[腦力大挑戰] Mathematical analysis BB班

Elias 2017-12-4 10:53:51

Physics嗰啲無睇唔評論

-1/12嗰條講啲唔講啲我覺得好反感
佢好似係講緊啲唔知乜鬼特別summability/summation （我無學）
但又無清楚講明
結果一個正常學過convergence嘅觀眾會覺得佢哋喺度唔知做乜鳩

:^(

無學過真心唔知
:^(

佢將啲divergent series搞嚟搞去呢種做法我接受唔到
:^(

:^(

:^(

通常話assume converge再搞一大輪係比局外人睇
summability 呢個概念好似係d 咩special functions, harmonic analysis 有用
例如 sum (-1)^n "=" 0 實質上係想講 lim sum_N [(-1)^n]/n = 0
好似仲有一門野係專搞呢D divergent series 比D summability 的意義比佢地, 不過我唔太清楚詳細係點

:^(

會考都無C 2017-12-4 10:55:29

Physics嗰啲無睇唔評論

-1/12嗰條講啲唔講啲我覺得好反感
佢好似係講緊啲唔知乜鬼特別summability/summation （我無學）
但又無清楚講明
結果一個正常學過convergence嘅觀眾會覺得佢哋喺度唔知做乜鳩

:^(

無學過真心唔知
:^(

佢將啲divergent series搞嚟搞去呢種做法我接受唔到
:^(

:^(

:^(

通常話assume converge再搞一大輪係比局外人睇
summability 呢個概念好似係d 咩special functions, harmonic analysis 有用
例如 sum (-1)^n "=" 0 實質上係想講 lim sum_N [(-1)^n]/n = 0
好似仲有一門野係專搞呢D divergent series 比D summability 的意義比佢地, 不過我唔太清楚詳細係點
:^(

等睇呢個post啲數撚出手

:^(

Elias 2017-12-4 11:55:07

Physics嗰啲無睇唔評論

-1/12嗰條講啲唔講啲我覺得好反感
佢好似係講緊啲唔知乜鬼特別summability/summation （我無學）
但又無清楚講明
結果一個正常學過convergence嘅觀眾會覺得佢哋喺度唔知做乜鳩

:^(

無學過真心唔知
:^(

佢將啲divergent series搞嚟搞去呢種做法我接受唔到
:^(

:^(

:^(

通常話assume converge再搞一大輪係比局外人睇
summability 呢個概念好似係d 咩special functions, harmonic analysis 有用
例如 sum (-1)^n "=" 0 實質上係想講 lim sum_N [(-1)^n]/n = 0
好似仲有一門野係專搞呢D divergent series 比D summability 的意義比佢地, 不過我唔太清楚詳細係點
:^(

等睇呢個post啲數撚出手
:^(

sum (-1)^n 唔係-1/2咩 by consdering Cesàro summation
:^(

雞同鴨講
Cesaro sum 係average of partial sum
我講緊係average of terms

:^(

兩種唔同的意義 ~
所以要講清楚個interpretation係乜

栗悟飯和龜派氣功 2017-12-4 11:55:47 CS底，讀緊real analysis 睇唔明rudin

:^(

Elias 2017-12-4 11:57:29

CS底，讀緊real analysis 睇唔明rudin
:^(

:^(

咩topic?

栗悟飯和龜派氣功 2017-12-4 11:59:06

CS底，讀緊real analysis 睇唔明rudin
:^(

:^(

咩topic?

sequence 果個chapter （chapter 3）開始覺得好難

:^(

Elias 2017-12-4 11:59:57

CS底，讀緊real analysis 睇唔明rudin
:^(

:^(

咩topic?

sequence 果個chapter （chapter 3）開始覺得好難
:^(

開頭係咁
唔慣寫epsilon N姐

栗悟飯和龜派氣功 2017-12-4 12:07:44

CS底，讀緊real analysis 睇唔明rudin
:^(

:^(

咩topic?

