Mathematics for Electrical Technicians
Level 4-5
2nd Edition
Published on 21. January 2014
512 pages
978-1-317-89243-4 (ISBN)
Description
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.
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.
More details
Edition
2nd edition
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Edition type
Revised edition
File size
6,52 MB
ISBN-13
978-1-317-89243-4 (9781317892434)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Book
04/2015
2nd Edition
Routledge
€188.00
Shipment within 10-20 days
Book
08/1994
2nd Edition
Longman
€123.90
Shipment within 10-20 days
Persons
John Bird, Antony May
Content
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.
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.
