John Bird, Antony May

Mathematics for Electrical Technicians (eBook, PDF)

Level 4-5

• Format: PDF

Produktbeschreibung

The definition and solution of engineering problems relies on the ability to represent systems and their behaviour in mathematical terms.

Mathematics for Electrical Technicians 4/5 provides a simple and practical guide to the fundamental mathematical skills essential to technicians and engineers. This second edition has been revised and expanded to cover the BTEC Higher - 'Mathematics for Engineers' module for Electrical and Electronic Engineering Higher National Certificates and Diplomas. It will also meet the needs of first and second year undergraduates studying electrical engineering.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 512
• Erscheinungstermin: 21. Januar 2014
• Englisch
• ISBN-13: 9781317892434
• Artikelnr.: 40438910

Autorenporträt

John Bird, Antony May

Inhaltsangabe

1. Revision of methods of differentiation. 2. Solution of equations by
iterative methods. 3. Partial fractions. 4. Matrix arithmetic and the
determinant of matrix. 5. The general properties of 3 by 3 determinants and
the solution of simultaneous equations. 6. Maclaurin's and Taylor's series.
7. Complex numbers. 8. De Moivre's theorem. 9. Hyperbolic functions. 10.
The relationship between trigonometric and hyperbolic functions and
hyperbolic indentities. 11. Differentiation of implicit functions. 12.
Differentiation of functions defined parametrically. 13. Logarithmic
differentiation. 14. Differentiation of inverse trigonometric and inverse
hyperbolic functions. 15. Partial differentiation. 16. Total differential,
rates of change and small changes. 17. Revision of basic integration. 18.
Integration using substitutions. 19. Integration using partial fractions.
20. The t=tan 0/2 substitution. 21. Integration by parts. 22. First order
differential equations by separation of variables. 23. Homogenous first
order differential equations. 24. Linear first order differential
equations. 25. The solutions of linear second order differential equations
of the form a(d2y/dx2) + b(dy/dx) + cy = 0. 26. The solution of linear
order differential equations of the form a(d2y/dx2) + b(dy/dx) + cy = f(x).
27. The Fourier series for periodic functions of the period 2n . 28. The
Fourier series for a non-periodic function over a range 2nx. 29. The
Fourier series for even and odd functions and half range series. 30.
Fourier series over any range. 31. A numerical method of harmonic analysis.
32. Introduction to Laplace transforms. 33. Properties of Laplace
transforms. 34. Inverse Laplace transforms and the use of Laplace
transforms to solve differential equations.