PDF Download 107 Geometry Problems from the Awesomemath Year-Round Program, by Titu Andreescu, Michal Rolinek, Josef Tkadlec
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107 Geometry Problems from the Awesomemath Year-Round Program, by Titu Andreescu, Michal Rolinek, Josef Tkadlec
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This book contains 107 geometry problems used in the AwesomeMath Year-Round Program. The problems offer additional challenges for those who have progressed through the 106 Geometry Problems from the AwesomeMath Summer Camp publication. The book begins with a theoretical chapter, where the authors review basic facts and familiarize the reader with some more advanced techniques. The authors then proceed to the main part of the work, the problem sections. The problems are a carefully selected and balanced mix which offers a vast variety of flavors and difficulties, ranging from AMC and AIME levels to high-end IMO problems. Out of thousands of Olympiad problems from around the globe the authors chose those which best illustrate the featured techniques and their applications. The problems meet the authors' demanding taste and fully exhibit the enchanting beauty of classical geometry. For every problem the authors provide a detailed solution and strive to pass on the intuition and motivation behind it. Numerous problems have multiple solutions. Directly experiencing Olympiad geometry both as contestants and instructors, the authors are convinced that a neat diagram is essential to efficiently solve a geometry problem. Their diagrams do not contain anything superfluous, yet emphasize the key elements and benefit from a good choice of orientation. Many of the proofs should be legible only from looking at the diagrams.
- Sales Rank: #1329885 in Books
- Published on: 2013-07-15
- Original language: English
- Dimensions: 10.25" h x 7.00" w x .75" l, .0 pounds
- Binding: Hardcover
- 188 pages
About the Author
Titu Andreescu, University of Texas at Dallas, Richardson, TX, USA Michal Rolinek, Institute of Science and Technology, Klosterneuburg, Austria Josef Tkadlec, Charles University, Prague, Czech Republic
Most helpful customer reviews
6 of 6 people found the following review helpful.
Geometry is Beautiful, Part 2!
By Naoki Sato
"107 Geometry Problems" picks up where "106 Geometry Problems From the AwesomeMath Summer Program" left off (which I have also reviewed). There was so much material, they had to split it into two parts!
The book covers topics such as homothety, spiral similarity, and inversion. Like "106 Geometry Problems," fundamental concepts are explained with well-chosen and illuminating examples, many of which are taken from actual competitions. The many nicely-drawn diagrams (some with color) of the text make the concepts easy to visualize and ably convey the elegance of the material. As indicated, the text also includes 107 additional geometry problems, with complete solutions, that students can practice solving.
3 of 3 people found the following review helpful.
107% for 107 Geometry Problems
By Dominik Teiml
107 Geometry Problems is a continuation of 106 Geometry Problems by the same authors, so it contains more challenging problems and introduces the reader to more advaned propositions in Euclidean geometry. That said, both books are stand-alones, so you won't feel like walking into the middle of a lecture if you just read this book (as I did). The book starts with about 50 pages of theory that can be said to include everything one needs to know the tackle the hardest problems. Some non-trivial statements include proofs and example problems. But the meat of the book are the Problems, separated into two categories of difficulty. All problems contain solutions - many times several solutions - that contain just enough detail and all include a diagram, so you can read the book even for example on public transport.
107 Geometry Problems is a masterpiece of a work. I have solved many geometry problems in high school and after and seen even more, but the ones included in this book have easily made it to my list of the most beautiful and elegant problems I have encountered. From speaking with the authors I was informed that when preparing this book, they used only a very small fraction (maybe 5%) of problems they found, and I think anyone who has read the book will not doubt that.
As you can see, I am very enthusiastic about this book, but frankly, it is hard not to be. I have not finished all the problems, but so far, I haven't spotted a single mistake. The same goes for grammar - even though English is not the first language of any of the authors, the book reads as if written by a native speaker. In fact, the foreign nationality of the authors is an advantage, as they show us how geometry is done in Czech Republic, Romania and other Eastern European countries - where goemetry is focused on much more than in the US. All in all, I would like to thank the authors for brining us this incredible book.
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