Bird's comprehensive engineering mathematics /
Bird, J. O.,
Bird's comprehensive engineering mathematics / Comprehensive engineering mathematics John Bird. - Second edition. - pages cm.
Includes bibliographical references and index.
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 chapter 98 The Laplace transform of the Heaviside function chapter 99 The solution of differential equations using Laplace transforms chapter 100 The solution of simultaneous differential equations using Laplace transforms chapter Revision Test 33 Laplace transforms chapter Formulae/revision hints for Section M chapter Section N Fourier series chapter 101 Fourier series for periodic functions of period 2π chapter 102 Fourier series for a non-periodic function over range 2π chapter 103 Even and odd functions and half-range Fourier series chapter 104 Fourier series over any range chapter 105 A numerical method of harmonic analysis chapter 106 The complex or exponential form of a Fourier series chapter Revision Test 34 Fourier series chapter Formulae/revision hints for Section N chapter Section O Z-transforms chapter 107 An introduction to z-transforms chapter Revision Test 35 Z-transforms chapter Formulae/revision hints for Section O chapter Answers to practice exercises chapter Answers to multiple choice questions.
Bird's comprehensively covers the key mathematics for real-life engineering, running gradually from the basics to the complex.Simple explanations; supported by 1600 worked problems; over 3600 further problems within 384 exercises. The website provides detailed solutions to the further problems, plus 35 revision tests and 9 multiple-choice tests.
9780815378143 (pbk.) 9780815378150 (hardback)
2017052872
Engineering mathematics.
Electrical engineering.
Electronics.
Engineering--Study and teaching.
Mechanical engineering.
TA330 / .B514 2018
510.24/62
Bird's comprehensive engineering mathematics / Comprehensive engineering mathematics John Bird. - Second edition. - pages cm.
Includes bibliographical references and index.
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 chapter 98 The Laplace transform of the Heaviside function chapter 99 The solution of differential equations using Laplace transforms chapter 100 The solution of simultaneous differential equations using Laplace transforms chapter Revision Test 33 Laplace transforms chapter Formulae/revision hints for Section M chapter Section N Fourier series chapter 101 Fourier series for periodic functions of period 2π chapter 102 Fourier series for a non-periodic function over range 2π chapter 103 Even and odd functions and half-range Fourier series chapter 104 Fourier series over any range chapter 105 A numerical method of harmonic analysis chapter 106 The complex or exponential form of a Fourier series chapter Revision Test 34 Fourier series chapter Formulae/revision hints for Section N chapter Section O Z-transforms chapter 107 An introduction to z-transforms chapter Revision Test 35 Z-transforms chapter Formulae/revision hints for Section O chapter Answers to practice exercises chapter Answers to multiple choice questions.
Bird's comprehensively covers the key mathematics for real-life engineering, running gradually from the basics to the complex.Simple explanations; supported by 1600 worked problems; over 3600 further problems within 384 exercises. The website provides detailed solutions to the further problems, plus 35 revision tests and 9 multiple-choice tests.
9780815378143 (pbk.) 9780815378150 (hardback)
2017052872
Engineering mathematics.
Electrical engineering.
Electronics.
Engineering--Study and teaching.
Mechanical engineering.
TA330 / .B514 2018
510.24/62