Title | Wykład całki potrójne |
---|---|
Course | Matematyka |
Institution | Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie |
Pages | 9 |
File Size | 555.1 KB |
File Type | |
Total Downloads | 2 |
Total Views | 129 |
wykład z całek potrójnych...
!"#$#%$&'$#!$( ≤≤≤≤≤≤ ≤≤ ! ! !" ∆∆∆≤≤ = ( ∆ )# + ( ∆ )# + ( ∆ )# $%&! ≤≤ δ'≤≤ Ξ = { ∗ ∗ ∗ #∗ #∗ #∗… ∗ ∗ ∗ }% ∗ ∗ ∗ ∈ ≤≤())*
)&+,-×,-×,-
**+!"#$'%, #$#%$&'$#!$(- .*/ ("%0") !/ /
∫∫∫ =
2
δ →1
∑
∗
∗ ∗ ∆ ∆ ∆
=
2% ) 23() ()()* Ξ4)3 / 2 0" ) ! / 3 (2 ∫∫∫
."'*+$!"$//" 01! - 5 !% 2
**2+$3$$(!"- 632/ !2∈ / 7 2
∫∫∫( + ) = ∫∫∫ + ∫∫∫
(/ 2 ∫∫∫ = ∫∫∫
**4+$)')$(1356$7&%/!"$- 632 / 2 2 2% !*"*/ 2 ∫∫∫ = ∫∫∫ + ∫∫∫
#
**8+$6!"#$'%, !"5'%$0- 632/ !% ≤ ≤ ≤ ≤ ≤ ≤ = ∫∫∫ ∫ ∫ ∫ +3 (" 3 % )2!!"! & )* 0"! ∫ ∫ ∫
∫ ∫ ∫
+(! " 2 * * 8 2 * () 2 2 & (2 ) ."'*9+!"/" $%$3$):6):- 632 / !%2,- #/ !%2,- 9/ !%2,- = ⋅ ⋅ ∫∫∫ ∫ ∫ ∫ %,-×,-×,- ;?=
**+!"#$'%, #$$7&%- .*/ ("/ !%!(% ⊂ * (" 2 ! ( + * / 2 ∈ ∗ = ∈ 9 : 1 0") !/ (/
∫∫∫ =
∫∫∫
∗
2 ) 4) 3 / 2( 0 ∫∫∫ ∗ 23(
**+$7&%)$%631356#!&)/"!/- ;(2%2"() = { ∈ ≤ ≤ } % (%2...