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紀錄片《費馬最后的定理》 第01期 引言
Perhaps I could best describe my experience of doing mathematics in terms of entering a dark mansion. 或許描述我研究數學的經歷最恰當的比方，就是進入一個黑暗的大宅中 Because, when one goes into the first room and it's da
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紀錄片《費馬最后的定理》 第02期 嘗試解決難題
This is the story of one man's obsession with the world's greatest mathematical problem. 這個故事是關于一個人對于世界上最大數學難題的沉迷 For seven years Professor ANDREW WILES worked in complete secrecy, creating the calculat
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紀錄片《費馬最后的定理》 第03期 勾股定理
Pierre de Fermat was a 17th-century French mathematician who made some of the greatest breakthroughs in the history of numbers. 皮埃爾德費馬是17世紀時期的法國數學家，他在數學歷史上成就了一些最偉大的突破。 His insp
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紀錄片《費馬最后的定理》 第04期 沒有寫出來的證明
X squared plus y squared equals zee squared, and you can ask: x+y=z，你可以問： well what are the whole numbers solutions of this equation? 那么這個等式的整數解是什么? And you quickly find there's a solution 3 squared plus 4 square
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紀錄片《費馬最后的定理》 第05期 數學家們的不斷嘗試
Fermat made lots of marginal notes. 費馬寫了相當多的頁欄筆記 People took them as challenges and over the centuries every single one of them has been disposed of, 人們將那些視為挑戰，數世紀以來，其中的每一條都已被解
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紀錄片《費馬最后的定理》 第06期 數學證明
Well how many numbers are there to beat that with? 要這么做的話得要試多少個數? You've got to do it for infinitely many numbers. 你得要這么試上無窮無盡的數字 So after you've done it for one, how much closer have you got? 那么
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紀錄片《費馬最后的定理》 第07期 橢圓曲線
In the 70s Fermat was no longer in fashion. 70年代時，費馬不再熱門 At the same time Andrew Wiles was just beginning his career as a mathematician. 與此同時，安德魯懷爾斯正開始其作為數學家的生涯。 He went to Cambridge
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紀錄片《費馬最后的定理》 第08期 日本數學家登場
It looks so simple yet the complexity, especially arithmetic complexity, is immense. 它看來如此簡單，然而其復雜性，尤其是幾何復雜性，極大。 Every point on the doughnut is the solution to an equation. 甜甜圈上的每個點都
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紀錄片《費馬最后的定理》 第09期 關于模形式
Together, Taniyama and Shimura worked on the complex mathematics of modular functions. 谷山豐和志村五郎一起進行模函數方面復雜數學的研究 I really can't explain what a modular function is in one sentence. 我實在不能用一句話
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紀錄片《費馬最后的定理》 第10期 谷山-志村猜想
In 1955 there was an international symposium and Taniyama posed two or three problems. 在1955年的一次國際學術報告會上，谷山豐提出了兩三個問題。 The problems posed by Taniyama led to the extraordinary claim that 谷山豐提的
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紀錄片《費馬最后的定理》 第11期 谷山豐自殺
I think that when Shirmura and Taniyama first started talking about 我認為谷山豐和志村五郎開始討論 the relationship between elliptic curves and modular forms, people were very incredulous. 橢圓曲線和模形式之間的關系時，大
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紀錄片《費馬最后的定理》 第12期 兩者之間的關聯
Taniyama-Shimura went on to become one of the great unproven conjectures. 谷山-志村猜想仍舊是一個未經驗證的大猜想。 But what did it have to do with Fermat's last theorem? 但它和費馬最后定理間有什么關系？ At that ti
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紀錄片《費馬最后的定理》 第13期 提出Epsilon猜想
Frey showed how starting with a fictitious solution to Fermat's last equation 弗萊展示出如何從費馬最后定理的一個假定解著手， if such a horrible, beast existed, he could make an elliptic curve with some very weird properties. 如果
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紀錄片《費馬最后的定理》 第14期 著手攻克谷山-志村猜想
I saw Barry Mazur on the campus and I said let's go for a cup of coffee 我在校園里看到巴里梅休爾，就說一起去喝杯咖啡吧， and we sat down for cappuccinos at this cafe and I looked at Barry and I said you know, 我們在這間咖啡
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紀錄片《費馬最后的定理》 第15期 安德魯專心進行證明
Andrew abandoned all his other research. 安德魯放棄了其它所有的研究工作。 He cut himself off from the rest of the world and for the next seven years 在接下來的七年里，他將自己隔絕于外部世界， he concentrated solel
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