sequence 果個chapter （chapter 3）開始覺得好難
:^(

開頭係咁
唔慣寫epsilon N姐

其實使唔使睇明佢d proof，我覺得佢skip 左好多steps

Elias 2017-12-4 12:09:44

CS底，讀緊real analysis 睇唔明rudin
:^(

:^(

咩topic?

sequence 果個chapter （chapter 3）開始覺得好難
:^(

開頭係咁
唔慣寫epsilon N姐

其實使唔使睇明佢d proof，我覺得佢skip 左好多steps

睇bartle啦，d steps無咁跳躍，明左bartle 之後睇番rudin唔會覺得太難

栗悟飯和龜派氣功 2017-12-4 12:16:38

CS底，讀緊real analysis 睇唔明rudin
:^(

:^(

咩topic?

sequence 果個chapter （chapter 3）開始覺得好難
:^(

開頭係咁
唔慣寫epsilon N姐

其實使唔使睇明佢d proof，我覺得佢skip 左好多steps

睇bartle啦，d steps無咁跳躍，明左bartle 之後睇番rudin唔會覺得太難

巴打覺得Ross/Pugh/Abbott 點，依家有有依三本+rudin

:^(

Elias 2017-12-4 12:18:55

CS底，讀緊real analysis 睇唔明rudin
:^(

:^(

咩topic?

sequence 果個chapter （chapter 3）開始覺得好難
:^(

開頭係咁
唔慣寫epsilon N姐

其實使唔使睇明佢d proof，我覺得佢skip 左好多steps

睇bartle啦，d steps無咁跳躍，明左bartle 之後睇番rudin唔會覺得太難

巴打覺得Ross/Pugh/Abbott 點，依家有有依三本+rudin
:^(

:^(

三本都未睇過

:^(

埃根大師 2017-12-4 12:19:25 睇緊Anysis With an Introduction to proof

Rudin 同Apostol嗰本太難𠼰

:^(

忒修斯之船 2017-12-4 12:20:33

CS底，讀緊real analysis 睇唔明rudin
:^(

:^(

咩topic?

sequence 果個chapter （chapter 3）開始覺得好難
:^(

開頭係咁
唔慣寫epsilon N姐

其實使唔使睇明佢d proof，我覺得佢skip 左好多steps

睇bartle啦，d steps無咁跳躍，明左bartle 之後睇番rudin唔會覺得太難

巴打覺得Ross/Pugh/Abbott 點，依家有有依三本+rudin
:^(

:^(

三本都未睇過
:^(

:^(

:^(

左頌星 2017-12-4 12:20:56 analysia 撚係最強邏輯人

:^(

會考都無C 2017-12-4 12:21:07

睇緊Anysis With an Introduction to proof

Rudin 同Apostol嗰本太難𠼰
:^(

Apostol唔算難哽

:^(

佢好多嘢都有寫出嚟，個flow算唔錯

:^(

相比rudin同Princeton lecture in analysis就難哽得多

:^(

栗悟飯和龜派氣功 2017-12-4 12:28:24

CS底，讀緊real analysis 睇唔明rudin
:^(

:^(

咩topic?

sequence 果個chapter （chapter 3）開始覺得好難
:^(

開頭係咁
唔慣寫epsilon N姐

其實使唔使睇明佢d proof，我覺得佢skip 左好多steps

睇bartle啦，d steps無咁跳躍，明左bartle 之後睇番rudin唔會覺得太難

巴打覺得Ross/Pugh/Abbott 點，依家有有依三本+rudin
:^(

:^(

三本都未睇過
:^(

:^(

:^(

Elias 2017-12-4 12:35:12

CS底，讀緊real analysis 睇唔明rudin
:^(

:^(

咩topic?

