[腦力大挑戰] Mathematical analysis BB班

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2017-12-04 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
2017-12-04 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
2017-12-04 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
2017-12-04 11:55:47
CS底,讀緊real analysis 睇唔明rudin
2017-12-04 11:57:29
CS底,讀緊real analysis 睇唔明rudin

咩topic?
2017-12-04 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
2017-12-04 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
2017-12-04 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
2017-12-04 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
2017-12-04 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
2017-12-04 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
2017-12-04 12:19:25
睇緊Anysis With an Introduction to proof

Rudin 同Apostol嗰本太難𠼰
2017-12-04 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

2017-12-04 12:20:56
analysia 撚係最強邏輯人
2017-12-04 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
2017-12-04 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

2017-12-04 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


2017-12-04 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
2017-12-04 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



2017-12-04 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




2017-12-04 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
2017-12-04 13:25:09
一講到 Lebesgue Integral 就好撚正
2017-12-04 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。
2017-12-04 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
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