Mathematics for Electrical Engineering and Computing

Mary P Attenborough PhD9780750658553, 0-7506-5855-X

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 real-world 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. The book is supported with a number of free online resources . On the companion website readers will find: * over 60 pages of “Background Mathematics” reinforcing introductory material for revision purposes in advance of your first year course * plotXpose software (for equation solving, and drawing graphs of simple functions, their derivatives, integrals and Fourier transforms) * problems and projects (linking directly to the software) In addition, for lecturers only, http://textbooks.elsevier.com features a complete worked solutions manual for the exercises in the book. 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 real-world engineering * Over 60 pages of basic revision material available to download in advance of embarking on a first year course * Free website support, featuring complete solutions manual, background mathematics, plotXpose software, and further problems and projects enabling students to build on the concepts introduced, and put the theory into practice

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Table of contents :
Cover……Page 1
Contents……Page 6
Preface……Page 12
Acknowledgements……Page 13
Sets and Functions……Page 16
Functions and their Graphs……Page 39
Problem solving and the art of the convincing Argument……Page 69
Boolean Algebra……Page 88
Trigonometric Functions and Waves……Page 100
Differentiation……Page 128
Integration……Page 144
The Exponential Function……Page 174
Vectors……Page 200
Complex Numbers……Page 218
Maxima and Minima and Sketching Functions……Page 249
Sequences and Series……Page 266
System of Linear Equations, Matrices, and Determinants……Page 307
Differential Equations and Difference Equations……Page 358
Laplace and Z Transforms……Page 394
Fourier Series……Page 430
Functions of More than one Variable……Page 447
Vector Calculus……Page 458
Graph Theory……Page 473
Language Theory……Page 491
Probability and Statistics……Page 505
Answers to Exercises……Page 545
Index……Page 554