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, 1 ( 1- 4).
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, ( 6):
| z | =| z |, rg ( z) = p + rg z.
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(1) .
1.2.7) (2) .
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1.3
1.3.1
z 1 = 2 3 i, z 2 = 1 + i. :
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.
.
) z1 z 2 , , 1.2.2.
z 3 = z 1 + 2 z 2 = (2 3 i) + 2(1 + i) = 2 3 i 2 +2 i = i;
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, . z 1 Z1(2; 3) ( 9), z 2 .
2 z 2 , + .
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3) :
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z = = .
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: z = .
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j = = p + a = .
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(),
j = = = 3,14 0,46= 2,68 ().
z =
z = ,
z = .
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= = = .
1.3.4
z 1 = z 2 = .
: ) z 1. z 2; ) z 110; ) .
) , : , . , ( 1.2.8), , .
= , w 1= w 2 = 1+ i , ( 1.2.3):
z 1 = =
i.
z 1:
z 1 = .
.
.
, ( 1.2.7, 1.3.3). , ( 17). , , , ,
j1 = arg z 1 = .
z 1 = = .
: z 2 = , : 3 , , cosj sinj:
.
, : , ( 1.2.8),
z 1. z 2 = . () =
= . =
= .
z 1. z 2 = 1,55 5,8 i
( ).
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=
.
1024 i.
) . ,
z 1 = =
, ( 1.2.5), :
= .
z 2 = , ( 1.2.8):
=
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) . , , z ( , ), . , , .
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(x + iy) 3 2 i = 0.
( 3) + ( 2) i = 0 + 0 i.
( 1.2.2), , .
, : = 2. :
= +3, (... ³ 3), 2 + 2 = ( + 3)2,
2 + 2 = 2 + 6 + 9, 2 = 6 + 9.
= 2,
4 = 6 + 9, 6 = 5, = .
, z. , z = 2 i. 20.
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1. w
.
2. :
.
3. , k = 0, 1, 2, , n 1.
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j = arg w = = .
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w
k = 0, 1, 2.
k = 0,
.
k = 1 .
, k = 2 .
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.
1.3.6
?
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= .
, . z 1 z 2.
,