Rating: 
Summary: WOW!!!! A GEM!!
Review: A must for participants in math contests and their trainers, and a real treasure for all math lovers and problem-solving fans. The author focuses on the main ideas, techniques and strategies needed to solve the kind of problems found at "elementary" math competitions, up to the IMO level. With more than 1300 problems and examples, it is also an excellent source for teachers in search of interesting, non-routine problems to challenge their students, stimulate their creativity or even to motivate the study of some subjects. My only concern is that, at the sight of such abundance of material, some students might be overwhelmed or discouraged. Ideally, a qualified teacher should select the problems and assign them in adequate doses to the math strength of their students.
Rating:
Summary: Excellent!
Review: A must for participants in math contests and their trainers, and a real treasure for all math lovers and problem-solving fans. The author focuses on the main ideas, techniques and strategies needed to solve the kind of problems found at "elementary" math competitions, up to the IMO level. With more than 1300 problems and examples, it is also an excellent source for teachers in search of interesting, non-routine problems to challenge their students, stimulate their creativity or even to motivate the study of some subjects. My only concern is that, at the sight of such abundance of material, some students might be overwhelmed or discouraged. Ideally, a qualified teacher should select the problems and assign them in adequate doses to the math strength of their students.
Rating:
Summary: One of hte Best or maybe the best in it's class
Review: Are you training for Math competitions anywhere? , for National Math Olympiad in any country or IMO (International Mathematical Olympiad) This is probably one of the most complete books in the market. Arthur Engel (coach for the German IMO team)has done a wonderful job in this GemI will list the chapters title and that should give good Idea about this excellent book.
The Invariance Principle;
Coloring Proofs;
The extremal Principle;
The Box Principle;
Enumerative Combinatorics;
Number Theory;
Inequalities;
The Induction Principle;
Sequences;
Polynomials;
Functional Equations;
Geometry;
Games;
Further Strategies
Each chapter is full of sample exercises and end by around a 100 problems to solve making the total number of problems in the book to 1300. The problems are selected to illustrate techniques in difficult and non-routine problem solving using problems from past IMO, Tournament of the Towns non Calculus Putnam problems and National competitions from many countries. Happy Problem Solving!
Rating:
Summary: WOW!!!! A GEM!!
Review: Firstly, this book is probably not well suited for the beginner. It is definitely a comprehensive presentation of elementary and ingenious problem solving methods. Techniques such as Pigeonhole(box principle), invariants, Plane and transformational geometries, coloring proof, number theory, enumarative combinatorics, and quite a few more are presented with many(MANY!) examples and problems. This is definitely the most complete book on mathematical technique that I have seen to date. This book is magnificent. Highly Recommend
Rating:
Summary: good book, if you want to be best like me you should buy it
Review: I am best at mathematics. I have won several national titles in my country. I am at brink of discovering solutions to several unsolved problems in mathematics. I got good by competions against good young mathematicians. I think this book is very good for intelligent people, not dumb people. If you want to improve your problem solving you will buy this.
Rating:
Summary: good book, if you want to be best like me you should buy it
Review: I am best at mathematics. I have won several national titles in my country. I am at brink of discovering solutions to several unsolved problems in mathematics. I got good by competions against good young mathematicians. I think this book is very good for intelligent people, not dumb people. If you want to improve your problem solving you will buy this.
Rating:
Summary: A book for everyone who loves mathematics
Review: I disagree with another reviewer(Math Messiah) who thinks this is a book only for intelligent people like himslf. The problems are wide ranging and numerous and even dumb people (me, for instance) can find fun and excitement in many of them. I also have an advice for the Math Messiah who is on brink of some major discoveries: hold on to that brink, and don't drop.
Rating:
Summary: Excellent So Far
Review: I have just started working on this book recently. I've been reading through and working on the problems in the number theory section which are excellent so far. There is a good balance between warm-up/basic training problems and hard contest problems so you won't be discouraged too easily. I have browsed through the other sections and they seem very good. Must have if you are preparing for math contests!
Rating:
Summary: it was fun for reading :)
Review: it was really good book to read and the solution of them are really good. i enjoyed to read these books:)
Rating:
Summary: Fantastic!
Review: Problem-Solving Strategies is a great book for anyone interested in Mathematical Contests. It is not however a book for starters but rather a book for university students and high-school contest participants.
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