Book description
Mathematics for Electrical Engineering and Computing embraces many applications of modern mathematics, such as Boolean Algebra and Sets and Functions, and also teaches both discrete and continuous systems  particularly vital for Digital Signal Processing (DSP). In addition, as most modern engineers are required to study software, material suitable for Software Engineering  set theory, predicate and prepositional calculus, language and graph theory  is fully integrated into the book.Excessive technical detail and language are avoided, recognising that the real requirement for practising engineers is the need to understand the applications of mathematics in everyday engineering contexts. Emphasis is given to an appreciation of the fundamental concepts behind the mathematics, for problem solving and undertaking critical analysis of results, whether using a calculator or a computer.The text is backed up by numerous exercises and worked examples throughout, firmly rooted in engineering practice, ensuring that all mathematical theory introduced is directly relevant to realworld engineering. The book includes introductions to advanced topics such as Fourier analysis, vector calculus and random processes, also making this a suitable introductory text for second year undergraduates of electrical, electronic and computer engineering, undertaking engineering mathematics courses.Dr Attenborough is a former Senior Lecturer in the School of Electrical, Electronic and Information Engineering at South Bank University. She is currently Technical Director of The Webbery  Internet development company, Co. Donegal, Ireland. Fundamental principles of mathematics introduced and applied in engineering practice, reinforced through over 300 examples directly relevant to realworld engineering
Table of contents
 Cover image
 Title page
 Table of Contents
 Copyright page
 Preface
 Acknowledgements

Part 1: Sets, functions, and calculus
 1. Sets and functions

2. Functions and their graphs
 2.1 Introduction
 2.2 The straight line: y = mx + c
 2.3 The quadratic function: y = ax2+bx+c
 2.4 The function y = 1/x
 2.5 The functions y = ax
 2.6 Graph sketching using simple transformations
 2.7 The modulus function, y = x or y = abs(x)
 2.8 Symmetry of functions and their graphs
 2.9 Solving inequalities
 2.10 Using graphs to find an expression for the function from experimental data
 2.11 Summary
 2.12 Exercises
 3. Problem solving and the art of the convincing argument
 4. Boolean algebra

5. Trigonometric functions and waves
 5.1 Introduction
 5.2 Trigonometric functions and radians
 5.3 Graphs and important properties
 5.4 Wave functions of time and distance
 5.5 Trigonometric identities
 5.6 Superposition
 5.7 Inverse trigonometric functions
 5.8 Solving the trigonometric equations sin x = a, cos x= a, tan x = a
 5.9 Summary
 5.10 Exercises
 6. Differentiation
 7. Integration
 8. The exponential function

9. Vectors
 9.1 Introduction
 9.2 Vectors and vector quantities
 9.3 Addition and subtraction of vectors
 9.4 Magnitude and direction of a 2D vector–polar coordinates
 9.5 Application of vectors to represent waves (phasors)
 9.6 Multiplication of a vector by a scalar and unit vectors
 9.7 Basis vectors
 9.8 Products of vectors
 9.9 Vector equation of a line
 9.10 Summary
 9.12 Exercises

10. Complex numbers
 10.1 Introduction
 10.2 Phasor rotation by π/2
 10.3 Complex numbers and operations
 10.4 Solution of quadratic equations
 10.5 Polar form of a complex number
 10.6 Applications of complex numbers to AC linear circuits
 10.7 Circular motion
 10.8 The importance of being exponential
 10.9 Summary
 10.10 Exercises
 11. Maxima and minima and sketching functions
 12. Sequences and series

Part 2: Systems
 13. Systems of linear equations, matrices, and determinants
 14. Differential equations and difference equations

15. Laplace and z transforms
 15.1 Introduction
 15.2 The Laplace transform – definition
 15.3 The unit step function and the (impulse) delta function
 15.4 Laplace transforms of simple functions and properties of the transform
 15.5 Solving linear differential equations with constant coefficients
 15.6 Laplace transforms and systems theory
 15.7 z transforms
 15.8 Solving linear difference equations with constant coefficients using z transforms
 15.9 z transforms and systems theory
 15.10 Summary
 15.11 Exercises
 16. Fourier series
 Part 3: Functions of more than one variable
 Part 4: Graph and language theory

Part 5: Probability and statistics

21. Probability and statistics
 21.1 Introduction
 21.2 Population and sample, representation of data, mean, variance and standard deviation
 21.3 Random systems and probability
 21.4 Addition law of probability
 21.5 Repeated trials, outcomes, and probabilities
 21.6 Repeated trials and probability trees
 21.7 Conditional probability and probability trees
 21.8 Application of the probability laws to the probability of failure of an electrical circuit
 21.9 Statistical modelling
 21.10 The normal distribution
 21.11 The exponential distribution
 21.12 The binomial distribution
 21.13 The Poisson distribution
 21.14 Summary
 21.15 Exercises

21. Probability and statistics
 Answers to exercises
 Index
Product information
 Title: Mathematics for Electrical Engineering and Computing
 Author(s):
 Release date: June 2003
 Publisher(s): Newnes
 ISBN: 9780080473406
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