Problem-Solving Strategies (Problem Books in Mathematics) free download online
Title: Problem-Solving Strategies (Problem Books in Mathematics) Author(s): Arthur Engel Pages: 403 Publisher: Springer; 1st ed. 1998. Corr. 2nd printing edition Publication date: 1999 Language: English Format: DJVU ISBN-10: 0387982191 ISBN-13: Description: 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.
PROBLEM SOLVING STRATEGIES is a unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. The discussion of problem solving strategies is extensive. It is written for trainers and participants of contests of all levels up to the highest level: IMO, Tournament of the Towns, and the noncalculus parts of the Putnam Competition. It 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", "problem of the month", and "research problem of the year" to their students, thus bringing a creative atmosphere into their classrooms with continuous discussions of mathematical problems. This volume is a must-have for instructors wishing to enrich their teaching with some interesting non-routine problems and for individuals who are just 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. Very few problems have no solutions. Readers interested in increasing the effectiveness of the book can do so by working on the examples in addition to the problems thereby increasing the number of problems to over 1300. In addition to being a valuable resource of mathematical problems and solution strategies, this volume is the most complete training book on the market.
Review:
Maths book that invites you to think but does not drive you away
This is one book that I would like to keep with me all the time even after all my interest in Maths. is gone. For, it gives me food for thought and does not allow my mind to be dried of thoughts. This is a most fascinating book since the author, even when he gives hints at the solution, he does it in such an effective manner, that you have to really pursue a very thrilling chase of the solution. The challenge and thrill make it a pleasurable experience. I am sure this will be so for both the learner and the learned. Every mathematician should possess this book.
V. Krishnamurthy
Review:
First time preparing elite gr. 10 - 12 students for competition?
This is my top recommendation.
Review:
This book has most topics that you see at an Olympiad
This book has a lot of topics that you see at a mathematical competition, like IMO. It has Number Theory, Geometry, Games, Combinatorics and many strategies to solve a difficult and exciting problem. I recommend this book for you.
Review:
A book for everyone who loves mathematics
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.
Review:
Excellent So Far
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!
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Title: Problem-Solving Strategies (Problem Books in Mathematics)