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Mathematical Miniatures (Anneli Lax New Mathematical Library) Paperback – November 1, 2002

by Svetoslav Savchev (Author), Titu Andreescu (Author)

4 customer reviews

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Rather than simply a collection of problems, this book can be thought of as both a tool chest of mathematical techniques and an anthology of mathematical verse. The authors have grouped problems so as to illustrate and highlight a number of important techniques and have provided enlightening solutions in all cases. As well as this there are essays on topics that are not only beautiful but also useful. The essays are diverse and enlivened by fresh, non-standard ideas. This book not only teaches techniques but gives a flavour of their past, present and possible future implications. It is a collection of miniature mathematical works in the fullest sense.

Mathematical Miniatures (Anneli Lax New Mathematical Library)

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Product Details

Series: Anneli Lax New Mathematical Library (Book 43)
Paperback: 230 pages
Publisher: The Mathematical Association of America (November 1, 2002)
Language: English
ISBN-10: 088385645X
ISBN-13: 978-0883856451
Product Dimensions: 6 x 0.6 x 9 inches
Shipping Weight: 11.2 ounces
Average Customer Review: 4.2 out of 5 stars See all reviews (4 customer reviews)
Amazon Best Sellers Rank: #791,562 in Books (See Top 100 in Books)
- #10623 in Books > Science & Math > Mathematics

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4.3 out of 5 stars

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16 of 16 people found the following review helpful

Please write volume 2, 3, 4....

By Sen Peng Eu on April 7, 2003

Format: Paperback Verified Purchase

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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8 of 8 people found the following review helpful

Mathematical Miniatures

By Ioana on January 27, 2004

Format: Paperback

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.

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A Panorama of Mathematical Diamonds

By H. A. Shah Ali on December 12, 2004

Format: Paperback

This book is a panorama of mathematical diamonds.
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
mathematics lovers.

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8 of 25 people found the following review helpful

For the professional mathematician

By A_2007_reader on April 23, 2003

Format: Paperback Verified Purchase

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.

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Mathematical Miniatures (Anneli Lax New Mathematical Library) Paperback – November 1, 2002

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