03579nam a22004095i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003100137040000900168082001200177100003200189245022000221264004600441300004500487336002600532337002600558338003900584347002400623490004500647505020900692520187800901650001702779650001702796650002602813700003502839700002802874700003302902710003402935773002002969776003602989830004503025856009903070978-0-387-33430-1DE-He21320260521091903.0cr nn 008mamaa100301s2006    xxu|    s    |||| 0|eng d  a9780387334301  a997803873343017 a10.1007/0-387-33430-02doi  cCICY04a5102231 aDjukić, Dušan.eauthor.14aThe IMO Compendiumh[recurso electrónico] :bA Collection of Problems Suggested for the International Mathematical Olympiads: 1959-2004 /cby Dušan Djukić, Vladimir Janković, Ivan Matić, Nikola Petrović. 1aNew York, NY :bSpringer New York,c2006.  aXIV, 740 p. 200 illus.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  arecurso en líneabcr2rdacarrier  atext filebPDF2rda1 aProblem Books in Mathematics,x0941-35020 aIntroduction -- Basic Concepts and Facts -- Analysis -- Geometry -- Number Theory -- Combinatorics -- Problems -- Solutions -- Notation and Abbreviations -- Codes of the Countries of Origin -- References.  aThe 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. 0aMATHEMATICS.14aMATHEMATICS.24aMATHEMATICS, GENERAL.1 aJanković, Vladimir.eauthor.1 aMatić, Ivan.eauthor.1 aPetrović, Nikola.eauthor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780387242996 0aProblem Books in Mathematics,x0941-350240uhttp://dx.doi.org/10.1007/0-387-33430-0zVer el texto completo en las instalaciones del CICY