The IMO Compendium

Problem Books in Mathematics
A Collection of Problems Suggested for The International Mathematical Olympiads: 1959-2004
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The ultimate collection of high-school-level mathematics problems. Former IMO participants have rescued these problems from old and scattered manuscripts, and produced the definitive source of IMO practice problems in one volume for the first time.
The International Mathematical Olympiad (IMO) is the most prestigious competition for high-school students interested in mathematics. It offers high school students a chance to measure up with students from the rest of the world. This book attempts to gather all the problems and solutions appearing on the IMO over the past fifty years and to present them in one volume for the first time. It is the result of a two year long collaboration between former IMO participants to rescue these problems from old and scattered manuscripts, and produce the definitive source of IMO practice problems. In short, "The IMO Compendium" is the ultimate collection of challenging high-school-level mathematics problems. With a grand total of 1900 problems this book is an invaluable resource for high-school students preparing for mathematics competitions, and for anyone who appreciates and loves math.
Introduction.- Basic Concepts and Facts.- Analysis.- Geometry.- Number Theory.- Combinatorics.- Problems.- Solutions.- Notation and Abbreviations.- Codes of the Countries of Origin.- References.
The International Mathematical Olympiad (IMO) has within its almost 50-year-old history 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.
The IMO has sparked off a burst of creativity among enthusiasts in creating new and interesting mathematics problems. In an extremely stiff competition, only six problems are chosen each year to appear on the IMO. The total number of problems proposed for the IMOs up to this point is staggering and, as a whole, this collection of problems represents a valuable resource for all high school students preparing for the IMO.
Until now 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 two year long 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, as well as the so-called "short-lists", a total of 864 problems. In addition, the book contains 1036 problems from various "long-lists" over the years, for a grand total of 1900 problems.
In short, "The IMO Compendium" is the ultimate collection of challenging high-school-level mathematics problems. It will be an invaluable resource, not only for high-school students preparing for mathematics competitions, but for anyone who loves and appreciates math. This is the ultimate collection of challenging high-school-level mathematics problems. It is the result of a two year long collaboration to rescue these problems from old and scattered manuscripts, and produce the definitive source of IMO practice problems in book form for the first time. This book attempts to gather all the problems and solutions appearing on the IMO and contains a grand total of 1900 problems. It is an invaluable resource for high-school students preparing for mathematics competitions, and for anyone who loves math.
Autor: Dusan Djukic, Vladimir Jankovic, Ivan Matic, Nikola Petrovic
Dusan Djusic from Serbia, medalist in the mathematical olympiads. He is an expert in number theory and took part in 3 IMOs. He won 2 silver medals and 1 gold. He has also participates in 2 Balkan IMOs and medaled in each.
Vladimir Jankovic's areas of study are extreme problems in optimal control. He was awarded 2 silver medals at the IMOs in 1969 and 1970 and has been the main gatekeeper for the shortlist problems from IMOs of years past. He is from Serbia, medalist in the mathematical olympiads.
Ivan Matic from Serbia, medalist in the mathematical olympiads. His area of research is partial differential equations and won a silver medal at the 1999 IMO along with a number of awards in other competitions.
Nikola Petrovic took part in 3 IMOs and 2 Balkan IMOs and has been awarded silver and bronze medals. He is from Serbia and all were medalists in the mathematical olympiads.

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Autor: Dusan Djukic
ISBN-13 :: 9781441920270
ISBN: 1441920277
Verlag: Springer, Berlin
Gewicht: 1130g
Seiten: 746
Sprache: Englisch
Sonstiges: Taschenbuch, 235x155x mm, 200 SW-Abb.
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