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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.
Aimed at undergraduate mathematics and computer science students, this book is an excellent introduction to a lot of problems of discrete mathematics. It discusses a number of selected results and methods, mostly from areas of combinatorics and graph theory, and it uses proofs and problem solving to help students understand the solutions to problems. Numerous examples, figures, and exercises are spread throughout the book.
One of the most effective ways to stimulate students to enjoy intellectual efforts is the scientific competition. In 1894 the Hungarian Mathematical and Physical Society introduced a mathematical competition for high school students. The success of high school competitions led the Mathematical Society to found a college level contest, named after Miklós Schweitzer. The problems of the Schweitzer Contests are proposed and selected by the most prominent Hungarian mathematicians. This book collects the problems posed in the contests between 1962 and 1991 which range from algebra, combinatorics, theory of functions, geometry, measure theory, number theory, operator theory, probability theory, topology, to set theory. The second part contains the solutions. The Schweitzer competition is one of the most unique in the world. The experience shows that this competition helps to identify research talents. This collection of problems and solutions in several fields in mathematics can serve as a guide for many undergraduates and young mathematicians. The large variety of research level problems might be of interest for more mature mathematicians and historians of mathematics as well.
Although the end of the Cold War was greeted with great enthusiasm by people in the East and the West, the ensuing social and especially economic changes did not always result in the hoped-for improvements in people's lives. This led to widespread disillusionment that can be observed today all across Eastern Europe. Not simply a longing for security, stability, and prosperity, this nostalgia is also a sense of loss regarding a specific form of sociability. Even some of those who opposed communism express a desire to invest their new lives with renewed meaning and dignity. Among the younger generation, it surfaces as a tentative yet growing curiosity about the recent past. In this volume scho...
Hungarian cinema began in cafes, and short films were projected at the Velence coffee-house in Budapest in the late 1890s. By 1912, a distinct film culture had formed in Hungary, which - unlike the imported American popular entertainment cinema - throughout its history has shown a commitment to the idea of film as art. This new book is a detailed historical, critical and appreciative account of the Hungarian cinema from its early days to the transforming 1990s, and provides an extended analysis of some 50 directors and their key films. It describes the ways in which the industry has developed, largely with the assistance of the state, especially since the Second World War, and shows how the Hungarian cinema has achieved an international success out of all proportion to its size, and despite the potential obstructions of language and culture. The author concludes with a survey of recent filmmaking activities, and a look towards the future in rapidly changing Eastern Europe. This book will appeal to all those interested in Hungarian and Eastern European film and history.
This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.
Drawing upon the literature of landscape geography, tourism studies, cultural studies, visual studies and philosophy, this book offers a multi-disciplinary approach to understanding the interaction between urban environments and tourists. This is a necessary prerequisite for cities as they make themselves into enticing destinations and compete for tourists' attention. It argues that tourists make sense of, and draw meaningful conclusions about, the places in which they tour based upon the interpretation of the signs or elements encountered within the built environment, elements such as graffiti and lamp posts. The writings of the American pragmatist Charles S. Peirce on interpretation provid...
For all its familiarity as a widely used term, "e;Kafkaesque cinema"e; remains an often-baffling concept that is poorly understood by film scholars. Taking a cue from Jorge Luis Borges' point that Kafka has modified our conception of past and future artists, and Andre Bazin's suggestion that literary concepts and styles can exceed authors and "e;novels from which they emanate"e;, this monograph proposes a comprehensive examination of Kafkaesque Cinema in order to understand it as part of a transnational cinematic tradition rooted in Kafka's critique of modernity, which, however, extends beyond the Bohemian author's work and his historical experiences. Drawing on a range of disciplines in the Humanities including film, literary, and theatre studies, critical theory, and history, Kafkaesque Cinema will be the first full-length study of the subject and will be a useful resource for scholars and students interested in film theory, World Cinema, World Literature, and politics and representation.