sequence 果個chapter （chapter 3）開始覺得好難
:^(

開頭係咁
唔慣寫epsilon N姐

其實使唔使睇明佢d proof，我覺得佢skip 左好多steps

睇bartle啦，d steps無咁跳躍，明左bartle 之後睇番rudin唔會覺得太難

巴打覺得Ross/Pugh/Abbott 點，依家有有依三本+rudin
:^(

:^(

三本都未睇過
:^(

:^(

:^(

:^(

Elias 2017-12-4 12:37:11

睇緊Anysis With an Introduction to proof

Rudin 同Apostol嗰本太難𠼰
:^(

Apostol唔算難哽
:^(

佢好多嘢都有寫出嚟，個flow算唔錯
:^(

相比rudin同Princeton lecture in analysis就難哽得多
:^(

apostol好friendly喎, 係dry d姐

:^(

"Princeton lecture in analysis" 指stein and shakarchi? 呢set唔算難喎, 唔計後面d problems

:^(

栗悟飯和龜派氣功 2017-12-4 12:37:43

CS底，讀緊real analysis 睇唔明rudin
:^(

:^(

咩topic?

sequence 果個chapter （chapter 3）開始覺得好難
:^(

開頭係咁
唔慣寫epsilon N姐

其實使唔使睇明佢d proof，我覺得佢skip 左好多steps

睇bartle啦，d steps無咁跳躍，明左bartle 之後睇番rudin唔會覺得太難

巴打覺得Ross/Pugh/Abbott 點，依家有有依三本+rudin
:^(

:^(

三本都未睇過
:^(

:^(

:^(

:^(

:^(

Elias 2017-12-4 12:40:23

CS底，讀緊real analysis 睇唔明rudin
:^(

:^(

咩topic?

sequence 果個chapter （chapter 3）開始覺得好難
:^(

開頭係咁
唔慣寫epsilon N姐

其實使唔使睇明佢d proof，我覺得佢skip 左好多steps

睇bartle啦，d steps無咁跳躍，明左bartle 之後睇番rudin唔會覺得太難

巴打覺得Ross/Pugh/Abbott 點，依家有有依三本+rudin
:^(

:^(

三本都未睇過
:^(

:^(

:^(

:^(

:^(

:^(

栗悟飯和龜派氣功 2017-12-4 12:41:04

CS底，讀緊real analysis 睇唔明rudin
:^(

:^(

咩topic?

sequence 果個chapter （chapter 3）開始覺得好難
:^(

開頭係咁
唔慣寫epsilon N姐

其實使唔使睇明佢d proof，我覺得佢skip 左好多steps

睇bartle啦，d steps無咁跳躍，明左bartle 之後睇番rudin唔會覺得太難

巴打覺得Ross/Pugh/Abbott 點，依家有有依三本+rudin
:^(

:^(

三本都未睇過
:^(

:^(

:^(

:^(

:^(

:^(

thanks, 試下先

Elias 2017-12-4 13:25:09 一講到 Lebesgue Integral 就好撚正

:^(

算子代數 2017-12-4 13:29:40

一講到 Lebesgue Integral 就好撚正
:^(

基本上所有現代數學都係用lebesgue integral, 興趣邊範都應該學吓。

Edelschwarz 2017-12-4 23:19:33

Physics嗰啲無睇唔評論

-1/12嗰條講啲唔講啲我覺得好反感
佢好似係講緊啲唔知乜鬼特別summability/summation （我無學）
但又無清楚講明
結果一個正常學過convergence嘅觀眾會覺得佢哋喺度唔知做乜鳩

:^(

無學過真心唔知
:^(

佢將啲divergent series搞嚟搞去呢種做法我接受唔到
:^(

:^(

:^(

通常話assume converge再搞一大輪係比局外人睇
summability 呢個概念好似係d 咩special functions, harmonic analysis 有用
例如 sum (-1)^n "=" 0 實質上係想講 lim sum_N [(-1)^n]/n = 0
好似仲有一門野係專搞呢D divergent series 比D summability 的意義比佢地, 不過我唔太清楚詳細係點
:^(

等睇呢個post啲數撚出手
:^(

sum (-1)^n 唔係-1/2咩 by consdering Cesàro summation
:^(

雞同鴨講
Cesaro sum 係average of partial sum
我講緊係average of terms
:^(

兩種唔同的意義 ~
所以要講清楚個interpretation係乜

乜鳩嚟

:^(

我淨係聽過analytic continuation

:^(