一些有意思的链接 (Some Interesting Links)

公开课网站:

MOOC Coursera https://www.coursera.org/    学堂在线 https://www.xuetangx.com/   

Stanford Online http://online.stanford.edu/      爱课程 http://www.icourses.cn/home/

 

有意思的书:T. Villani,  一个定理的诞生---我与菲尔兹奖的一千个日夜;Daniel Kahneman,  思考,快与慢; 

与数学有关的电影: 知者无涯---印度数学家拉马努金; 模仿游戏---阿兰.图灵;美丽心灵---约翰.纳什

 

文章推荐:

 

学习方法:

1. 怎样练习一万小时----刻意练习天才训练指南

2. 别指望灵感,还是要靠汗水 ——“创造性思维”的三个迷信

3. 最高级的想象力是不自由的

4. 笔记本就是力量

5. Myth和Truth:什么是搞科研

6. 用强力眼读书,

 

社会思考:

1. 精致的利己主义者和常青藤的绵羊

关于一些问题的总结和ppt (Summary of some problems and some useful PPT)

 

Slides

1.From Continuous Time Random Walk to Fractional Diffusion Equations.

CTRWtoFDE.pdf

2.Ph.D dissertation

博士论文报告.pdf

3. A simple introduction about Bayesian inverse method

 A simple introduction about Bayesian inverse methods.pdf

 

Summary

 

1. How to understand weak derivatives ? There at least three ways:

(1) Through test function and integration by part (Evance's book)

(2) Weak derivative can be seen as weak limit of difference operator (P49 Proposition 2.2.2 (ii) Elliptic & Parabolic Equations "Zhuoqun Wu, Jingxue Yin and Chunpeng Wang")

(3) Closed operator of normal derivative operator (P63 泛函分析讲义(下册)“张恭庆,郭懋正”)

 

2. Notes about 'An Introduction to Infinite-Dimensional Analysis' (Giuseppe Da Prato)   练习与个人总结

 

3. Trace Theorem for Sobolev Space with Fractional Order Trace Theorem Sobolev Space.pdf