Re: [請益] 物理雙主修數學
我對數學的看法是它是很好用工具,不用就生銹。
所以宁愿甚麼都學,只學那些你覺得有可能用到的。
當然其實物理几乎就需要大學程度的所有數學。
如果你要學弦論所以要每天用各种抽象數學那拿相應的課就make sense。
如果你想我學數學只為理解物理,我就學到甚麼物理,需要甚麼東西再去學。
量子需要代數。統力需要分析、廣相需要幾何等等。
有時候有些東西太有趣(例如數論)也不放過。
但是因為從來都用不到,現在已經忘了很多。
拿課的好處是可以逼自己寫作業。
我還沒有單靠看書學過任何東西。就算自學我也會去做題目。
學數學可以給你一些邏輯上的洞察力,有時候看物理題目上很好用。
但有些數學太嚴謹的題目(例如邏輯、集論)我就沒有甚麼興趣,所以一直沒認真去學。
像群論我比較會,但同樣在代數科學的環跟場我就停留在查課本程度。
人生太短、天才太少。總不能甚麼都學吧。
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