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Vektor va tenzor tahlil (U.Dalaboyev)
3. Vektor niaydon oqimi..........................................
28
3.1 Suyuqlikning oqimi masalasi.................................
29
3.2 Oqim tushunchasi va uning yozilish shakllari.......
31
3.3 Oqimni hisoblash.................................................... -33
3.4 Vektor maydon divergensiyasi...............................
36
3.5 Yopiq sirt bo‘yicha oqimning fizik ma’nosi.........
37
3.6 Ostrogradskiy - Gauss formulasi............................
38
3.7 Divergensiyaning invariant ta'rifi..........................
43
4. Vektor maydonidagi chiziqli integral.................
46
4.1 Kuch maydoni bajargan ish....................................
46
4.2 Chizli integral tushunchasi va uning xossalari......
47
4.3 Chiziqli integralni hisoblash..................................
48
4.4 Vektor maydon umnmasi......................................
52
4.5 Grin va Stoks formulalari......................................
53
4.6 Rotoming invariant ta'rifi......................................
59
4.7 Rotoming fizik manosi..........................................
60
4.8 Chiziqli integralning integrallash yo‘liga bog‘liq
boMmaslik sharti.....................................................
60
5. Maxsus vektor maydonlar. Vektor maydon-
ning takroriy amallari. Nabla operatori..........
66
5.1 Potensial maydon...................................................
66
5.2 Solenoidal maydon..................................................
69
5.3 Garmonik maydon...................................................
72
5.4 Vektor maydonning takroriy amallari....................
74
5.5 Nabla operatori........................................................
75
157
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