Аналитическая геометрия и линейная алгебра. Умнов А.Е. - 325 стр.

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 ÏÓÈËÓÒË ȯäËÓÈ
arg z
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㫯Ӻº ãÈ
ϕ
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°¯Ëã}Ò
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zi=+
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                                                                                             α = 0     α = 0
               }ºˆº¯È«}È}ãË}ºmÒˈ ÒäËˈmÈ¯Ë ËÓÒ«                                       Ò         ºªˆºä‚Ò°
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                                                                                                               1
                         0
               z2 =        = 0 + (−1)i = −i 
                        −1
          
          
          
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                                                                α                  β
                      z = α + βi = α 2 + β 2 (                            +                  i ) = ρ (cos ϕ + i sin ϕ ) 
                                                            α2 + β2            α2 + β2
                                                                         
          
        ‘¯ÒºÓºäˈ¯ÒË°}È« Áº¯äÈ ÏȹҰÒ }ºä¹ãË}°Ó©² Ò°Ëã °ººˆmˈ°ˆm‚ˈ ÏÈÈÓÒ 
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‚°ˆ                                                              Im z 

                                                                  
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               1                             
          g1 =    
               0                             ρ
                                             
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          ãË}°ÓººÒ°ãÈ z ¯ÈmÓº ρ  g 2 ϕ
          ¯È°°ˆº«ÓÒ  ºˆ ÓÈÈãÈ }ºº¯ 
          ÒÓȈ º ˆº}Ò ÒϺ­¯ÈÎÈ   g α Re z 
                                                                                       1
          Ë®ÈÓÓºËÒ°ãº
                                             
       ÏÓÈËÓÒË ȯ‚äËӈÈ       arg z  
          °ºm¹ÈÈˈ ° mËãÒÒÓº® ¹º 
          㫯Ӻº ‚ãÈ ϕ ºˆ°҈© èqxytvr¯
          mÈË人     ¹¯ºˆÒm    È°ºmº®
          °ˆ¯Ëã}Ò
      
ˆºÈ °ºãÈ°Óº º¹¯ËËãËÓÒ  ¯ }ºä¹ãË}°ÓºË Ұ㺠z = α + β i  ¹¯Ë°ˆÈmÒäº m
ˆ¯ÒºÓºäˈ¯ÒË°}º®Áº¯äË z = ρ (cos ϕ + i sin ϕ ) 




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