E_ The theory of probability- explorations and applications 2012

E_ The theory of probability- explorations and applications 2012

ID:40895140

大小:5.79 MB

页数:832页

时间:2019-08-10

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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

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