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Mathematics For Electrical Engineering & Computing
Paperback Edition: 1
This title provides a comprehensive, introductory mathematics textbook designed to cater for all mathematical needs of electrical and electronic, computing and software engineering students undertaking a first year course. Excessive technical detail and language is avoided, as the author recognizes that the real requirement for
practising engineers is the need to understand the applications of mathematics in everyday engineering contexts.All mathematical theory introduced is directly relevant to real-world engineering, taking the approach that the underlying mathematical concepts and their application to engineering practice are more important than training students in mathematical theory alone, while emphasis is given to an appreciation of the fundamental concepts behind the mathematics, which students need in order to solve problems and to be able to undertake a critical analysis of the results they obtain. Excessive technical detail and language is avoided, (for example, teaching complicated differentiation and integration problems), recognising that the real requirement for practising engineers is the need to understand the applications of mathematics in everyday engineering contexts.The text is backed up by numerous exercises and worked examples throughout, firmly rooted in engineering practice. The content embraces many applications of modern mathematics, such as Boolean Algebra, Sets and Functions, and also teaches both discrete and continuous systems - particularly vital for Digital Signal Processing (DSP). In addition, material suitable for Software Engineering - set theory, predicate and prepositional calculus, graph theory - is also fully integrated into the book.
Contents:
Part 1 - 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. Part 2 - systems: Systems of linear equations, matrices and determinants; Ordinary differential equations and difference equations; Laplace and z transforms; Fourier series. PART 3 - Functions of more than one variable: Functions of more than one variable; Vector calculus. PART 4 - Graph and language theory: Graph Theory; Language Theory. Part 5 - probability and statistics: Probability and Statistics.
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Contents:
Part 1 - 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. Part 2 - systems: Systems of linear equations, matrices and determinants; Ordinary differential equations and difference equations; Laplace and z transforms; Fourier series. PART 3 - Functions of more than one variable: Functions of more than one variable; Vector calculus. PART 4 - Graph and language theory: Graph Theory; Language Theory. Part 5 - probability and statistics: Probability and Statistics.
Pages : 550
Publisher : Newnes
Publication date : 2003-06-30
Subjects: Non-fiction, Published in the USA, Science And Technology, Engineering, Maths For Engineers