Аналитическая геометрия и линейная алгебра. Умнов А.Е. - 348 стр.

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                                ε ijk = (−1) ï (i , j , k )    Ë°ãÒ°¯ËÒÒ°Ëã i , j , k Óˈ¯ÈmÓ©²
                                ε ijk = 0                     mº°ˆÈã Ó©²°ã‚È«²
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                             ε lmn
                                ′ = σ li σ mj σ nk εijk = σ l1σ m2 σ n 3 + σ l 2 σ m3σ n1 + σ l 3σ m1σ n 2 −
                                                             − σ l1σ m3σ n 2 − σ l 2 σ m1σ n 3 − σ l 3σ m2 σ n1 = 
                                                                   σ l1 σ l 2          σ l3
                                                             = det σ m1 σ m2           σ m3       ,
                                                                   σ n1 σ n 2          σ n3
                                           
ˆºm°mº º˯Ë ¹º°mº®°ˆmÈ亹¯ËËã҈Ëã«Èˈ
                          ′ = (−1) ï (l , m, n )  Ë°ãÒ°¯ËÒÒ°Ëãl,m,nÓˈ¯ÈmÓ©²
                          ε lmn
                        ε ′ lmn = 0             mº°ˆÈã Ó©²°ã‚È«²
            
                    σ 11 σ 12                         σ 13
¹º°}ºã }‚ äȈ¯ÒÈ σ 21 σ 22                         σ 23  º¯ˆººÓÈã ÓÈ« }È} äȈ¯ÒÈ ¹Ë¯Ë²ºÈ ºˆ ºÓºº
                    σ 31 σ 32                         σ 33
º¯ˆºÓº¯äÒ¯ºmÈÓÓºº­ÈÏÒ°È}¯‚ºä‚ ÒË˺¹¯ËËã҈Ëã ¯ÈmËÓ±
        
        º°}ºã }‚º­žË}ˆ εijk mÓºmºä¹¯ºÒÏmºã Ӻ亯ˆºÓº¯äÒ¯ºmÈÓÓºä­ÈÏÒ°ËÒäËˈ
 ¹¯Ò Ò°¹ºã ϺmÈÓÓ©² ¹¯ÈmÒãȲ ¹¯Ëº­¯ÈϺmÈÓÒ«  ˆË ÎË }ºä¹ºÓËӈ© ˆº Ò m Ò°²ºÓºä
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       º}ÈÎËä ˆË¹Ë¯  °m«Ï  ˆËÓϺ¯Óºº ¹¯ºÒÏmËËÓÒ« ªãËäËӈºm ¹¯º°ˆ¯ÈÓ°ˆmÈ E 3  Ò
¹¯ºÒÏmËËÓÒ® mË}ˆº¯ºm mmËËÓÓ©² m ÈÓÓºä ¹º°º­ÒÒ °ä ¹ Ò ¹  {°Ë ­ÈÏÒ°©
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