I think russians are great mathematicians:pelerman, kolmogorov stanislav smirnov and etc.I am interested in:what kind of mathematical education they have, so that they were able to achieve that much?can you suggest some problem solving books or any suggestions that would help me to rise my math skill and problem solving ability?
2026-03-31 17:44:38.1774979078
book recommendation for problem-solving
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I myself have been doing lots of research and reading numerous reviews and descriptions on which books are best to improve one's problem-solving skills, so I feel that I should share the outcome of the hours I spent searching the web with others (note: These are not my reviews, I still have NOT purchased any of these books or read them)
Solving Mathematical Problems by Tao: aimed to 14-15yrs audience. A comment said it's not enough for a training curriculum for high-level math competitions. Another comment said its a very very bad option & not to be considered. Many highly recommended it.
A Mathematical Mosaic: Patterns & Problem Solving: "seventh- and eighth- grade students can handle yet high school students will find challenging." It seems not like a textbook or a solid curriculum, not the best as a reference.
Problem-Solving through Problems: I feel it's for Putnam exams and upper high school level, it seems a great, organized book. Highly recommended by many.
Mathematical Olympiad Challenges, Second Edition: seems for up-to-calculus students, very great, organized, and great results of acquiring methods and techniques.