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: $B652J=q(B : kaiseki1-2000-syllabus : $B9V5A35MW(B

$B

$BBh(B 1 $B2s(B
${\bf R}^n$ $B$N0LAjE*@-R2p$9$k(B
$BBh(B 2 $B2s(B
$BB?JQ?t4X?t$N6K8B(B
$BBh(B 3 $B2s(B
$BO"B34X?t$NDj5A$H$=$N4pK\E*$J@-
$BBh(B 4 $B2s(B
$BHyJ,$NDj5A$H0UL#(B -- 1 $B
$BBh(B 5 $B2s(B
$B9g@.4X?t$NHyJ,K!(B --$BO":?N'!$5U4X?t!&1"4X?t$NHyJ,$N8x<0!$6K:BI8(B
$BBh(B 6 $B2s(B
$BHyJ,$N7W;;K!$H0UL#(B -- grad $B$N4v2?3XE*0UL#!$Ey9bLL$N@\J?LL$HK!%Y%/%H%k!$J}8~HyJ,(B $B$H$N4X78(B
$BBh(B 7 $B2s(B
$BB?JQ?t(B $2$ $B
$BBh(B 8 $B2s(B
$BJ?6QCM$NDjM}!$(BTaylor $B$NDjM}(B -- Lagrange $B$N>jM>9`!$M-8BA}J,$N8x(B $B<0!$B?=E;X?t$N5-K!(B
$BBh(B 9 $B2s(B
$B6KBg!&6K>.LdBj(B -- $B!VFbE@$G6KCM(B $\Rightarrow$ $BDdN1E@!W!$(BHesse $B9TNs$N2r@O$K(B $B$h$kH=Dj(B
$BBh(B 10 $B2s(B
$B1"4X?tDjM}$H5U4X?tDjM}(B (1) -- $BFs$D$NDjM}$N0UL#$HF1CM@-(B
$BBh(B 11 $B2s(B
$B1"4X?tDjM}$H5U4X?tDjM}(B (2) -- $BDjM}$N>ZL@$HNc$NDI2C(B
$BBh(B 12 $B2s(B
$B>r7oIU$-6KBg6K>.LdBj(B -- Lagrange $B$NL$Dj>h?tK!(B
$BBh(B 13 $B2s(B
$B$^$H$a(B



Masashi Katsurada $BJ?@.(B12$BG/(B10$B7n(B27$BF|(B