Most people simply sit and stare at the problem and don't go beyond that. The most common situation occurs when you encounter extremely tough questions like the Olympiad ones. There is lot more to it than simply trying out tough problems.
There are experienced trainers like Professor Titu Andreescu who spend a lot of time training kids to get better. When it comes to contest level problems, it is not as simple as that. Most people simply say that "practice makes perfect". The main problem with such books is that for slightly experienced problem solvers, this book probably does not provide a whole lot of information as to what needs to be done to get better.įor instance, for a kid who is in 10th grade struggling with math, this is a very good book.įor a kid who is in his 11th grade trying for math Olympiad or for people looking at Putnam, this book won't provide much help. Good aspects of this book have been said by most of the other reviewers. From a review for Polya's book on Amazon, the books to be read in sequence. Problems are selected from all sorts of competitions throughout the world including the IMO, various national selection tests for the IMO, and of course the Putnam itself. It covers more topics from algebra and analysis than I think are typically included in these books. See also Solving mathematical problems: a personal perspective by Terence Tao. Gelca and Andreescu have at least one book on the subject. Art of Problem Solving also publishes special textbooks geared towards olympiad students such as this one on Precalculus.
They publish six times a year and their problems tend to reflect current olympiad trends.
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Have you looked at the problems section in the Mathematical Reflections? It's a free online journal edited by Titu Andreescu. Knuth's Concrete Mathematics is not only a fun place to learn great combinatorics it also contains lots of amazing problems. There are lots of beautiful examples in it proving a great deal of nontrivial results by what are essentially elementary methods. Problem set: graph theory Problem set: number theory Problem set: divisibility Polya's "How to Solve It" is a good one. Subjects Mathematics - Problems, exercises, etc. Language English View all editions Prev Next edition 3 of 3. rex, and feathered raptor dinosaurs preserved in lava from China.Īt a time when Homo sapiens has existed for less than 200,000 years and we are already talking about planetary extinction, The Rise and Fall of the Dinosaurs is a timely reminder of what humans can learn from the magnificent creatures who ruled the earth before us.Published [Washington, D.
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