USA and International Mathematical Olympiads, 2005

USA and International Mathematical Olympiads, 2005 PDF Author: Zuming Feng
Publisher: MAA
ISBN: 9780883858233
Category : Mathematics
Languages : en
Pages : 100

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Book Description
The Mathematical Olympiad examinations, covering the USA Mathematical Olympiad (USAMO) and the International Mathematical Olympiad (IMO), have been published annually by the MAA American Mathematics Competitions since 1976. This collection of excellent problems and beautiful solutions is a valuable companion for students who wish to develop their interest in mathematics.

USA and International Mathematical Olympiads, 2005

USA and International Mathematical Olympiads, 2005 PDF Author: Zuming Feng
Publisher: MAA
ISBN: 9780883858233
Category : Mathematics
Languages : en
Pages : 100

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Book Description
The Mathematical Olympiad examinations, covering the USA Mathematical Olympiad (USAMO) and the International Mathematical Olympiad (IMO), have been published annually by the MAA American Mathematics Competitions since 1976. This collection of excellent problems and beautiful solutions is a valuable companion for students who wish to develop their interest in mathematics.

USA and International Mathematical Olympiads 2004

USA and International Mathematical Olympiads 2004 PDF Author: Titu Andreescu
Publisher: MAA
ISBN: 9780883858196
Category : Mathematics
Languages : en
Pages : 130

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Book Description
The Mathematical Olympiad examinations, covering the USA Mathematical Olympiad (USAMO) and the International Mathematical Olypiad (IMO), have been published annually since 1976. The IMO is the world mathematics championship for high school students. It takes place every year in a different country. The IMO competitions help to discover, challenge, and encourage mathematically gifted young people all over the world. In addition to presenting their own carefully written solutions to the problems presented here, the editors have provided remarkable solutions developed by the examination committees, contestants, and experts, during and after the contests. They also provide a comprehensive guide to other materials on advances problem-solving. This collection of excellent problems and beautiful solutions is a valuable companion for students who wish to develop their interest in mathematics outside the school curriculum and to deepen their knowledge of mathematics.

Moscow Mathematical Olympiads, 1993-1999

Moscow Mathematical Olympiads, 1993-1999 PDF Author: Roman Mikhaĭlovich Fedorov
Publisher: American Mathematical Soc.
ISBN: 0821884360
Category : Mathematics
Languages : en
Pages : 232

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Book Description
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.

Mathematical Olympiad Treasures

Mathematical Olympiad Treasures PDF Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817682538
Category : Mathematics
Languages : en
Pages : 256

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Book Description
Mathematical Olympiad Treasures aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts in undergraduate mathematics. The book contains a stimulating collection of problems in the subjects of algebra, geometry, trigonometry, number theory and combinatorics. While it may be considered a sequel to "Mathematical Olympiad Challenges," the focus is on engaging a wider audience to apply techniques and strategies to real-world problems. Throughout the book students are encouraged to express their ideas, conjectures, and conclusions in writing. The goal is to help readers develop a host of new mathematical tools that will be useful beyond the classroom and in a number of disciplines.

Mathematical Olympiad in China (2007-2008)

Mathematical Olympiad in China (2007-2008) PDF Author: Bin Xiong
Publisher: World Scientific
ISBN: 9814261149
Category : Mathematics
Languages : en
Pages : 221

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Book Description
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.

103 Trigonometry Problems

103 Trigonometry Problems PDF Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817644326
Category : Mathematics
Languages : en
Pages : 222

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Book Description
* 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

50th IMO - 50 Years of International Mathematical Olympiads

50th IMO - 50 Years of International Mathematical Olympiads PDF Author: Hans-Dietrich Gronau
Publisher: Springer Science & Business Media
ISBN: 3642145655
Category : Mathematics
Languages : en
Pages : 298

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Book Description
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.

International Mathematical Olympiad Volume 1

International Mathematical Olympiad Volume 1 PDF Author: István Reiman
Publisher: Anthem Press
ISBN: 0857287176
Category : Mathematics
Languages : en
Pages : 216

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Book Description
The famed International Mathematical Olympiad has been challenging students worldwide for over 40 years. The first competition was held in Romania in 1959 with seven countries participating. It has since expanded to attract competitors from over 80 countries, representing all five continents. This first volume features every question set from 1959–75, along with comprehensive solutions and multiple answers where applicable. A fantastic selection of mathematical puzzles, this fully updated three volume series will be of interest to serious mathematicians and enthusiasts alike. István Reiman’s compilation of logic puzzles and questions will tease the intellect of all those with a mathematical mind.

The IMO Compendium

The IMO Compendium PDF Author: Dušan Djukić
Publisher: Springer Science & Business Media
ISBN: 1441998543
Category : Mathematics
Languages : en
Pages : 819

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Book Description
"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.

Inequalities

Inequalities PDF Author: Radmila Bulajich Manfrino
Publisher: Springer Science & Business Media
ISBN: 303460050X
Category : Mathematics
Languages : en
Pages : 214

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Book Description
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.