Pure mathematics: Complex numbers, Volume 3

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Pass Publications, 2007 - Numbers, Complex - 89 pages
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Contents

Definition of a Complex Number
1
Plotting a Complex Numbers in an Argand Diagram
3
The Sum and Difference of two Complex Numbers
6
Determines the product of two Complex Numbers in the Quadratic form
8
Defines the Conjugate of a Complex Number
10
Determines the Quotient of two Complex Numbers
12
Defines the Modulus and Argument of Complex Numbers
14
Converts the Cartesian form x + yi into polar form
15
Relates Hyperbolic and Trigonometric functions
34
The logarithm of a negative number
37
The roots of equations
39
Loci
48
Complex form of a circle and straight line
54
Transformations from a ZPlane to a WPlane employing
55
Miscellaneous 6168
61
Additional Examples with Solutions 6973
69

Multiplies and divides Comples Numbers using the polar form
18
Defines the Exponential form of a Complex Number
22
Determines the square roots of Complex Number
24
Proof of De Moivres Theorem by induction and otherwise
26
Expands cos nθ sin nθ and tan nθ where n is any positive integer
28
Application of De Moivres Theorem
30
Multiple choice questions 7477
74
Recapitulation or summary
78
Answers 7985
79
Index 8687
86
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