The Imo Compendium

Author : Dušan Djukić,Vladimir Janković,Ivan Matić,Nikola Petrović
Publisher : Springer Science & Business Media
Page : 809 pages
File Size : 51,8 Mb
Release : 2011-05-05
Category : Mathematics
ISBN : 9781441998545

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The IMO Compendium by Dušan Djukić,Vladimir Janković,Ivan Matić,Nikola Petrović Pdf

"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.

Author : Dušan Djukić,Vladimir Janković,Ivan Matić,Nikola Petrović
Publisher : Springer
Page : 0 pages
File Size : 41,6 Mb
Release : 2010-11-25
Category : Mathematics
ISBN : 1441920277

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The IMO Compendium by Dušan Djukić,Vladimir Janković,Ivan Matić,Nikola Petrović Pdf

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.

Author : International Maritime Organization
Publisher : IMO Publishing
Page : 58 pages
File Size : 55,8 Mb
Release : 2001
Category : Business & Economics
ISBN : 9280151126

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IMO Compendium on Facilitation and Electronic Business by International Maritime Organization Pdf

Author : Hans-Dietrich Gronau,Hanns-Heinrich Langmann,Dierk Schleicher
Publisher : Springer Science & Business Media
Page : 297 pages
File Size : 52,6 Mb
Release : 2011-01-03
Category : Mathematics
ISBN : 9783642145650

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50th IMO - 50 Years of International Mathematical Olympiads by Hans-Dietrich Gronau,Hanns-Heinrich Langmann,Dierk Schleicher Pdf

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.

Author : Dušan Djukić,Vladimir Janković,Ivan Matić,Nikola Petrović
Publisher : Springer Science & Business Media
Page : 749 pages
File Size : 48,6 Mb
Release : 2006-06-07
Category : Mathematics
ISBN : 9780387334301

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The IMO Compendium by Dušan Djukić,Vladimir Janković,Ivan Matić,Nikola Petrović Pdf

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.

Author : Titu Andreescu,Bogdan Enescu
Publisher : Springer Science & Business Media
Page : 256 pages
File Size : 42,5 Mb
Release : 2011-09-21
Category : Mathematics
ISBN : 9780817682538

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Mathematical Olympiad Treasures by Titu Andreescu,Bogdan Enescu Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 0 pages
File Size : 43,7 Mb
Release : 2021
Category : Fishers
ISBN : 9220320150

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Compendium of Maritime Labour Instruments by Anonim Pdf

Author : Jiri Herman,Radan Kucera,Jaromir Simsa
Publisher : Springer Science & Business Media
Page : 402 pages
File Size : 49,8 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475739251

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Counting and Configurations by Jiri Herman,Radan Kucera,Jaromir Simsa Pdf

This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry. Brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty and by exercises that range from routine to rather challenging. The book features approximately 310 examples and 650 exercises.

Author : Evan Chen
Publisher : American Mathematical Soc.
Page : 311 pages
File Size : 54,6 Mb
Release : 2021-08-23
Category : Education
ISBN : 9781470466206

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Euclidean Geometry in Mathematical Olympiads by Evan Chen Pdf

This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class.

Author : Arthur Engel
Publisher : Springer Science & Business Media
Page : 403 pages
File Size : 43,8 Mb
Release : 2008-01-19
Category : Mathematics
ISBN : 9780387226415

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Problem-Solving Strategies by Arthur Engel Pdf

A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

Author : Josh Clark,Chuck Bryant
Publisher : Flatiron Books
Page : 336 pages
File Size : 45,5 Mb
Release : 2020-11-24
Category : Reference
ISBN : 9781250268518

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Stuff You Should Know by Josh Clark,Chuck Bryant Pdf

