8(1)
Positive numbers, negative numbers and integers
9(1)
Prime and composite numbers
10(1)
Square numbers
10(1)
Addition and subtraction
10(2)
Decimal numbers
12(4)
Place value
12(1)
Adding, subtracting and multiplying decimals
13(1)
Multiplication and division by the powers of 10
14(2)
Order of operations
16(3)
Brackets
16(3)
Basic algebra
19(8)
Introduction
19(1)
Addition and subtraction
19(1)
Multiplication and division
20(1)
Brackets
21(1)
Simple equations
22(1)
Application of linear equations
23(4)
Indices and logarithms
27(6)
Indices
27(1)
Laws of indices
27(4)
Multiplication
28(1)
Division
28(1)
Power of a power
29(1)
Negative powers
30(1)
Zero index
31(1)
Logarithms
31(2)
Standard form, significant figures and estimation
33(5)
Standard form
33(1)
Significant figures
34(2)
Estimation
36(2)
Transposition and evaluation of formulae
38(7)
Transposition of formulae
38(4)
Type 1 formulae
38(1)
Type 2 formulae
39(1)
Type 3 formulae
39(3)
Evaluation of formulae
42(3)
Fractions and percentages
45(14)
Fractions
45(7)
Simplification of fractions
48(1)
Equivalent fractions
49(1)
Addition and subtraction of fractions
50(1)
Multiplication and division of fractions
51(1)
Conversion of fractions to decimals
52(1)
Percentages
52(2)
Conversion of fractions and decimals into percentage
53(1)
Value added tax (VAT)
54(1)
Bulking of sand
54(5)
Graphs
59(13)
Introduction
59(1)
Cartesian axes and coordinates
59(4)
Straight-line graphs
63(2)
The law of the straight line
65(7)
The gradient (m)
66(1)
The intercept (c)
67(5)
Units and their conversion
72(10)
Introduction
72(1)
Length
73(3)
Conversion factors
73(1)
Use of the graphical method
74(2)
Mass
76(2)
Conversion factors
76(1)
Graphical method
76(2)
Area, volume and capacity
78(2)
Temperature
80(2)
Geometry
82(19)
Angles
82(4)
Types of angle
84(2)
Polygons
86(1)
Triangles
86(6)
Types of triangle
86(1)
Theorem of Pythagoras
87(2)
Similar triangles
89(3)
Quadrilaterals
92(3)
Sum of the angles in a polygon
95(1)
The circle
96(5)
Areas (1)
101(14)
Introduction
101(1)
Area of triangles
102(1)
Area of quadrilaterals
103(1)
Area of circles
104(1)
Application of area to practical problems
105(10)
Cavity walls
109(6)
Volumes (1)
115(17)
Introduction
115(1)
Volume of prisms, cylinders, pyramids and cones
116(7)
Mass, volume and density
123(1)
Concrete mix and its constituents
124(8)
Trigonometry (1)
132(23)
Introduction
132(1)
The trigonometrical ratios
132(2)
Trigonometric ratios for 30°, 45°, 60°
134(4)
Angles of elevation and depression
138(2)
Stairs
140(4)
Roofs
144(5)
Excavations and embankments
149(6)
Setting out
155(16)
Introduction
155(1)
Setting out a simple building site
155(3)
Bay windows and curved brickwork
158(2)
Checking a building for square corners
160(3)
Circular arches
163(3)
Elliptical arches
166(5)
Costing -- materials and labour
171(12)
Introduction
171(1)
Foundations
171(2)
Cavity walls
173(3)
Flooring
176(1)
Painting
177(6)
Statistics
183(18)
Introduction
183(1)
Tally charts
183(1)
Tables
184(1)
Types of data
184(2)
Discrete data
184(1)
Continuous data
184(1)
Raw data
184(1)
Grouped data
185(1)
Averages
186(1)
The mean
186(1)
The mode
187(1)
The median
187(1)
Comparison of mean, mode and median
187(1)
The range
187(2)
Statistical diagrams
189(4)
Pictograms
189(1)
Bar charts
189(1)
Pie charts
190(1)
Line graphs
190(3)
Frequency distributions
193(8)
Histograms
193(1)
Frequency polygons
194(2)
Cumulative frequency distribution
196(5)
Areas and volumes (2)
201(7)
Introduction
201(1)
Surface area of a pyramid
201(3)
Frustum of a pyramid
202(2)
Surface area of a cone
204(4)
Frustum of a cone
205(3)
Areas and volumes (3)
208(12)
Introduction
208(1)
Mid-ordinate rule
208(1)
Trapezoidal rule
209(1)
Simpson's rule
210(2)
Volume of irregular solids
212(2)
Prismoidal rule
214(6)
Trigonometry (2)
220(13)
The sine rule and the cosine rule
220(8)
The sine rule
220(5)
The cosine rule
225(3)
Area of triangles
228(5)
Computer techniques
233(14)
Introduction
233(1)
Microsoft Excel 2000
233(14)
Assignment 1 247(5)
Assignment 2 252(5)
Appendix 1 Concrete mix 257(2)
Appendix 2 Answers to exercises 259(20)
Index 279


Surinder Virdi is a lecturer in construction at South Birmingham College. He worked as 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 twenty years. Roy Baker has just retired from City of Wolverhampton College where he was working in the construction department for the last forty years. For the last twenty years he has been leading the BTEC construction team at the college and teaching mathematics, construction science and structural mechanics. He has taken on part time teaching in the same subjects.