Mathematics for electrical engineering and computing [electronic resource] Mary Attenborough

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Preface. -- Acknowledgement. -- Sets, functions and calculus: -- Sets and Functions. -- Functions and their graphs. -- Problem solving and the art of the convincing argument. -- Boolean algebra. -- Trigonometric functions and waves. -- Differentiation. -- Integration. -- The exponential function. -- Vectors. -- Complex numbers. -- Maxima and minima and sketching functions. -- Sequences and series. -- Systems: -- Systems of linear equations, matrices and determinants. -- Ordinary differential equations and difference equations. -- Laplace and z transforms. -- Fourier series. -- Functions of more than one variable: -- Functions of more than one variable. -- Vector calculus. -- Graph and Language Theory: -- Graph Theory. -- Language Theory. -- Probability and Statistics: -- Probability and Statistics. -- Answers to Exercises. -- Index

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 <A HREF=http://books.elsevier.com/companions/9780750658553>companion website</a> 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, <A HREF=http://textbooks.elsevier.com>http://textbooks.elsevier.com</a> 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