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I studied math all by my self for a few years out of my own love for it, since without guide, I was often puzzled.

I'd like ask for aid here, mainly about why we view numbers over spec Z etc. Does it or how does it be "nature", I myself was trying quite hard to get a feeling about this. I'd also appreciate if you could offer me a little examples,a link to some short note would be excellent,by the way, if it's convenient, my email is whoisdhp@gmail.com . Thanks a lot.

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Dear Yoshinobu, Have you looked at this answer: math.stackexchange.com/questions/30866/… ? Regards, –  Matt E May 29 '11 at 4:20
thanks for your advice,professor,I am not that smart to understand it all at once,I think(may be naive):(1)scheme language give us more structure on the object we learn,as we introduce topology on certain groups and learn it under continous morphsim (2)we seems are interested in morphism or "relation" between objects other than obj themselves,like we do in algebraic numbers,we embed a number field into its closure using valuations,so can I say scheme language is providing a new structure which capatible with all others and worthy learning? –  Yoshinobu Osawa May 29 '11 at 5:43
There is no need for (two!) «plz» in the title. If you browse a bit the site you will notice that no question has that, or anything similar, on its title. –  Mariano Suárez-Alvarez May 29 '11 at 12:55
In any case, you probably should make your question more precise and focused in order to get useful answers. You surely have a whole list of things you'd like to know: while of course asking all of them at once is not going to help at all, your saying «I'd like ask for aid here, ... etc» is not exactly encouraging :) –  Mariano Suárez-Alvarez May 29 '11 at 12:57

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