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Problem-Solving Strategies (Problem Books in Mathematics), by Arthur Engel
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A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.
- Sales Rank: #617607 in Books
- Published on: 2008-05-23
- Original language: English
- Number of items: 1
- Dimensions: 9.17" h x .94" w x 6.10" l, 1.30 pounds
- Binding: Paperback
- 403 pages
Most helpful customer reviews
14 of 16 people found the following review helpful.
Problem Solving Strategies by Arthur Engel
By Henry Stewart
I am a student at a college in New England and I bought this book in high school. The book claims no knowledge of higher mathematics is necessary to complete the problems but that claim is simply untrue. You need higher mathematics to solve some of these problems. The author says anyone with a standard high school mathematics education can solve these problems. I strongly disagree. They are similar to high school problems but they are in much much greater depth.
Wow! The problems in the book are extremely difficult but not impossible. I would recommend only buying this book if you have access to mathematics professor(s) who can help you understand these problems for the Putnam Competition or you have a committed group of friends who like math. It takes me hours to solves these problems but I love it!
47 of 49 people found the following review helpful.
One of hte Best or maybe the best in it's class
By Julio Cesar De Yncera
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 Gem
I 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!
4 of 4 people found the following review helpful.
great book for mathematics competitions
By Chee Lim Cheung
This is a rather complete book for students and coaches who are preparing for mathematics competitions such as the IMO. It is loaded with problem-solving strategies for a large variety of mathematics problems ranging from combinatorics, number theory, sequences, polynomials and geometry to game theory, a topic which is not normally included in mathematics competitions. There are tons of problems (around 1300) to hone your mathematical skills. Another very good book in a similar category is the IMO Compendium. The books by Titu Andreescu are also excellent for mathematics competitions.
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