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 …

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, …

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 …

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 …

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 …

6 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 …

I would like to know sources, and examples of good "challenge" problems for students who have studied pre-calculus and some calculus. (differentiation and the very basics of integration.) …

Jan 15, 2015 · 20 To put it simply: I have seen many problem books in real analysis (also on this website), but the exercises they propose seem quite standardized. What are problem books …

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.

Jun 12, 2019 · 7 I know lists of problems like these have been compiled before, but most tend to collect either extremely difficult problems ( like Collatz conjecture in a question about number …