Title | Wykład całka krzywoliniowa i szeregi Fouriera |
---|---|
Course | Matematyka |
Institution | Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie |
Pages | 6 |
File Size | 408.5 KB |
File Type | |
Total Downloads | 57 |
Total Views | 165 |
wykład z całki krzywoliniowej oraz szeregów Fouriera...
= = ∈ α β ∈ ([α β ]) = !"#" ∧
( ) = +
∧
∧
+ →
" →
∧
∧
∧
= + +
$%&"' " = ( ⇒ = ( )*' " % "')&' )" ' " β +" = − = − − = − ∈ − β −α α = −
$% "), % ''% α = β )
-'.('"./" /")/") $%"/ . . "." ) + $%"/ . . "." ) − + 0 - 0 ∈α β )". 1 0 = 1 0 = 1 0 = 0
2 " ⇔ ∈ α β
( & 3 &"/ 1( + 1( + 1( > 0 ∀ ∈α β -!&)!#",)/.' " /
!"#!$ $
2
β
3
42" →
∈ 5
∆ α
•
).%'% =( ! )"/
•
". σ = ∑ ⋅ ∆
•
=
$% → ∞ 6 ∆ → 0 " σ !""/ →∞ =
→∞
' /.. ∫
7 " " /)"." σ ".' "
∫ = ∫ −
$! 2 ∈
β 1( 1( 1( ∫ = ∫ ⋅ + +
α
= " π π 8/#'. = ∫ ( = " ∈ : 9 = (
8% " ∈ !""# ' '.) π 1 = −" 1 = " 1 = (
π
π
;) π
π π
− " ( " ( 9 + = ∫ ( " ⋅" ⋅ ( " + " + 9 = ( < ∫ ⋅" ( = ( < = ( 9 π π π 9
9
(
:
=
(
:...