Timeline for A Learning Roadmap request: From high-school to mid-undergraduate studies
Current License: CC BY-SA 2.5
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 18, 2010 at 8:01 | comment | added | Kevin H. Lin | Andrew, chill out. Different people have different tastes. | |
| Jun 15, 2010 at 8:56 | comment | added | Daniel Barter | @Andrew L: I had a look in Pugh's book this afternoon. I am inclined to agree with you. The taste of topology chapter in particular looks miles better than its counterpart in Rudin. | |
| Jun 15, 2010 at 5:02 | comment | added | Harry Gindi | @Andrew L: I get the feeling that you've never even read Rudin or Bourbaki. | |
| Jun 15, 2010 at 4:05 | comment | added | The Mathemagician | @Daniel To me,Pugh is Rudin Done Right. I think he'll find it much more inspiring,enlightening and the exercises are just as challenging if not more so. | |
| Jun 14, 2010 at 22:35 | comment | added | Daniel Barter | @ Andrew L: Rudin was my first introduction to analysis. In hindsight, i knew what a derivative was (but not to much more) and i could mechanically evaluate integrals from high school. Max seems to know a lot more than I did when I first picked up rudin, and I didn't have to much trouble working my way through it. I am not telling him that he should read rudin, I am just telling him that I think he would be able to handle it if he wanted to and I think it is a good book. | |
| Jun 14, 2010 at 22:29 | comment | added | Daniel Barter | I don't think Max here is an ordinary student. He seems like he is interested in becoming a mathematician, and he seems very bright. In this light, even if he is not able to handle Lee's topological manifolds straight away, I would be very surprised if he cant handle Rudin's Principles of Mathematical analysis. Once he has mastered this book, he should be able to move onto Lee's book easily. | |
| Jun 14, 2010 at 22:19 | comment | added | The Mathemagician | @Daniel WHAT THE HELL IS IT WITH PEOPLE AND RUDIN?!? Max,go read Charles Chapman Pugh's REAL MATHEMATICAL ANALYSIS instead after you master calculus.You'll thank me later,trust me. | |
| Jun 14, 2010 at 22:18 | comment | added | The Mathemagician | @Daniel In many ways,Lee's book is the model of what future first-year graduate topology courses should look like. Point set topology is wonderful and critical-but I think now that ramming a whole semester of it down students' throats isn't really the way to go with this. | |
| Jun 14, 2010 at 22:16 | comment | added | Daniel Barter | I also recommend Principles of Mathematical analysis by Rudin. It has already been mentioned though. It is an amazing book. It is also the only book which i have ever really studied from start to finish. | |
| Jun 14, 2010 at 22:08 | history | answered | Daniel Barter | CC BY-SA 2.5 |