Mathematical Olympiad Challenges

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Beschreibung

Why Olympiads? Working mathematiciansoftentell us that results in the ?eld are achievedafter long experience and a deep familiarity with mathematical objects, that progress is made slowly and collectively, and that ?ashes of inspiration are mere punctuation in periods of sustained effort. TheOlympiadenvironment,incontrast,demandsarelativelybriefperiodofintense concentration,asksforquickinsightsonspeci?coccasions,andrequiresaconcentrated but isolated effort. Yet we have foundthat participantsin mathematicsOlympiadshave oftengoneontobecome?rst-classmathematiciansorscientistsandhaveattachedgreat signi?cance to their early Olympiad experiences. For many of these people, the Olympiad problem is an introduction, a glimpse into the world of mathematics not afforded by the usual classroom situation. A good Olympiad problem will capture in miniature the process of creating mathematics. Its all there: the period of immersion in the situation, the quiet examination of possible approaches, the pursuit of various paths to solution. There is the fruitless dead end, as well as the path that ends abruptly but offers new perspectives, leading eventually to the discoveryof a better route. Perhapsmost obviously,grapplingwith a goodproblem provides practice in dealing with the frustration of working at material that refuses to yield. If the solver is lucky, there will be the moment of insight that heralds the start of a successful solution. Like a well-crafted work of ?ction, a good Olympiad problem tells a story of mathematical creativity that captures a good part of the real experience and leaves the participant wanting still more. And this book gives us more.

Über den Autor

Teodora-Liliana Radulescu received her PhD in 2005 from Babes-Bolyai University of Cluj-Napoca, Romania, with a thesis on nonlinear analysis, and she is currently a professor of mathematics at the "Fratii Buzesti" National College in Craiova, Romania. She is a member of the American Mathematical Society and the Romanian Mathematical Society. She is also a reviewer for Mathematical Reviews and Zentralblatt fur Mathematik.
Vicentiu Radulescu received both his PhD and the Habilitation at the Université Pierre et Marie Curie (Paris 6), and he is currently a professor of mathematics at the University of Craiova, Romania and a senior researcher at the Institute of Mathematics "Simion Stoilow" of the Romanian Academy in Bucharest, Romania. He has authored 9 books and over 100 articles.
Titu Andreescu is an associate professor of mathematics at the University of Texas at Dallas. He is also firmly involved in mathematics contests and Olympiads, being the Director ofAMC (as appointed by the Mathematical Association of America), Director of MOP, Head Coach of the USA IMO Team and Chairman of the USAMO. He has also authored a large number of books on the topic of problem solving and Olympiad-style mathematics.

Zusammenfassung

404 beautiful, challenging, and instructive problems, all including solutions and discussion.

Organized by subject and difficulty to motivate students.

Covers topics in algebra, geometry, trigonometry, combinatorics, and number theory.

Provides historical insights and asides to stimulate further inquiry

Emphasizes creative solutions to open-ended problems

Inhaltsverzeichnis

Problems.- Geometry and Trigonometry.- Algebra and Analysis.- Number Theory and Combinatorics.- Solutions.- Geometry and Trigonometry.- Algebra and Analysis.- Number Theory and Combinatorics.

Details

Erscheinungsjahr:	2008
Fachbereich:	Allgemeines
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Thema:	Lexika
Medium:	Taschenbuch
Inhalt:	xvii 283 S. 108 s/w Illustr. 283 p. 108 illus.
ISBN-13:	9780817645281
ISBN-10:	0817645284
Sprache:	Englisch
Herstellernummer:	11612612
Einband:	Kartoniert / Broschiert
Autor:	Andreescu, Titu Gelca, Razvan
Auflage:	2nd edition 2009
Hersteller:	Birkhäuser Birkhäuser Boston
Verantwortliche Person für die EU:	Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße:	235 x 155 x 17 mm
Von/Mit:	Titu Andreescu (u. a.)
Erscheinungsdatum:	09.12.2008
Gewicht:	0,464 kg