Mathematics for electrical engineering and computing
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...
| Autor principal: | |
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Oxford ; Burlington, MA :
Newnes
2003.
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| Edición: | 1st edition |
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009628126206719 |
Tabla de Contenidos:
- Cover; Front matter; Half Title Page; Title Page; Copyright; Contents; Preface; Acknowledgements; Part 1: Sets, functions, and calculus; 1. Sets and functions; 1.1 Introduction; 1.2 Sets; 1.3 Operations on sets; 1.4 Relations and functions; 1.5 Combining functions; 1.6 Summary; 1.7 Exercises; 2. Functions and their graphs; 2.1 Introduction; 2.2 The straight line: y=mx+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; 3.1 Introduction; 3.2 Describing a problem in mathematical language; 3.3 Propositions and predicates; 3.4 Operations on propositions and predicates; 3.5 Equivalence; 3.6 Implication; 3.7 Making sweeping statements; 3.8 Other applications of predicates; 3.9 Summary; 3.10 Exercises; 4. Boolean algebra; 4.1 Introduction; 4.2 Algebra; 4.3 Boolean algebras; 4.4 Digital circuits; 4.5 Summary; 4.6 Exercises
- 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=1, cos x=a, tan x=a; 5.9 Summary; 5.10 Exercises; 6. Differentiation; 6.1 Introduction; 6.2 The average rate of change and the gradient of a chord; 6.3 The derivative function; 6.4 Some common derivatives; 6.5 Finding the derivative of combinations of functions
- 6.6 Applications of differentiation 6.7 Summary; 6.9 Exercises; 7. Integration; 7.1 Introduction; 7.2 Integration; 7.3 Finding integrals; 7.4 Applications of integration; 7.5 The definite integral; 7.6 The mean value and r.m.s. value; 7.7 Numerical Methods of Integration; 7.8 Summary; 7.9 Exercises; 8. The exponential function; 8.1 Introduction; 8.2 Exponential growth and decay; 8.3 The exponential function y=et; 8.4 The hyperbolic functions; 8.5 More differentiation and integration; 8.6 Summary; 8.7 Exercises; 9. Vectors; 9.1 Introduction; 9.2 Vectors and vector quantities
- 9.3 Addition and subtraction of vectors 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 p/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
