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I just finished my second year as a mathematics student at university. At university, we learn about advanced mathematics and problems. However, I'm also interested in some problems that doesn't acquire deep results from mathematics or a certain theory to solve them.

Now I'm looking for a good guide to learn more about this type of problem-solving. I want some pdf or a book that gives some brief introduction to a problem solving technique and after that a large bunch of problems. I don't want these problems to be too easy but I also don't want them to be too hard so that I have to know much modern results in mathematics to understand them.

Does anyone of you knows such a guide at my level (university student)?

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The Putnam exams might interest you. – Git Gud Jun 24 '13 at 20:15
I forget if Polya's "How to Solve It" has problems, but it was the go-to recommendation for this sort of thing when I was young. – Thomas Andrews Jun 24 '13 at 20:17

Problem-Solving Strategies

Arthur Engel

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I was going to recommend the same book. – Ed Pegg Jun 25 '13 at 14:08

I like "The Art and Craft of Problem Solving" by Paul Zeitz

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