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Rating: 
Summary: For the professional mathematician
Review: A bit too over my head. Really a book for the professional, not the amateur. I love math, as explained in a college textbook, but this book was a bit too Poincaire-brief and condensed for me. I need a more verbose, baby-steps book.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.
Rating:
Summary: For the professional mathematician
Review: A bit too over my head. Really a book for the professional, not the amateur. I love math, as explained in a college textbook, but this book was a bit too Poincaire-brief and condensed for me. I need a more verbose, baby-steps book. 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.
Rating: 
Summary: Infinitely Many Stars (Best of the Best)
Review: Congratulations to the authors!!!
If you would like to have a mathematical problem book different
from the others, I highly recommend you to have this excellent book.
The book is not only one problem book, but also a rich resource
of very interesting notes about the origins of many very amazing
mathematical problems, theorems, and facts.
The book's style is very live, and I am a lover of the book.
Rating:
Summary: Mathematical Miniatures
Review: Mathematical Miniatures is a wonderful book, with a new approach to an old favorite topic: problem solving. 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.
Rating:
Summary: Please write volume 2, 3, 4....
Review: This book is a co-work of two world-known Mathematics Olympiad Masters, Svetoslav Savchev from Bulgaria and Titu Andreescu from USA. Both are trainer/leader/problem committe member of the national/IMO team for many years, and are really excellent and famous in the olympiad field. 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,...
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