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. It¿s 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.

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:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Thema:	Lexika
Medium:	Taschenbuch
Seiten:	304
Inhalt:	xvii 283 S. 108 s/w Illustr. 283 p. 108 illus.
ISBN-13:	9780817645281
ISBN-10:	0817645284
Sprache:	Englisch
Herstellernummer:	11612612
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Gelca, Razvan Andreescu, Titu
Auflage:	2nd ed. 2009
Hersteller:	Birkhuser Boston Birkhäuser Boston
Maße:	235 x 155 x 17 mm
Von/Mit:	Razvan Gelca (u. a.)
Erscheinungsdatum:	09.12.2008
Gewicht:	0,464 kg

preigu-id: 102154962