Complex Numbers

Klappentext
This book examines the fundamentals of complex numbers and complex number algebra. It then explains the use of complex numbers to represent phases in AC theory and the significance of their occurrence in the poles and zeros of transfer functions.




Inhalt
1. Introducing complex numbers: in roots of quadratic equations, in terms of the the number line and rotation, Argand diagram, Cartesian form, polar form.
2. Complex number algebra: addition, subtraction, multiplication and division.
3. Phasors: discussion of basic a.c. theory in terms of complex numbers.
4. The exponential function: the exponential form of complex numbers, sines, cosines, cosh and sinh. Exponential form for phasors, transmission line examples. 5. De Moivre's theorem: use of the theorem.
6. Loci: loci and regions of the complex plane.

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