From the duo behind the massively successful and award-winning podcast Stuff You Should Know comes an unexpected look at things you thought you knew. Josh Clark and Chuck Bryant started the podcast Stuff You Should Know back in 2008 because they were curious—curious about the world around them, curious about what they might have missed in their formal educations, and curious to dig deeper on stuff they thought they understood. As it turns out, they aren't the only curious ones. They've since amassed a rabid fan base, making Stuff You Should Know one of the most popular podcasts in the world. Armed with their inquisitive natures and a passion for sharing, they uncover the weird, fascinating, delightful, or unexpected elements of a wide variety of topics. The pair have now taken their near-boundless "whys" and "hows" from your earbuds to the pages of a book for the first time—featuring a completely new array of subjects that they’ve long wondered about and wanted to explore. Each chapter is further embellished with snappy visual material to allow for rabbit-hole tangents and digressions—including charts, illustrations, sidebars, and footnotes. Follow along as the two dig into the underlying stories of everything from the origin of Murphy beds, to the history of facial hair, to the psychology of being lost. Have you ever wondered about the world around you, and wished to see the magic in everyday things? Come get curious with Stuff You Should Know. With Josh and Chuck as your guide, there’s something interesting about everything (...except maybe jackhammers).

Author : Alexander Zawaira,Gavin Hitchcock
Publisher : OUP Oxford
Page : 368 pages
File Size : 55,9 Mb
Release : 2008-10-31
Category : Mathematics
ISBN : 9780191561702

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A Primer for Mathematics Competitions by Alexander Zawaira,Gavin Hitchcock Pdf

The importance of mathematics competitions has been widely recognised for three reasons: they help to develop imaginative capacity and thinking skills whose value far transcends mathematics; they constitute the most effective way of discovering and nurturing mathematical talent; and they provide a means to combat the prevalent false image of mathematics held by high school students, as either a fearsomely difficult or a dull and uncreative subject. This book provides a comprehensive training resource for competitions from local and provincial to national Olympiad level, containing hundreds of diagrams, and graced by many light-hearted cartoons. It features a large collection of what mathematicians call "beautiful" problems - non-routine, provocative, fascinating, and challenging problems, often with elegant solutions. It features careful, systematic exposition of a selection of the most important topics encountered in mathematics competitions, assuming little prior knowledge. Geometry, trigonometry, mathematical induction, inequalities, Diophantine equations, number theory, sequences and series, the binomial theorem, and combinatorics - are all developed in a gentle but lively manner, liberally illustrated with examples, and consistently motivated by attractive "appetiser" problems, whose solution appears after the relevant theory has been expounded. Each chapter is presented as a "toolchest" of instruments designed for cracking the problems collected at the end of the chapter. Other topics, such as algebra, co-ordinate geometry, functional equations and probability, are introduced and elucidated in the posing and solving of the large collection of miscellaneous problems in the final toolchest. An unusual feature of this book is the attention paid throughout to the history of mathematics - the origins of the ideas, the terminology and some of the problems, and the celebration of mathematics as a multicultural, cooperative human achievement. As a bonus the aspiring "mathlete" may encounter, in the most enjoyable way possible, many of the topics that form the core of the standard school curriculum.

Author : Radmila Bulajich Manfrino,José Antonio Gómez Ortega,Rogelio Valdez Delgado
Publisher : Springer Science & Business Media
Page : 220 pages
File Size : 53,5 Mb
Release : 2010-01-01
Category : Mathematics
ISBN : 9783034600507

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Inequalities by Radmila Bulajich Manfrino,José Antonio Gómez Ortega,Rogelio Valdez Delgado Pdf

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.

Author : Djukic
Publisher : Unknown
Page : 760 pages
File Size : 50,7 Mb
Release : 2009-12-01
Category : Electronic
ISBN : 8184895259

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The Imo Compendium: A Collection Of Problems Suggested For The International Mathematical Olympiads: 1959-2004 by Djukic Pdf

Author : Răzvan Gelca,Titu Andreescu
Publisher : Springer
Page : 857 pages
File Size : 40,5 Mb
Release : 2017-09-19
Category : Mathematics
ISBN : 9783319589886

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Putnam and Beyond by Răzvan Gelca,Titu Andreescu Pdf

This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.