Bird's Comprehensive Engineering Mathematics.

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Bibliographic Details
Online Access:	Full Text (via Taylor & Francis)
Main Author:	Bird, John
Format:	eBook
Language:	English
Published:	[Place of publication not identified] : Routledge, 2018.
Edition:	Second edition.
Subjects:	Engineering mathematics.

Table of Contents:

Cover; Why is knowledge of mathematics important in engineering; Dedication; Title; Copyright; Contents; Preface; Section A Number and algebra; Chapter 1 Basic arithmetic; 1.1 Introduction; 1.2 Revision of addition and subtraction; 1.3 Revision of multiplication and division; 1.4 Highest common factors and lowest common multiples; 1.5 Order of operation and brackets; Chapter 2 Fractions; 2.1 Introduction; 2.2 Adding and subtracting fractions; 2.3 Multiplication and division of fractions; 2.4 Order of operation with fractions; Revision Test 1 Basic arithmetic and fractions.
Chapter 3 Decimals3.1 Introduction; 3.2 Converting decimals to fractions and vice versa; 3.3 Significant figures and decimal places; 3.4 Adding and subtracting decimal numbers; 3.5 Multiplying and dividing decimal numbers; Chapter 4 Using a calculator; 4.1 Introduction; 4.2 Adding, subtracting, multiplying and dividing; 4.3 Further calculator functions; 4.4 Errors and approximations; 4.5 Rational and irrational numbers; 4.6 Evaluation of formulae; Chapter 5 Percentages; 5.1 Introduction; 5.2 Percentage calculations; 5.3 Further percentage calculations; 5.4 More percentage calculations.
Revision Test 2 Decimals, calculations and percentagesChapter 6 Ratio and proportion; 6.1 Introduction; 6.2 Ratios; 6.3 Direct proportion; 6.4 Inverse proportion; Chapter 7 Powers, roots and laws of indices; 7.1 Introduction; 7.2 Powers and roots; 7.3 Laws of indices; Chapter 8 Units, prefixes and engineering notation; 8.1 Introduction; 8.2 SI units; 8.3 Common prefixes; 8.4 Standard form; 8.5 Engineering notation; 8.6 Metric conversions; 8.7 Metric
US/Imperial conversions; Revision Test 3 Ratio, proportion, powers, roots, indices and units; Chapter 9 Basic algebra; 9.1 Introduction.
9.2 Basic operations9.3 Laws of indices; Chapter 10 Further algebra; 10.1 Introduction; 10.2 Brackets; 10.3 Factorisation; 10.4 Laws of precedence; Multiple choice questions Test 1; Chapter 11 Solving simple equations; 11.1 Introduction; 11.2 Solving equations; 11.3 Practical problems involving simple equations; Revision Test 4 Algebra and simple equations; Chapter 12 Transposing formulae; 12.1 Introduction; 12.2 Transposing formulae; 12.3 Further transposing of formulae; 12.4 More difficult transposing of formulae; Chapter 13 Solving simultaneous equations; 13.1 Introduction.
13.2 Solving simultaneous equations in two unknowns13.3 Further solving of simultaneous equations; 13.4 Solving more difficult simultaneous equations; 13.5 Practical problems involving simultaneous equations; 13.6 Solving simultaneous equations in three unknowns; Revision Test 5 Transposition and simultaneous equations; Chapter 14 Solving quadratic equations; 14.1 Introduction; 14.2 Solution of quadratic equations by factorisation; 14.3 Solution of quadratic equations by 'completing the square; 14.4 Solution of quadratic equations by formula.
chapter Section A Number and algebra
chapter 1 Basic arithmetic
chapter 2 Fractions
chapter Revision Test 1 Basic arithmetic and fractions
chapter 3 Decimals
chapter 4 Using a calculator
chapter 5 Percentages
chapter Revision Test 2 Decimals, calculations and percentages
chapter 6 Ratio and proportion
chapter 7 Powers, roots and laws of indices
chapter 8 Units, prefixes and engineering notation
chapter Revision Test 3 Ratio, proportion, powers, roots, indices and units
chapter 9 Basic algebra
chapter 10 Further algebra
chapter Multiple choice questions Test 1
chapter 11 Solving simple equations
chapter Revision Test 4 Algebra and simple equations
chapter 12 Transposing formulae
chapter 13 Solving simultaneous equations
chapter Revision Test 5 Transposition and simultaneous equations
chapter 14 Solving quadratic equations
chapter Multiple choice questions Test 2
chapter 15 Logarithms
chapter 16 Exponential functions
chapter 17 Inequalities
chapter Revision Test 6 Quadratics, logarithms, exponentials and inequalities
chapter Formulae/revision hints for Section A
chapter Section B Further number and algebra
chapter 18 Polynomial division and the factor and remainder theorems
chapter 19 Partial fractions
chapter 20 Number sequences
chapter Revision Test 7 Further algebra, partial fractions and number sequences
chapter 21 The binomial series
chapter 22 Maclaurin's series
chapter Revision Test 8 The binomial and Maclaurin's series
chapter 23 Solving equations by iterative methods
chapter 24 Chapter Chapter 24 Hyperbolic functions
chapter Revision Test 9 Iterative methods and hyperbolic functions
chapter 25 Binary, octal and hexadecimal numbers
chapter 26 Boolean algebra and logic circuits
chapter Revision Test 10 Numbering systems, Boolean algebra and logic circuits
chapter Multiple choice questions Test 3
chapter Formulae/revision hints for Section B
chapter Section C Areas and volumes
chapter 27 Areas of common shapes
chapter 28 The circle and its properties
chapter Revision Test 11 Areas of common shapes and the circle
chapter 29 Volumes and surface areas of common solids
chapter 30 Irregular areas and volumes, and mean values
chapter Revision Test 12 Volumes, irregular areas and volumes, and mean values
chapter Formulae/revision hints for Section C
chapter Section D Graphs
chapter 31 Straight line graphs
chapter 32 Graphs reducing non-linear laws to linear form
