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m y t h e m a t i c s (cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1) This page intentionally left blank Mythematics (cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1) s o l v i n g t h e t w e l v e l a b o r s o f h e r c u l e s Michael Huber PrincetonUniversityPress PrincetonandOxford Copyright©2009byPrincetonUniversityPress RequestsforpermissiontoreproducematerialfromthisworkshouldbesenttoPermissions, PrincetonUniversityPress PublishedbyPrincetonUniversityPress, 41WilliamStreet,Princeton,NewJersey08540 IntheUnitedKingdom:PrincetonUniversityPress,6OxfordStreet,Woodstock, OxfordshireOX201TW AllRightsReserved LibraryofCongressCataloging-in-PublicationData Huber,MichaelR.,1960- Mythematics:solvingthetwelvelaborsofHercules/MichaelHuber. p.cm. Includesbibliographicalreferencesandindex. ISBN978-0-691-13575-5(alk.paper) 1.Problemsolving. 2.Heracles(Greekmythology) I.Title. QA63.H832009 510–dc22 2009008535 BritishLibraryCataloging-in-PublicationDataisavailable ThisbookhasbeencomposedinAdobeCaslonPro Printedonacid-freepaper.∞ press.princeton.edu TypesetbySRNovaPvtLtd,Bangalore,India PrintedintheUnitedStatesofAmerica 13579108642 i dedicate this book to my heroes— tomyfather,ErwinHuber, andinmemoryofmymother,MariaHuber. This page intentionally left blank c o n t e n t s (cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1) listofﬁgures xiii foreword xv Chapter1 TheFirstLabor:TheNemeanLion 1 1.1 TheTasks 2 1.1.1 ShootinganArrow 2 1.1.2 HerculesClosestheCaveMouth 2 1.1.3 Exercise:ZeusMakesaDeal 3 1.2 TheSolutions 3 1.2.1 ShootinganArrow 3 1.2.2 HerculesClosestheCaveMouth 6 1.2.3 Exercise:ZeusMakesaDeal 10 Chapter2 TheSecondLabor:TheLerneanHydra 13 2.1 TheTasks 13 2.1.1 OneHeadReplacedbyTwo 14 2.1.2 CauterizingtheHydra 14 2.2 TheSolutions 15 2.2.1 OneHeadReplacedbyTwo 15 2.2.2 CauterizingtheHydra 17 vii viii c o n t e n t s Chapter3 TheThirdLabor:TheHindofCeryneia 20 3.1 TheTasks 20 3.1.1 OptimizingtheHind’sJourney 21 3.1.2 CerynitianWork 21 3.1.3 Exercise:WorkwithaVariableForce 21 3.2 TheSolutions 22 3.2.1 OptimizingtheHind’sJourney 22 3.2.2 CerynitianWork 26 3.2.3 Exercise:WorkwithaVariableForce 27 Chapter4 TheFourthLabor:TheErymanthianBoar 29 4.1 TheTasks 30 4.1.1 Exercise:TheCentaurs’Wine 30 4.1.2 Chiron’sPoison 30 4.1.3 TheCaptureoftheBoar 31 4.2 TheSolutions 31 4.2.1 Exercise:TheCentaurs’Wine 32 4.2.2 Chiron’sPoison 34 4.2.3 TheCaptureoftheBoar 37 4.3 TheErymanthianSudokuPuzzle 40 Chapter5 TheFifthLabor:TheAugeanStables 41 5.1 TheTasks 42 5.1.1 TheHerdsofAugeas 42 5.1.2 Exercise:HydrostaticPressureontheStableWalls 43 5.1.3 CleaningtheStableswithTorricelli 43 5.2 TheSolutions 43 5.2.1 TheHerdsofAugeas 43 5.2.2 Exercise:HydrostaticPressureontheStableWalls 45 5.2.3 CleaningtheStableswithTorricelli 48 Chapter6 TheSixthLabor:TheStymphalianBirds 53 6.1 TheTasks 53 6.1.1 TheSpiralofArchimedes 54 6.1.2 ResonatingCastanets 54 6.1.3 Exercise:MonteCarloShootingScheme 55 c o n t e n t s ix 6.2 TheSolutions 55 6.2.1 TheSpiralofArchimedes 55 6.2.2 ResonatingCastanets 59 6.2.3 Exercise:AMonteCarloShootingScheme 64 Chapter7 TheSeventhLabor:TheCretanBull 69 7.1 TheTasks 69 7.1.1 Exercise:RidingtheBull 70 7.1.2 TheMarathonAttacks 70 7.2 TheSolutions 70 7.2.1 Exercise:RidingtheBull 70 7.2.2 TheMarathonAttacks 73 Chapter8 TheEighthLabor:TheHorsesofDiomedes 76 8.1 TheTasks 76 8.1.1 DrivingtheMarestotheSea 77 8.1.2 Hercules’Slingshot 77 8.1.3 Exercise:TheCityofAbdera 78 8.2 TheSolutions 78 8.2.1 DrivingtheMarestotheSea 78 8.2.2 Hercules’Slingshot 81 8.2.3 Exercise:TheCityofAbdera 83 8.3 TheDiomedesSudokuPuzzle 87 Chapter9 TheNinthLabor:TheBeltofHippolyte 89 9.1 TheTasks 90 9.1.1 TheSonsofMinosversusHercules 91 9.1.2 TheAmazonsandtheSpreadofaRumor 91 9.1.3 Exercise:HerculesandtheKraken 92 9.2 TheSolutions 92 9.2.1 TheSonsofMinosversusHercules 92 9.2.2 TheAmazonsandtheSpreadofaRumor 98 9.2.3 Exercise:HerculesandtheKraken 101

Mythematics: Solving the Twelve Labors of Hercules PDF

206 Pages·2009·1.438 MB·English

by Michael Huber

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Author:	Michael Huber
Publication Year:	2009
ISBN:	9780691135755
Pages:	206
Language:	English
File Size:	1.438
Format:	PDF
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