"On Mathematical Grounds" provides a glimpse of life at one of the world's premier mathematical institutes, focusing on its activities, people and programs. The Mathematical Sciences Research Institute (MSRI) serves the world as a center for research and postdoctoral studies and as a focal point for the dissemination of new mathematics and its applications. Over 2,000 leading mathematical scientists from around the world visit MSRI each year. In addition to its research activities, MSRI hosts programs that inform the public and strengthen mathematical education from junior high through graduate school. Support for MSRI comes from government agencies such as the National Science Foundation, the National Security Agency and the Department of Energy; corporations and leading universities; private foundations; and the donations of private individuals.

17岁的少女Geneviève（凯瑟琳·德纳芙 Catherine Deneuve 饰）是法国瑟堡一家雨伞店老板娘的女儿；20岁的少年Guy（尼诺·卡斯泰尔诺沃 Nino Castelnuovo 饰）是一家汽车修理店的员工，和他的伯母和伯母的养女Madeleine (Ellen Farner 饰演)生活在一起。 Geneviève和Guy是一对情侣，然而他们的恋情一直受到Geneviève母亲的阻挠。阿尔及利亚战争爆发了，Guy被迫要去前线服两年兵役。离别前一夜，两人发生了关系。分开的日子里，Geneviève很少收到Guy寄来的信，她开始怀疑他的真心。在母亲的撮合下，怀有身孕的她嫁给了一个一直对她穷追不舍的巴黎珠宝商 Roland Cassard (Marc Michel 饰演)。两年后，服完兵役的Guy回到瑟堡，想要寻回他和Geneviève的爱情，却发现一切早已物是人非......

17岁的少女Geneviève（凯瑟琳·德纳芙 Catherine Deneuve 饰）是法国瑟堡一家雨伞店老板娘的女儿；20岁的少年Guy（尼诺·卡斯泰尔诺沃 Nino Castel…

数学是研究数量、结构、变化以及空间模型等概念的一门学科。透过抽象化和逻辑推理的使用，由计数、计算、量度和对物体形状及运动的观察中产生。数学家们拓展这些概念，为了公式化新的猜想以及从合适选定的公理及定义中建立起严谨推导出的真理。 　　本片分为4部分,为您讲述数学之谜. 　　1-数学-宇宙的语言. 　　2-中国东方的天才. 　　3-空间的边缘. 　　4-无穷大及其超越.

在一场雨中，人与人别离、相遇、同行的故事

这是苏联导演Mikheil Kobakhidze执导的超现实主义作品《雨伞》。男主角在路轨边上工作，一边过着自给自足的生活，一边又寄情于吹笛。一次在女主角面前献技的时候，一位不速之客不期而至…… 　　以下是Mikheil Kobakhidze的详细介绍（转自樂生文舍）： 　　米亥依爾‧寇巴希杰（Mikhail Kobakhidze）和塔可夫斯基、巴拉讚諾夫算是同一輩的蘇聯導演，和這兩位電影大師非常友好。他們的作品悖離寫實主義的主要路線，所以一生都不順遂。寇巴希杰不斷詮釋「相遇」、「缺席」與「離別」的主題。在學期間執導短片《年輕人的愛情》（1961）與《競技場》（1962）。一九六四年畢業作品《8又1/2》完成後未通過審查，送交莫斯科的膠片更「意外」銷毀。一九六六年的《雨傘》，可以視為寇巴希杰的關鍵作品，詩化的風格非常明顯。雨傘雖然沒有任何政治隱喻，但因為《雨傘》的象徵高度抽象，還沒殺青，從莫斯科來的電檢人員即以「形式主義」、「意念不清」為由使影片停擺。一九六九年的《音樂家》原為長片計畫的第一部份，由於電檢介入，長片未能完成。此後寇巴希杰被禁達二十年之久。九七年後，他定居巴黎，二００一年復出導演短片《在路上》。 　　因為生存大環境的限制，寇巴希杰只得任憑滿腦子的構想荒廢，作品不多。包括已經佚失的《八又二分之一》，他全部的作品不過就是七部短片，所有影片家在一起長度不超過一個半小時，他自嘲是「九十分鐘的一生」。

(IMDB) 　　Maggi meets David after having missed her train, and they spend the night together. Penniless, the young lovers break into a summer cottage. The owner, Håkansson, offers to rent it to them, but he has an ulterior motive. By living together, they have to face their pasts and deal with the meddling neighbors and authorities. Written by Will Gilbert

(IMDB) 　　Maggi meets David after having missed her train, and they spend the night together. Penniless, the young lovers break into a summer cottage. The owner, Håkansson, offers to rent it to them, but he has an ulterior motive. By living together, they have to face their pasts and deal with the meddling neighbors and authorities. Written by Will Gilbert

A sharp, witty, mind-expanding and exuberant foray into the world of logic with computer scientist Professor Dave Cliff. Following in the footsteps of the award-winning 'The Joy of Stats' and its sequel, 'Tails You Win - The Science of Chance', this film takes viewers on a new rollercoaster ride through philosophy, maths, science and technology- all of which, under the bonnet, run on logic. 　　Wielding the same wit and wisdom, animation and gleeful nerdery as its predecessors, this film journeys from Aristotle to Alice in Wonderland, sci-fi to supercomputers to tell the fascinating story of the quest for certainty and the fundamentals of sound reasoning itself. 　　Dave Cliff, professor of computer science and engineering at Bristol University, is no abstract theoretician. 15 years ago he combined logic and a bit of maths to write one of the first computer programs to outperform humans at trading stocks and shares. Giving away the software for free, he says, was not his most logical move... 　　With the help of 25 seven-year-olds, Professor Cliff creates, for the first time ever, a computer made entirely of children, running on nothing but logic. We also meet the world's brainiest whizz-kids, competing at the International Olympiad of Informatics in Brisbane, Australia. 　　'The Joy of Logic' also hails logic's all-time heroes: George Boole who moved logic beyond philosophy to mathematics; Bertrand Russell, who took 360+ pages but heroically proved that 1 + 1 = 2; Kurt Godel, who brought logic to its knees by demonstrating that some truths are unprovable; and Alan Turing, who, with what Cliff calls an 'almost exquisite paradox', was inspired by this huge setback to logic to conceive the computer. 　　Ultimately, the film asks, can humans really stay ahead? Could today's generation of logical computing machines be smarter than us? What does that tell us about our own brains, and just how 'logical' we really are...?

对诺贝尔物理学奖获得者Richard Feynman的采访的纪录片。