(good) Problem book for a variety of topics?

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whyevengothere
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I've bought Mathematics: Its Content, Methods and Meaning Kolmogorov, Aleksandrov, and Lavrent'ev ( because it was cheap and had Kolmogorov as an author),it's very very interesting (that chapter on electric is kind of useless) ,sadly there are no problems .
I would like to ask for suggestions of special problem books that covers problem on all the important topics in mathematics? a problem book version of Mathematics: Its Content, Methods and Meaning Kolmogorov, Aleksandrov if you will.
Anything?
 
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