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| Author | : Titu Andreescu |
| Publisher | : Cambridge University Press |
| Total Pages | : 340 |
| Release | : 2002-05-16 |
| Genre | : Mathematics |
| ISBN | : 9780883858059 |
Challenging problems in maths plus solutions to those featured in the earlier Olympiad book.
| Author | : Titu Andreescu |
| Publisher | : MAA |
| Total Pages | : 296 |
| Release | : 2003-10-16 |
| Genre | : Education |
| ISBN | : 9780883858103 |
Problems and solutions from Mathematical Olympiad. Ideal for anyone interested in mathematical problem solving.
| Author | : Roman Mikhaĭlovich Fedorov |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 232 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : 0821884360 |
The Moscow Mathematical Olympiad has been challenging high-school students with stimulating, original problems for over 75 years. This volume presents a selection of problems from the Olympiad, along with detailed solutions.
| Author | : Marcin E. Kuczma |
| Publisher | : Mathematical Association of America |
| Total Pages | : 202 |
| Release | : 2003-10-09 |
| Genre | : Mathematics |
| ISBN | : 9780883858110 |
The International Mathematical Olympiad competition is held every year with the final taking place in a different country. The final consists of a two day exam with the contestants being challenged to solve three difficult problems each day. This book contains the questions from the finals taking place between 1986 and 1999 inclusive. For each problem the author has included at least one solution and often remarks about alternative approaches and the significance of the problem. Many of the solutions are derived from answers given by contestants rather than the organisers as these were often the most elegant solutions. This collection will be of great value to students preparing for the IMO and to all others who are interested in problem solving in mathematics.
| Author | : Titu Andreescu |
| Publisher | : Cambridge University Press |
| Total Pages | : 308 |
| Release | : 2000-11-02 |
| Genre | : Mathematics |
| ISBN | : 9780883858035 |
A large range of problems drawn from mathematics olympiads from around the world.
| Author | : Radmila Bulajich Manfrino |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 214 |
| Release | : 2010-01-01 |
| Genre | : Mathematics |
| ISBN | : 303460050X |
This book is intended for the Mathematical Olympiad students who wish to prepare for the study of inequalities, a topic now of frequent use at various levels of mathematical competitions. In this volume we present both classic inequalities and the more useful inequalities for confronting and solving optimization problems. An important part of this book deals with geometric inequalities and this fact makes a big difference with respect to most of the books that deal with this topic in the mathematical olympiad. The book has been organized in four chapters which have each of them a different character. Chapter 1 is dedicated to present basic inequalities. Most of them are numerical inequalities generally lacking any geometric meaning. However, where it is possible to provide a geometric interpretation, we include it as we go along. We emphasize the importance of some of these inequalities, such as the inequality between the arithmetic mean and the geometric mean, the Cauchy-Schwarz inequality, the rearrangementinequality, the Jensen inequality, the Muirhead theorem, among others. For all these, besides giving the proof, we present several examples that show how to use them in mathematical olympiad problems. We also emphasize how the substitution strategy is used to deduce several inequalities.
| Author | : Hans-Dietrich Gronau |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 298 |
| Release | : 2011-01-03 |
| Genre | : Mathematics |
| ISBN | : 3642145655 |
In July 2009 Germany hosted the 50th International Mathematical Olympiad (IMO). For the very first time the number of participating countries exceeded 100, with 104 countries from all continents. Celebrating the 50th anniversary of the IMO provides an ideal opportunity to look back over the past five decades and to review its development to become a worldwide event. This book is a report about the 50th IMO as well as the IMO history. A lot of data about all the 50 IMOs are included. We list the most successful contestants, the results of the 50 Olympiads and the 112 countries that have ever taken part. It is impressive to see that many of the world’s leading research mathematicians were among the most successful IMO participants in their youth. Six of them gave presentations at a special celebration: Bollobás, Gowers, Lovász, Smirnov, Tao and Yoccoz. This book is aimed at students in the IMO age group and all those who have interest in this worldwide leading competition for highschool students.
| Author | : Titu Andreescu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 222 |
| Release | : 2006-03-04 |
| Genre | : Mathematics |
| ISBN | : 0817644326 |
* Problem-solving tactics and practical test-taking techniques provide in-depth enrichment and preparation for various math competitions * Comprehensive introduction to trigonometric functions, their relations and functional properties, and their applications in the Euclidean plane and solid geometry * A cogent problem-solving resource for advanced high school students, undergraduates, and mathematics teachers engaged in competition training
| Author | : Dušan Djukić |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 819 |
| Release | : 2011-05-05 |
| Genre | : Mathematics |
| ISBN | : 1441998543 |
"The IMO Compendium" is the ultimate collection of challenging high-school-level mathematics problems and is an invaluable resource not only for high-school students preparing for mathematics competitions, but for anyone who loves and appreciates mathematics. The International Mathematical Olympiad (IMO), nearing its 50th anniversary, has become the most popular and prestigious competition for high-school students interested in mathematics. Only six students from each participating country are given the honor of participating in this competition every year. The IMO represents not only a great opportunity to tackle interesting and challenging mathematics problems, it also offers a way for high school students to measure up with students from the rest of the world. Until the first edition of this book appearing in 2006, it has been almost impossible to obtain a complete collection of the problems proposed at the IMO in book form. "The IMO Compendium" is the result of a collaboration between four former IMO participants from Yugoslavia, now Serbia and Montenegro, to rescue these problems from old and scattered manuscripts, and produce the ultimate source of IMO practice problems. This book attempts to gather all the problems and solutions appearing on the IMO through 2009. This second edition contains 143 new problems, picking up where the 1959-2004 edition has left off.
| Author | : Bin Xiong |
| Publisher | : World Scientific |
| Total Pages | : 221 |
| Release | : 2009 |
| Genre | : Mathematics |
| ISBN | : 9814261149 |
The International Mathematical Olympiad (IMO) is a competition for high school students. China has taken part in the IMO 21 times since 1985 and has won the top ranking for countries 14 times, with a multitude of golds for individual students. The six students China has sent every year were selected from 20 to 30 students among approximately 130 students who took part in the annual China Mathematical Competition during the winter months. This volume comprises a collection of original problems with solutions that China used to train their Olympiad team in the years from 2006 to 2008. Mathematical Olympiad problems with solutions for the years 2002?2006 appear in an earlier volume, Mathematical Olympiad in China.
