Timeline for A Learning Roadmap request: From high-school to mid-undergraduate studies
Current License: CC BY-SA 2.5
8 events
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| Jul 18, 2010 at 14:30 | comment | added | Victor Protsak | Although I read it, Lang's Algebra wasn't all the rage when I was studying in Moscow. But selection of algebra textbooks in English is much wider than what we had known then. Also, as someone who spent a long time studying Gelfand-Manin's book, I can authoritatively say that it's not a suitable textbook for learning homological algebra (nor it claims to be: its focus is category theory and derived categories, but it lacks many fundamental things from what the authors call "first two stages of the development of homological algebra"). | |
| Jun 15, 2010 at 4:07 | comment | added | The Mathemagician | @ Vladimir I'm not-and I probably know mathematicians from a previous generation. Vinberg's text is my algebra reference of choice and I am SO glad it's available now to an English-speaking audience! | |
| Jun 15, 2010 at 0:25 | comment | added | Peter Samuelson | I think that for someone who has not studied abstract algebra, the book by Dummit and Foote is much better than Lang. They make a much more concerted effort to explain and motivate concepts, which I think is important when first learning a subject. | |
| Jun 14, 2010 at 22:29 | history | edited | Vladimir Dotsenko | CC BY-SA 2.5 |
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| Jun 14, 2010 at 22:16 | history | edited | Vladimir Dotsenko | CC BY-SA 2.5 |
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| Jun 14, 2010 at 22:05 | comment | added | Vladimir Dotsenko | Andrew, I believe that those Russian trained algebraists whom I know who did not learn from Lang (and they are minority), learned algebra from Vinberg's book. In any case, there is a possibility that we know different mathematicians, and don't intend to question your statement. I hope that you don't intend to question mine either. | |
| Jun 14, 2010 at 21:58 | comment | added | The Mathemagician | @Vladimir Lang's Algebra is WAY too difficult for a beginner even at Moscow State. I'm sure most students that tried to use it struggled. Frankly,most of the Russian trained mathematicians I know learned algebra from Kostrikin's books. | |
| Jun 14, 2010 at 21:53 | history | answered | Vladimir Dotsenko | CC BY-SA 2.5 |