Ebook 106 Geometry Problems from the AwesomeMath Summer Program, by Titu Andreescu, Michal Rolinek, Josef Tkadlec
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106 Geometry Problems from the AwesomeMath Summer Program, by Titu Andreescu, Michal Rolinek, Josef Tkadlec
Ebook 106 Geometry Problems from the AwesomeMath Summer Program, by Titu Andreescu, Michal Rolinek, Josef Tkadlec
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This book contains 106 geometry problems used in the AwesomeMath Summer Program to train and test top middle and high-school students from the U.S. and around the world. Just as the camp offers both introductory and advanced courses, this book also builds up the material gradually. The authors begin with a theoretical chapter where they familiarize the reader with basic facts and problem-solving techniques. Then they 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, they provide a detailed solution and strive to pass on the intuition and motivation behind it. Many 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: #941098 in Books
- Published on: 2013-07-15
- Original language: English
- Dimensions: 10.00" h x 7.00" w x .75" l, .0 pounds
- Binding: Hardcover
- 174 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 8 people found the following review helpful.
Geometry is Beautiful!
By Naoki Sato
"106 Geometry Problems" is a perfect book for anyone who is looking to improve their geometry skills for mathematical competitions, or just wants to build an appreciation for the subject.
The book covers topics such as triangle centers, cyclic quadrilaterals, and power of a point. All of the main concepts are illustrated with well-chosen and interesting examples, many of which are taken from actual competitions. Key results are explained in a lucid, conversational tone that makes the material easy to follow. And as promised, there are 106 additional geometry problems presented, with complete solutions.
Slight Disclaimer: I have worked with the authors at the AwesomeMath Summer Program, and in his class, author Michal Rolinek likes to present a result called "The Fundamental Theorem of Geometry," which simply goes "Geometry is Beautiful." After reading this book, you too will believe that geometry is beautiful.
1 of 1 people found the following review helpful.
Perfect book for a beginner geometer
By Aaron Doman
This book starts off with a lengthy introduction to geometry, assuming basic familiarity with geometry. Throughout the first chapter, the authors walk the reader through problems ranging in difficulty from simple propositions to olympiad problems. The remaining chapters are devoted to the problems and solutions, which are the heart of the book.
The authors' attention to detail is remarkable - every problem has a corresponding diagram, and many of these are colored to make them clearer. In addition, the authors added footnotes with a little background about each mathematician mentioned in a theorem.
It is clear that the writers of this book spent a significant amount of time choosing only the most interesting problems and making nice diagrams to help the reader along. This is an excellent resource for any student with some experience in geometry and a passion for mathematics.
3 of 4 people found the following review helpful.
Delightful geometry problems
By Yair Mulian
This book begins with a theoretical chapter where the basic theorems are reviewed and then proceed to more advanced topics such as inversion, homothetapy and various other techniques. Many problems are solved along this book, the main source of them is previous olympiads such as IMO, AIME, USAMO and many others. All the problems suggested for the reader are carefully solved at the end of the book where in many cases more than one solution is given.
See all 5 customer reviews...
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