Problem-solving

Question

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)?

Answer 1

Problem-Solving Strategies

Arthur Engel

http://www.amazon.com/Problem-Solving-Strategies-Problem-Books-Mathematics/dp/0387982191

Answer 2

I have just the thing for you: "The Top-Down Approach to Problem Solving", by Eduardo Corpeño (yours truly), ISBN 979-8464073296. You can find it on amazon as paperback and ebook. I hope it helps.