数学漫步之旅

我们将尝试解释数学，而不是像在学校教授的那样，而是作为一种诗意的、神秘的思想结构。它强调逻辑，即数学允许我们掌握的现实的实际应用。该系列旨在让好奇的观众接触数学新奇的一面，让他们感受到数学是思维的一部分，是文化的一部分。

EP1. 乘法与加法的思维方式 EP2.微积分 EP3.庞加莱猜想——For a topologist,all these shapes-sorry-these manifolds can be created from each other by deformation; therefore they are identical,or rather"homeomorphic",as they say in these parts.So a ball and a cube are homeomorphic manifolds,as are a vase and a plate,which are basically just balls which have been deformed!This is why topologists sometimes put flowers in completely flat vases,which is difficult for the flowers which know nothing about topology.