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The Should I Become a Mathematician? Threadby mathwonk
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#775
Aug607, 10:43 AM

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#776
Aug607, 11:41 AM

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i have been demotivated lots of times, thinking i would never grasp something, or never solve something, that i must be in the wrong business. now its more from inactivity. getting back to work after a lull is also hard but usually cures the blues now.
for modular forms, have you tried reading gunning, or serre? 


#777
Aug607, 11:48 AM

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#778
Aug607, 05:52 PM

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#779
Aug607, 07:34 PM

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not needed for those books is it?
http://www.amazon.com/LecturesModul...6446969&sr=11 http://www.amazon.com/CourseArithme...447026&sr=112 


#780
Aug807, 09:39 AM

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#781
Aug807, 10:44 AM

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#782
Aug907, 06:10 AM

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#783
Aug907, 06:13 AM

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Mathwonk, I have the serious problem that I pretty much cannot do any of the problems in my pure maths subject unless I take a peak at the solution. Is that a sign that I should quit pure maths? That especially goes for topology. I did poorly in the prereqs as well so that could be the root to my problems.



#784
Aug907, 09:49 AM

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it probably means you lack some background. just start further back as you say with perhaps topology. or get an easier book. i dont see why you should quit. we all have the same problem of finding the right entry level treatment of a new topic.
or it may eman you are not learning the material well eneough before trying the problems. or that you need mroe practice solving such problems. when trying to doa problem that does not yield, just make the problem easier and solve the easier one. then try to work back up. 


#785
Aug907, 01:40 PM

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I loooovvveee topology.
I can't wait to learn more this Fall. 


#786
Aug907, 05:05 PM

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Mathwonk, do you know a good derivation of the normal distribution. It's used so often everywhere and it bothers me that I have to take something for granted which does not look obvious like 1+1.



#787
Aug907, 05:29 PM

P: 291

I say mathematical level one because there are some easier ones used by other majors which need probability theory. In those books the normal distribution is mentioned but not much is developed in theory. 


#788
Aug907, 05:34 PM

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The question is ambiguous. It is of course possible to prove that the integration from minus infinity to infinity of the normal distribution function gives 1. However, as to how to go from "I am looking for a function whose integration from infinity to infinity is 1 and that is even" to an actual answer, I do not know.



#789
Aug907, 05:54 PM

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i did not even know what the question means, but i could ask somebody more knowledgeable, is that the question? prove the integral of something over R is 1? or what? i have not taken probability since 1963, and only got a B+ then. (I think it was discrete probability too.)



#790
Aug907, 06:32 PM

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#791
Aug907, 06:43 PM

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you may not learn the stuff this time around. thats fine. it'll come later.
or if you are committed to getting it this time, institute a crSH PLAN. WHEN i was flunking diff eq i bought a schaums outline series in d.e. and began working all the problems until i caught up. or post some questions on here in the appropriate forum. we'll help you get the ideas. start with one or two here. i love topology. when i was a senior i took kelleys general topology and read it over the summer and worked the problems. it isnt very hard core or fun topology but it gives you the basic abstract point set stuff. and i alwAYS FOUND SIMMONS ONE OF THE VERY CLEAREST EXPOSITORS of analysis. sterling k berberian was also excellent. 


#792
Aug907, 06:55 PM

P: 5

Can you recommend me a textbook which explains in a more simple way where the normal distribution function comes from ?



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