Bird's Higher Engineering Mathematics
by John Bird
9th Edition
Publisher: Routledge
Book Details
| Print ISBN | 9780367643751 |
| eText ISBN | 9781000353037 |
| Publisher | Routledge |
| Publishing Year | 2021 |
| Edition | 9th Edition |
| Language | English |
| Pages | 916 |
Bird's Higher Engineering Mathematics, 9th Edition, is an applied mathematics textbook designed to help students build problem-solving skills for coursework and examinations. It connects theoretical principles directly to technical practice across broad engineering contexts.
Major subjects covered in the textbook include algebra, geometry, trigonometry, complex numbers, matrices, vector geometry, and calculus. To illustrate how mathematical concepts apply in professional environments, the text features over 600 practical engineering examples and applications.
The volume is structured for learners in undergraduate and upper-level vocational courses. Its systematic presentation combines theoretical discussions with applied technical scenarios.
Table of Contents
Chapter 1: Algebra
Chapter 2: Partial fractions
Chapter 3: Logarithms
Chapter 4: Exponential functions
Chapter 5: The binomial series
Chapter 6: Solving equations by iterative methods
Chapter 7: Boolean algebra and logic circuits
Chapter 8: Introduction to trigonometry
Chapter 9: Cartesian and polar co-ordinates
Chapter 10: The circle and its properties
Chapter 11: Trigonometric waveforms
Chapter 12: Hyperbolic functions
Chapter 13: Trigonometric identities and equations
Chapter 14: The relationship between trigonometric and hyperbolic functions
Chapter 15: Compound angles
Chapter 16: Functions and their curves
Chapter 17: Irregular areas, volumes and mean values of waveforms
Chapter 18: Complex numbers
Chapter 19: De Moivre’s theorem
Chapter 20: The theory of matrices and determinants
Chapter 21: Applications of matrices and determinants
Chapter 22: Vectors
Chapter 23: Methods of adding alternating waveforms
Chapter 24: Scalar and vector products
Chapter 25: Methods of differentiation
Chapter 26: Some applications of differentiation
Chapter 27: Differentiation of parametric equations
Chapter 28: Differentiation of implicit functions
Chapter 29: Logarithmic differentiation
Chapter 30: Differentiation of hyperbolic functions
Chapter 31: Differentiation of inverse trigonometric and hyperbolic functions
Chapter 32: Partial differentiation
Chapter 33: Total differentials, rates of change and small changes
Chapter 34: Maxima, minima and saddle points for functions of two variables
Chapter 35: Standard integration
Chapter 36: Some applications of integration
Chapter 37: Maclaurin’s series
Chapter 38: Integration using algebraic substitutions
Chapter 39: Integration using trigonometric and hyperbolic substitutions
Chapter 40: Integration using partial fractions
Chapter 41: The t = tan θ/2
Chapter 42: Integration by parts
Chapter 43: Reduction formulae
Chapter 44: Double and triple integrals
Chapter 45: Numerical integration
Chapter 46: Introduction to differential equations
Chapter 47: Homogeneous first order differential equations
Chapter 48: Linear first order differential equations
Chapter 49: Numerical methods for first order differential equations
Chapter 50: First order differential equations (1)
Chapter 51: First order differential equations (2)
Chapter 52: Power series methods of solving ordinary differential equations
Chapter 53: An introduction to partial differential equations
Chapter 54: Introduction to Laplace transforms
Chapter 55: Properties of Laplace transforms
Chapter 56: Inverse Laplace transforms
Chapter 57: The Laplace transform of the Heaviside function
Chapter 58: The solution of differential equations using Laplace transforms
Chapter 59: The solution of simultaneous differential equations using Laplace transforms
Chapter 60: Fourier series for periodic functions of period 2π
Chapter 61: Fourier series for a non-periodic function over period 2π
Chapter 62: Even and odd functions and half-range Fourier series
Chapter 63: Fourier series over any range
Chapter 64: A numerical method of harmonic analysis
Chapter 65: The complex or exponential form of a Fourier series
Chapter 66: An introduction to z-transforms
Chapter 67: Presentation of statistical data
Chapter 68: Mean, median, mode and standard deviation
Chapter 69: Probability
Chapter 70: The binomial and Poisson distributions
Chapter 71: The normal distribution
Chapter 72: Linear correlation
Chapter 73: Linear regression
Chapter 74: Sampling and estimation theories
Chapter 75: Significance testing
Chapter 76: Chi-square and distribution-free tests
Chapter Essential formulae: Essential formulae
Chapter Answers to Practice Exercises: Answers to Practice Exercises
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