本课程主要介绍一些著名数学问题，以及这些问题所包含的数学思想和方法。讲解的内容有: 开创数字时代-仙农创立信息论，从勾股定理到费马大定理、数学与民主投票、数学最优化例谈、哥尼斯堡七桥问题、悖论与数学思想、金融数学的华尔街革命、蝴蝶效应、素数定理与哥德巴赫猜想、牛顿对莱布尼兹--- 微积分发现之争、经济与金融中控制问题简介。
This course introduces some famous mathematical problems, which contain mathematical ideas and methods. The content include: creating the digital age-Shannon founded information theory. From the Pythagorean theorem, Fermat's last theorem, mathematics and democratic vote, mathematical optimization example, Seven Konigsberg bridges problem, Paradox and mathematical thought revolution on Wall Street, The butterfly effect, financial mathematics, the prime number theorem and Goldbach's conjecture, Control problems in the economic and financial profile.