chapter 33 Graphs with logarithmic scales
chapter Revision Test 13 Graphs
chapter 34 Polar curves
chapter 35 Graphical solution of equations
chapter 36 Functions and their curves
chapter Revision Test 14 Polar curves, graphical solution of equations and functions and their curves
chapter Multiple choice questions Test 4
chapter Formulae/revision hints for Section D
chapter Section E Geometry and trigonometry
chapter 37 Angles and triangles
chapter 38 Introduction to trigonometry
chapter Revision Test 15 Angles, triangles and trigonometry
chapter 39 Trigonometric waveforms
chapter 40 Cartesian and polar co-ordinates
chapter 41 Non-right-angled triangles and some practical applications
chapter Revision Test 16 Trigonometric waveforms, Cartesian and polar co-ordinates and non-right-angled triangles
chapter 42 Trigonometric identities and equations
chapter 43 The relationship between trigonometric and hyperbolic functions
chapter 44 Compound angles
chapter Revision Test 17 Trigonometric identities and equations and compound angles
chapter Multiple choice questions Test 5
chapter Formulae/revision hints for Section E
chapter Section F Complex numbers
chapter 45 Complex numbers
chapter 46 De Moivre's theorem
chapter Revision Test 18 Complex numbers and De Moivre's theorem
chapter Formulae/revision hints for Section F
chapter Section G Matrices and determinants
chapter 47 The theory of matrices and determinants
chapter 48 Applications of matrices and determinants
chapter Revision Test 19 Matrices and determinants
chapter Formulae/revision hints for Section G
chapter Section H Vector geometry
chapter 49 Vectors
chapter 50 Methods of adding alternating waveforms
chapter 51 Scalar and vector products
chapter Revision Test 20 Vectors
chapter Multiple choice questions Test 6
chapter Formulae/revision hints for Section H
chapter Section I Differential calculus
chapter 52 Introduction to differentiation
chapter 53 Methods of differentiation
chapter 54 Some applications of differentiation
chapter Revision Test 21 Methods of differentiation and some applications
chapter 55 Differentiation of parametric equations
chapter 56 Differentiation of implicit functions
chapter 57 Logarithmic differentiation
chapter Revision Test 22 Parametric, implicit and logarithmic differentiation
chapter 58 Differentiation of hyperbolic functions
chapter 59 Differentiation of inverse trigonometric and hyperbolic functions
chapter 60 Partial differentiation
chapter 61 Total differential, rates of change and small changes
chapter 62 Maxima, minima and saddle points for functions of two variables
chapter Revision Test 23 Further differentiation and applications
chapter Multiple choice questions Test 7
chapter Formulae/revision hints for Section I
chapter Section J Integral calculus
chapter 63 Standard integration
chapter 64 Integration using algebraic substitutions
chapter 65 Integration using trigonometric and hyperbolic substitutions
chapter Revision Test 24 Standard integration and some substitution methods
chapter 66 Integration using partial fractions
chapter 67 The t = tan θ /2 substitution
chapter 68 Integration by parts
chapter Revision Test 25 Integration using partial fractions, tan ./2 and 'by parts
chapter 69 Reduction formulae
chapter 70 Double and triple integrals
chapter 71 Numerical integration
chapter Revision Test 26 Reduction formulae, double and triple integrals, and numerical integration
chapter 72 Areas under and between curves
chapter 73 Mean and root mean square values
chapter 74 Volumes of solids of revolution
chapter 75 Centroids of simple shapes
chapter 76 Second moments of area
chapter Revision Test 27 Applications of integration
chapter Multiple choice questions Test 8
chapter Formulae/revision hints for Section J
chapter Section K Differential equations
chapter 77 Solution of first-order differential equations by separation of variables
chapter 78 Homogeneous first-order differential equations
chapter 79 Linear first-order differential equations
chapter 80 Numerical methods for first-order differential equations
chapter Revision Test 28 First-order differential equations
chapter 81 Second-order differential equations of the form +cy=0
chapter 82 Second-order differential equations of the form +cy= f (x)
chapter 83 Power series methods of solving ordinary differential equations
chapter 84 An introduction to partial differential equations
chapter Revision Test 29 Second-order differential equations, power series methods and partial differential equations
chapter Formulae/revision hints for Section K
chapter Section L Statistics and probability
chapter 85 Presentation of statistical data
chapter 86 Mean, median, mode and standard deviation
chapter 87 Probability
chapter Revision Test 30 Presentation of statistical data, mean, median, mode, standard deviation and probability
chapter 88 The binomial and Poisson distributions
chapter 89 The normal distribution
chapter 90 Linear correlation
chapter 91 Linear regression
chapter Revision Test 31 Binomial, Poisson and normal distributions, correlation and regression
chapter 92 Sampling and estimation theories
chapter 93 Significance testing
chapter 94 Chi-square and distribution-free tests
chapter Revision Test 32 Sampling and estimation theories, significance testing, chi-square and distribution-free tests
chapter Multiple choice questions Test 9
chapter Formulae/revision hints for Section L
chapter Section M Laplace transforms
chapter 95 Introduction to Laplace transforms
chapter 96 Properties of Laplace transforms
chapter 97 Inverse Laplace transforms.

Bird's Comprehensive Engineering Mathematics.

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