The IMO Compendium
A Collection of Problems Suggested for The International Mathematical Olympiads: 1959-2004
(Sprache: Englisch)
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...
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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.
Klappentext zu „The IMO Compendium “
Nearing its 50th anniversary, the International Mathematical Olympiad (IMO) has firmly established itself as the most prestigious mathematical competition a high school student could aspire to participate in. The IMO represents not only a great opportunity of tackling interesting and challenging mathematical problems, it also offers a way for high school students to measure up with students from the rest of the world. Until now it has been almost impossible to obtain a collection of the problems posed at the IMO. This volume, which has all the Olympiad problems used or short-listed for use in competitions from 1959 to 2004, will be the definitive and authoritative source for students preparing for the IMO. Schools training teams will find it indispensable, as will problem-setters and aspiring solvers all over the world. Additionally, the skill developed in successfully attacking difficult mathematical problems will be an invaluable prerequisite for a serious and prosperous career in mathematics.
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.
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.
Inhaltsverzeichnis zu „The IMO Compendium “
- Introduction- Basic Concepts and Facts
- Analysis
- Geometry
- Number Theory
- Combinatorics
- Problems
- Solutions
- Notation and Abbreviations
- Codes of the Countries of Origin
- References.
Autoren-Porträt von Dusan Djukic, Vladimir Z. Jankovic, Ivan Matic, Nikola Petrovic
- Dusan Djukic, IMO: gold, 2 silver, B.Sc. in Mathematics at BelgradeUniversity, Serbia and Montenegro
- Vladimir Jankovic, Ph.D. in Mathematics, Associate Professor at the
Belgrade University, Serbia and Montenegro
- Ivan Matic, IMO: silver, B.Sc. in Mathematics at Belgrade University,
Serbia and Montenegro
- Nikola Petrovic, IMO: 2 silver, bronze, B.Sc. in Mathematics and in
Physics at MIT, USA
Bibliographische Angaben
- Autoren: Dusan Djukic , Vladimir Z. Jankovic , Ivan Matic , Nikola Petrovic
- 2006, XX, 700 Seiten, mit zahlreichen Abbildungen, Maße: 16,7 x 24,5 cm, Gebunden, Englisch
- By Dusan Djukic, Vladimir Z. Jankovic, Ivan Matic et al.
- Verlag: Springer
- ISBN-10: 0387242996
- ISBN-13: 9780387242996
Sprache:
Englisch
Rezension zu „The IMO Compendium “
From the reviews:"The International Mathematical Olympiad, or IMO is the premier international competition for talented high school mathematics students. ... This book collects statements and solutions of all of the problems ever set in the IMO, together with many problems proposed for the contest. ... serves as a vast repository of problems at the Olympiad level, useful both to students ... and to faculty looking for hard elementary problems. No library will want to be without a copy, nor will anyone involved in mathematics competitions ... ." (Fernando Q. Gouvêa, MathDL, March,2006)
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