Re: [積分]請問Jordan Curve是什麼鬼?

看板trans_math作者 (批踢踢基金)時間20年前 (2005/07/11 00:43), 編輯推噓5(5010)
留言15則, 4人參與, 最新討論串2/2 (看更多)
※ 引述《benwenbb (溫仔)》之銘言: : 就是今年94中正的考題 : 他說要再JORDAN CURVE上作一個積分 : 但卻不知道那是啥,麻煩大家了 簡單的說就是好的曲線. We call that a path in the complex plane is a complex-valued function γ, continuous on a compact interval [a,b]. The image of [a,b] under γ (the graph of γ) is said to be a curve described by γ and it is said to join the points γ(a) and γ(b). If γ(a) = γ(b) and if γ is one-to-one on the half-open interval [a,b), the curve is called a simple closed curve, or a Jordan curve. 就算不曉得 Jordan curve 是啥, 直接做線積分也是沒問題的吧, 除非積分子太爛. -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 219.68.227.219

140.127.179.227 07/11, , 1F
是一種簡單封閉曲線嗎?
140.127.179.227 07/11, 1F

60.198.69.14 07/11, , 2F
可以這麼說...這個有牽涉到複變的範疇...
60.198.69.14 07/11, 2F

60.198.69.14 07/11, , 3F
舉凡土木,機械等工學院科系...都有機會修到低...
60.198.69.14 07/11, 3F

60.198.69.14 07/11, , 4F
複變顧名思義為"複數域上的微積分"...
60.198.69.14 07/11, 4F

60.198.69.14 07/11, , 5F
裡面大部分內容與微積分有相似的地方...
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60.198.69.14 07/11, , 6F
少部分有不相同...所以初微有學好的話...
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60.198.69.14 07/11, , 7F
到多變數微積分,複變領域都還蠻容易上手的...
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60.198.69.14 07/11, , 8F
個人的一點小經驗...僅供各位參考^^...
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59.121.206.92 07/11, , 9F
哦,原來就是封閉曲線的意思阿
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219.68.227.219 07/11, , 10F
沒有交叉喔
219.68.227.219 07/11, 10F

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60.198.69.14 07/11, , 12F
這個網站很好用...只要是關於數學的一些專有名詞...
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59.121.206.92 07/11, , 13F
謝謝,好詳細唷
59.121.206.92 07/11, 13F

60.198.69.14 07/11, , 14F
裡面幾乎都可以找的到...雖然沒有很詳細...
60.198.69.14 07/11, 14F

60.198.69.14 07/11, , 15F
不過對於工學院來說...已經算很足夠了...
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文章代碼(AID): #12qL0NX2 (trans_math)
文章代碼(AID): #12qL0NX2 (trans_math)