This vision should be helpful to solve the most of usual problems. The base of a general method of hard problem solving is sketched in a book “Mathematical discovery: on understanding, learning and …

Jul 11, 2024 · I am afraid there is no easy answer to questions like this. Hard work and innate ability are both ingredients, but nobody will be able to tell you how hard you have to work to solve a problem, or …

Sep 30, 2024 · So, I'm taking Calculus BC in school as a 11th grader currently. My teacher tends to put extremely hard problems on the test. Most of these questions require a lot of work or thinking out of …

Jun 5, 2014 · Always stretch/push yourself, and never lose track of why you're solving the problem. Of course, if you mean "When to give up on a hard math problem, during competition for strategic …

Oct 28, 2017 · Like the title says, I'm looking for math problems that are easy to understand, but difficult to see the solutions immediately or even after much thought; but when shown the solution, the …

60 The problems that appear in difficult math competitions such as the IMO or the Putnam exam are usually very difficult and require some ingenuity to solve. They also usually don't look like they can …

Nov 12, 2019 · I have always wondered how the problem-setters for contests like the IMO come up with the problems. The creation of problems like those set at university, or found in textbooks, seem …

Dec 15, 2016 · I am looking for an app that I can use to PROVIDE me with math problems for practice and to stay fresh on various subjects in mathematics. This includes all levels of math (from low grade …

You may consider Problem Solving Trough Problems by Loren C. Larson. That book is aimed at the advanced undergraduate level, and cover some of the branches of mathematics you need.

I started with Polya. But it is hard for me to relate to. There had to be another resource. So, instead, I can recommend to anyone reading this and looking for help on this topic, take a look at Terrence …