[腦力大挑戰] Mathematical analysis BB班

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

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

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

CS底，讀緊real analysis 睇唔明rudin

CS底，讀緊real analysis 睇唔明rudin

咩topic?

CS底，讀緊real analysis 睇唔明rudin

咩topic?

sequence 果個chapter （chapter 3） 開始覺得好難

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

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

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

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

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

睇緊Anysis With an Introduction to proof

Rudin 同Apostol嗰本太難𠼰

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

analysia 撚係最強邏輯人

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

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

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

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

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

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

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

一講到 Lebesgue Integral 就好撚正

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。

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