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1、UndergraduateTopicsinComputerScienceDana?VrajitoruWilliam?KnightPracticalAnalysisofAlgorithmsUndergraduateTopicsinComputerScienceSerieseditorIanMackieAdvisoryBoardSamsonAbramsky,UniversityofOxford,Oxford,UKKarinBreitman,Ponti?calCatholicUniversityofRiodeJaneiro,RiodeJaneiro,BrazilChri
2、sHankin,ImperialCollegeLondon,London,UKDexterKozen,CornellUniversity,Ithaca,USAAndrewPitts,UniversityofCambridge,Cambridge,UKHanneRiisNielson,TechnicalUniversityofDenmark,KongensLyngby,DenmarkStevenSkiena,StonyBrookUniversity,StonyBrook,USAIainStewart,UniversityofDurham,Durham,UKUnder
3、graduateTopicsinComputerScience(UTiCS)delivershigh-qualityinstructionalcontentforundergraduatesstudyinginallareasofcomputingandinformationscience.Fromcorefoundationalandtheoreticalmaterialto?nal-yeartopicsandapplications,UTiCSbookstakeafresh,concise,andmodernapproachandareidealforself
4、-studyorforaone-ortwo-semestercourse.Thetextsareallauthoredbyestablishedexpertsintheir?elds,reviewedbyaninternationaladvisoryboard,andcontainnumerousexamplesandproblems.Manyincludefullyworkedsolutions.Moreinformationaboutthisseriesathttp://www.springer.com/series/7592DanaVrajitoru?Wil
5、liamKnightPracticalAnalysisofAlgorithms123DanaVrajitoruWilliamKnightIndianaUniversitySouthBend,INUSAISSN1863-7310ISSN2197-1781(electronic)UndergraduateTopicsinComputerScienceISBN978-3-319-09887-6ISBN978-3-319-09888-3(eBook)DOI10.1007/978-3-319-09888-3LibraryofCongressControlNumber:201
6、4946382SpringerChamHeidelbergNewYorkDordrechtLondon?SpringerInternationalPublishingSwitzerland2014Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartofthematerialisconcerned,speci?callytherightsoftranslation,reprinting,reuseofillustrations,recitation,
7、broadcasting,reproductiononmicro?lmsorinanyotherphysicalway,andtransmissionorinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdeveloped.Exemptedfromthislegalreservationarebriefexcerptsinconnectionwithreviewsorsch
8、olarl
