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Fundamentals of Engineering Mathematics (ICE Textbook series) [Pehme köide]

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  • Formaat: Paperback / softback, 152 pages, kõrgus x laius: 243x170 mm
  • Ilmumisaeg: 13-Aug-2015
  • Kirjastus: ICE Publishing
  • ISBN-10: 0727758411
  • ISBN-13: 9780727758415
Teised raamatud teemal:
Fundamentals of Engineering Mathematics (ICE Textbook series)Suurem pilt
  • Formaat: Paperback / softback, 152 pages, kõrgus x laius: 243x170 mm
  • Ilmumisaeg: 13-Aug-2015
  • Kirjastus: ICE Publishing
  • ISBN-10: 0727758411
  • ISBN-13: 9780727758415
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9780727758415.html
Märksõnad:
Developed at the University of Bristol, the first-year engineering text reviews the aspects of algebra, trigonometry, geometry, calculus, and statistics that are needed to perform civil engineering calculations, providing practical examples from structural engineering and mechanics. Later chapters demonstrate the usefulness of calculus in finding areas and masses of different types of sections, the application of equilibrium to determine action and reactions, dimensional analysis of physical phenomena, and hypothesis testing of experiments. Annotation ©2017 Ringgold, Inc., Portland, OR (protoview.com)
Abqut the authors ix
About the editors xi
Preface xiii
01 Algebra
1(18)
1.1 Introduction
1(1)
1.2 Fundamental arithmetic operations and rules
1(1)
1.3 Fractions
2(1)
1.4 Exponents and the laws of exponents (or indices)
2(1)
1.5 Powers of ten and their use in scientific notation
3(1)
1.6 Radicals and laws of radicals
4(1)
1.7 Logarithm (log) and logarithm rules
4(1)
1.8 Progressions
5(3)
1.9 Factorials
8(1)
1.10 Permutations and combinations
9(2)
1.11 Binomial and binomial theorem
11(2)
1.12 Useful expansions for engineering applications
13(1)
1.13 Polynomials
14(2)
1.14 Theorem of joint variation
16(3)
Chapter summary
16(1)
Questions for practice
17(1)
Reference
18(1)
Further reading
18(1)
02 Trigonometry
19(150)
2.1 Introduction
19(1)
2.2 Measurement of angles
19(1)
2.3 Right-angled triangles and Pythagoras' theorem
20(1)
2.4 Trigonometric functions or ratios
21(3)
2.5 Properties of triangles: sine and cosine rules
24(5)
Chapter summary
26(1)
Questions for practice
26(1)
Further reading
27(2)
03 Plane and coordinate geometry
29(1)
3.1 Introduction
29(1)
3.2 Cartesian and polar coordinate systems
29(2)
3.3 Fundamental formulae
31(1)
3.4 Proportional triangles
31(1)
3.5 Equations for a straight line
31(2)
3.6 The circle
33(1)
3.7 The parabola
33(1)
3.8 The ellipse
34(1)
3.9 The hyperbola
34(5)
Chapter summary
36(1)
Questions for practice
36(1)
Further reading
37(2)
04 Calculus
39(1)
4.1 Introduction
39(1)
4.2 Limits
39(5)
4.3 Applications of calculus
44(3)
4.4 Forming differential equations
47(8)
Chapter summary
52(1)
Questions for practice
52(1)
Further reading
53(2)
05 Probability and statistics
55(1)
5.1 Introduction
55(1)
5.2 Statistical terminology
55(1)
5.3 Descriptive statistics essentials
56(4)
5.4 Graphical presentation
60(6)
5.5 Probability
66(13)
Chapter summary
75(1)
Questions for practice
76(1)
Further reading
77(2)
06 Properties of area
79(1)
6.1 Introduction
79(1)
6.2 Area integral
80(1)
6.3 Mass integral
81(15)
6.4 Some standard results
96(6)
6.5 Further applications of first and second moments of area
102(5)
Chapter summary
104(1)
Questions for practice
105(1)
Further reading
105(2)
07 Equilibrium of bodies
107(1)
7.1 Introduction
107(1)
7.2 Structural actions
107(8)
7.3 Stability of rigid bodies
115(14)
Chapter summary
125(1)
Questions for practice
125(2)
Further reading
127(2)
08 Dimensional analysis
129(1)
8.1 Introduction
129(1)
8.2 Physical quantities and units of measurement
129(5)
8.3 Unit conversion
134(2)
8.4 Dimensional analysis
136(17)
Chapter summary
149(1)
Questions for practice
149(1)
References
150(1)
Further reading
151(2)
09 Experimental data analysis
153(1)
9.1 Introduction
153(1)
9.2 Experimental errors
154(1)
9.3 Random errors
154(1)
9.4 Systematic errors
155(1)
9.5 The mean: a point estimate
156(1)
9.6 The standard error of the mean
156(1)
9.7 An interval estimate of a measurement
156(2)
9.8 Modelling quantisation errors
158(1)
9.9 Combining errors
158(2)
9.10 Hypothesis testing: the significance of the difference sample and population means
160(1)
9.11 Hypothesis testing: the significance of the difference between two experiments
161(1)
9.12 Fitting a function to data
162(1)
9.13 Using Excel for regression analysis
162(5)
9.14 The significance of r
167(2)
Chapter summary
168(1)
Further reading
168(1)
Appendix: Frequently used units and symbols in mathematics and mechanics 169(4)
Index 173