资源描述:
《E_ The theory of probability- explorations and applications 2012》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、THETHEORYOFPROBABILITYFromclassicalfoundationstoadvancedmoderntheory,thisself-containedandcomprehensiveguidetoprobabilityweavestogethermathematicalproofs,historicalcontext,andrichlydetailedillustrativeapplications.Atheoremdiscoveryapproachisusedthroughout,settingeachproofwithinitshistoricalsetti
2、ng,andisaccompaniedbyaconsistentemphasisonelementarymethodsofproof.Eachtopicispresentedinamodularframework,combiningfundamentalconceptswithworkedexamples,problemsanddigressionswhich,althoughmathematicallyrigorous,requirenospecialisedoradvancedmathematicalbackground.Augmentingthiscorematerialareo
3、ver80richlyembellishedpracticalapplica-tionsofprobabilitytheory,drawnfromabroadspectrumofareasbothclassicalandmodern,eachtailor-madetoillustratethemagnificentscopeoftheformalresults.Over500homeworkproblemsandmorethan250workedexamplesareincluded.Providingasolidgroundinginpracticalprobability,witho
4、utsacrificingmathe-maticalrigourorhistoricalrichness,thisinsightfulbookisafascinatingreference,andessentialresource,forallengineers,computerscientistsandmathematicians.santoshs.venkateshisanAssociateProfessorofElectricalandSystemsEngineeringattheUniversityofPennsylvania,whoseresearchinterestsincl
5、udeprobability,information,communicationandlearningtheory,patternrecognition,computationalneuroscience,epidemiologyandcomputersecurity.HeisamemberoftheDavidMahoneyInstituteforNeurologicalSciences,andhasbeenawardedtheLindbackAwardforDistinguishedTeaching.‘Thisisagentleandrichbookthatisadelighttor
6、ead.Gentlenesscomesfromtheattentiontodetail;fewreaderswilleverfindthemselves“stuck”onanystepsofthederivationsorproofs.Richnesscomesfromthemanyexamplesandhistoricalanecdotesthatsupportthecentralthemes.Thetextwillsupportcoursesofmanystylesanditisespeciallyattractiveforself-guidedstudy.’J.J.MichaelS
7、teele,UniversityofPennsylvania‘Thisbookdoesanexcellentjobofcoveringthebasicmaterialforafirstcourseinthetheoryofprobability.Itisnotablefortheentertainingcoverageofmanyinterestingexamples,severalofwhichgiveatasteofsignificantfiel