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Problem Books in Mathematics

The IMO Compendium

A Collection of Problems Suggested for The International Mathematical Olympiads: 1959-2009 Second Edition

Authors: Djukić, D., Janković, V., Matić, I., Petrović, N.

  • Only publication to gather all of the problems given at the IMO from 1959-2009 including both long and short list problems.
  • Second edition includes 143 additional problems. First edition sold nearly 2900 copies.
  • Best preparation at the high school level for the International Mathematical Olympiad (IMO)
  • All authors are IMO medalists.
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eBook $79.99
price for USA
  • ISBN 978-1-4419-9854-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Download immediately after purchase
Hardcover $109.00
price for USA
  • ISBN 978-1-4419-9853-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-1-4614-2874-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
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About this book

The IMO Compendium is the ultimate collection of challenging high school level mathematics problems. It is an invaluable resource, not only for students preparing for competitions, but for anyone who loves and appreciates math. Training for mathematical olympiads is enjoyed by talented students throughout the world. Olympiads have become one of the primary ways to recognize and develop talented youth with a potential to excel in areas that require abstract thinking. Although the problems appearing at IMO do not involve advanced mathematics, they must be difficult and their solutions must arise from creative and clever insights rather than tedious calculations.

In preparation for the distinguished International Mathematical Olympiad (IMO) competition, each participating country selects the top six high school students every year through a series of national olympiads. These students are invited to participate in the IMO, usually held in July. The IMO is a two-day contest where each day competitors are given three problems which they work on independently. The IMO host country appoints a special committee to which each country submits up to six problems. From this composite “longlist” of problems, a “shortlist” of 25-30 problems is created. The jury, consisting of one professor from each country, makes the final selection from the shortlist a few days before the IMO begins.

The IMO has sparked a burst of creativity among enthusiasts to create new and interesting mathematics problems. It can be safely said that the IMO and shortlisted problems are among the well-crafted problems created in a given year. This book attempts to gather all of these problems with their solutions. In addition, the book contains all the available longlist problems, for a total of more than 2000 problems.

 
From the reviews of the first edition:

"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)


About the authors

The authors of this volume have published the first edition with Springer in 2006. The first edition has gone through 3 printings and 2510 print sales. Links to the first edition can be found on the IMO website.

Each of the authors are from Serbia and all were medalists in the mathematical olympiads. Dusan Djusic 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.

Ivan Matic's 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.

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.

Nikola Petrovic took part in 3 IMOs and 2 Balkan IMOs and has been awarded silver and bronze medals.

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)


Table of contents (4 chapters)

Buy this book

eBook $79.99
price for USA
  • ISBN 978-1-4419-9854-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Download immediately after purchase
Hardcover $109.00
price for USA
  • ISBN 978-1-4419-9853-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-1-4614-2874-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
The IMO Compendium
Book Subtitle
A Collection of Problems Suggested for The International Mathematical Olympiads: 1959-2009 Second Edition
Authors
Series Title
Problem Books in Mathematics
Copyright
2011
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4419-9854-5
DOI
10.1007/978-1-4419-9854-5
Hardcover ISBN
978-1-4419-9853-8
Softcover ISBN
978-1-4614-2874-9
Series ISSN
0941-3502
Edition Number
2
Number of Pages
XIV, 809
Topics