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1 Algebra
2 Inequalities
3 Partial fractions
4 Logarithms and exponential functions
5 Hyperbolic functions
6 Arithmetic and geometric progressions
7 The binomial series
8 Maclaurin’s series
9 Solving equations by iterative methods
10 Computer numbering systems
11 Boolean algebra and logic circuits
12 Introduction to trigonometry
13 Cartesian and polar co-ordinates
14 The circle and its properties
15 Trigonometric waveforms
16 Trigonometric identities and equations
17 The relationship between trigonometric and hyperbolic functions
18 Compound angles
19 Functions and their curves
20 Irregular areas, volumes and mean value of waveforms
21 Vectors, phasors and the combination of waveforms
22 Scalar and vector products
23 Complex numbers
24 De Moivre’s theorem
25 The theory of matrices and determinants
26 The solution of simultaneous equations by matrices and determinants
27 Methods of differentiation
28 Some applications of differentiation
29 Differentiation of parametric equations
30 Differentiation of implicit functions
31 Logarithmic differentiation
32 Differentiation of hyperbolic functions
33 Differentiation of inverse trigonometric and hyperbolic functions
34 Partial differentiation
35 Total differential, rates of change and small changes
36 Maxima, minima and saddle points for functions of two variables
37 Standard integration
38 Some applications of integration
39 Integration using algebraic substitutions
40 Integration using trigonometric and hyperbolic substitutions
41 Integration using partial fractions
42 The t = tan θ/2 substitution
43 Integration by parts
44 Reduction formulae
45 Numerical integration
46 Solution of first order differential equations by separation of variables
47 Homogeneous first order differential equations
48 Linear first order differential equations
49 Numerical methods for first order differential equations
50 Second order differential equations of the
51 Second order differential equations of the
52 Power series methods of solving ordinary differential equations
53 An introduction to partial differential equations
54 Presentation of statistical data
55 Measures of central tendency and dispersion
56 Probability
57 The binomial and Poisson distributions
58 The normal distribution
59 Linear correlation
60 Linear regression
61 Sampling and estimation theories
62 Significance testing
63 Chi-square and distribution-free tests
64 Introduction to Laplace transforms
65 Properties of Laplace transforms
66 Inverse Laplace transforms
67 Solution of differential equations using Laplace transforms
68 The solution of simultaneous differential equations using Laplace transforms
69 Fourier series for periodic functions of period 2π
70 Fourier series for non-periodic functions over range 2π
71 Even and odd functions and half-range Fourier series
72 Fourier series over any range
73 A numerical method of harmonic analysis
74 The complex or exponential form of a Fourier series
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Higher Engineering Mathematics
Fifth Edition
John Bird,
Fifth Edition
John Bird,
Table of Contents
2 Inequalities
3 Partial fractions
4 Logarithms and exponential functions
5 Hyperbolic functions
6 Arithmetic and geometric progressions
7 The binomial series
8 Maclaurin’s series
9 Solving equations by iterative methods
10 Computer numbering systems
11 Boolean algebra and logic circuits
12 Introduction to trigonometry
13 Cartesian and polar co-ordinates
14 The circle and its properties
15 Trigonometric waveforms
16 Trigonometric identities and equations
17 The relationship between trigonometric and hyperbolic functions
18 Compound angles
19 Functions and their curves
20 Irregular areas, volumes and mean value of waveforms
21 Vectors, phasors and the combination of waveforms
22 Scalar and vector products
23 Complex numbers
24 De Moivre’s theorem
25 The theory of matrices and determinants
26 The solution of simultaneous equations by matrices and determinants
27 Methods of differentiation
28 Some applications of differentiation
29 Differentiation of parametric equations
30 Differentiation of implicit functions
31 Logarithmic differentiation
32 Differentiation of hyperbolic functions
33 Differentiation of inverse trigonometric and hyperbolic functions
34 Partial differentiation
35 Total differential, rates of change and small changes
36 Maxima, minima and saddle points for functions of two variables
37 Standard integration
38 Some applications of integration
39 Integration using algebraic substitutions
40 Integration using trigonometric and hyperbolic substitutions
41 Integration using partial fractions
42 The t = tan θ/2 substitution
43 Integration by parts
44 Reduction formulae
45 Numerical integration
46 Solution of first order differential equations by separation of variables
47 Homogeneous first order differential equations
48 Linear first order differential equations
49 Numerical methods for first order differential equations
50 Second order differential equations of the
51 Second order differential equations of the
52 Power series methods of solving ordinary differential equations
53 An introduction to partial differential equations
54 Presentation of statistical data
55 Measures of central tendency and dispersion
56 Probability
57 The binomial and Poisson distributions
58 The normal distribution
59 Linear correlation
60 Linear regression
61 Sampling and estimation theories
62 Significance testing
63 Chi-square and distribution-free tests
64 Introduction to Laplace transforms
65 Properties of Laplace transforms
66 Inverse Laplace transforms
67 Solution of differential equations using Laplace transforms
68 The solution of simultaneous differential equations using Laplace transforms
69 Fourier series for periodic functions of period 2π
70 Fourier series for non-periodic functions over range 2π
71 Even and odd functions and half-range Fourier series
72 Fourier series over any range
73 A numerical method of harmonic analysis
74 The complex or exponential form of a Fourier series
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