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Mathematical Miniatures (Anneli Lax New Mathematical Library) Paperback – November 1, 2002
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About the Author
Titu Andreescu is the Director of the American Mathematics Competition, a program of the Mathematical Association of America (MAA). He also serves as Chair of the USA Mathematical Olympiad committee, Head Coach of the the USA International Mathematical Olympiad Team, and Director of the Mathematical Olympiad Summer Program.
Top Customer Reviews
Reader may ask that what this thin book will give in an age with numerous contest problems and with new training books appearing every year. The answer is "the Insight". It is divided into 50 sections(topics), each section is a essay containing the analyzing several(3 to 6) related problems, usuall from easier to harder. These problems are carefully selected from the huge collection of problems in numerous mathematics magazines and contests.
This is the FIRST book in english to teach olympiad readers that how the problems are relating with each other, how a simple idea grows into a hard and beautiful problem, how to think in a higher point of view. However, the style of this book is rather relax and warm.
This is not a textbook nor a problem book, neither suitable for training owing to its form. It's for reading, appreciating, and for those teachers/students who have been familiar enough with the standard problems and tired of training sessions. If you want to know what a mathematical olympiad is, what a beautiful cute problem is, this book is for you.
This book is a pearl indeed. I really hope the authors will publish the volume 2,3,...
The book is comprised of 50 chapters, each one telling a mathematical story. The majority of the problems come from math Olympiads and the most clever solutions and applications are always accompanied by the name of the problem solver. One cannot help but be in awe at amazing insights in solving tremendously complicated problems, performed by high school students under the constrictive time frame of the Olympiad tests.
The topics of the problems are reflective of the Math Olympiads topics, and will particularly appeal to the pure mathematician. But the beauty of the ingenious, albeit elementary mathematics will grab any passionate mathematician's attention. The sequence of 50 chapters - 50 mathematical topics is broken by nine "coffee breaks", and preceded by a warm up set. Each of the breaks proposes to the reader a handful of problems - some easy, some quite hard - all of them teasing and inviting. This is to say to the reader: don't just read about how others have cleverly solved problems, try your hand at some! I have to confess to falling for this trap several times and going through the house mumbling to myself "hmm... I used to get this in 5 minutes when I was in high school". Luckily all these problems come with solutions as well.
Overall, a delightful book, recommended not only for one's mathematical reading pleasure, but also for math clubs in either high school or college.
That is full of various amazing problems, results,
historic notes and instructive comments in mathematics.
I do highly recommend this invaluable book and all other
very nice books of Prof. Andreescu and his colleagues to all
So that's why I'm giving it two stars. Of course, once you are a master, then less is more.
I did give it away to a professional mathematician, who liked it.