Twitter: I want to get better at maths, to make up for lost time in college. Who/what should I read?
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But trying the proof directly can work for relatively "easy" results, based on a few manipulations and one, as much two clever ideas. But many results have been the product of lots of brilliant ideas, work, etc. If you're a beginner in the field, you can hardly distinguish.
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Yes. There were many results where I failed, or where it took repeated attempts over months or years. There are a few results where I succeeded after more than two decades.
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Another good book is by Arthur Engel on problem-solving.
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