I have been into maths for 14 years now and I wish I had have read this book before I went to uni.Firstly, lets state the obvious, this book doesn't tell you what you must do to solve all mathematical problems because that would obviously imply all mathematical problems have core similarities which of course they don't. What this book does give you through the use of examples and the prose of Polya, who was a teaching GENIUS, is guidance on how you can become, through a combination of practice, character(yes your character as well as how you feel affects your success to solve problems, duh, this is an aspect in success of problem solving that is totally ignored in modern mathematical education), common sense, intelligence, back ground knowledge, perseverance and the skilled application of his heuristic list a killer problem solver. Seriously, if your on a maths course at uni and you integrate this book and this man into your mathematical education you WILL become a vastly better problem solver. When you finish this READ HIS OTHER BOOKS.