an introduction to mathematical cosmology 2nd ed. - j. islam

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1、TLFeBOOKThispageintentionallyleftblankTLFeBOOKANINTRODUCTIONTOMATHEMATICALCOSMOLOGYThisbookprovidesaconciseintroductiontothemathematicalaspectsoftheorigin,structureandevolutionoftheuniverse.Thebookbeginswithabriefoverviewofobservationalandtheoreticalcosmology,

2、alongwithashortintroductiontogeneralrelativity.ItthengoesontodiscussFriedmannmodels,theHubbleconstantanddecelerationparameter,singularities,theearlyuniverse,inflation,quantumcosmologyandthedistantfutureoftheuniverse.Thisneweditioncontainsarigorousderivationofth

3、eRobertson–Walkermetric.Italsodiscussesthelimitstotheparameterspacethroughvarioustheoreticalandobservationalconstraints,andpresentsanewinflationarysolutionforasixthdegreepotential.Thisbookissuitableasatextbookforadvancedundergradu-atesandbeginninggraduatestuden

4、ts.Itwillalsobeofinteresttocosmologists,astrophysicists,appliedmathematiciansandmathematicalphysicists.receivedhisPhDandScDfromtheUniversityofCambridge.In1984hebecameProfessorofMathematicsattheUniversityofChittagong,Bangladesh,andiscurrentlyDir

5、ectoroftheResearchCentreforMathematicalandPhysicalSciences,UniversityofChittagong.ProfessorIslamhasheldresearchpositionsinuniversitydepartmentsandinstitutesthroughouttheworld,andhaspublishednumerouspapersonquantumfieldtheory,generalrelativityandcosmology.Hehasa

6、lsowrittenandcontributedtoseveralbooks.TLFeBOOKTLFeBOOKANINTRODUCTIONTOMATHEMATICALCOSMOLOGYSecondeditionJ.N.ISLAMResearchCentreforMathematicalandPhysicalSciences,UniversityofChittagong,BangladeshTLFeBOOKTh

7、ePittBuilding,TrumpingtonStreet,Cambridge,UnitedKingdomTheEdinburghBuilding,CambridgeCB22RU,UK40West20thStreet,NewYork,NY10011-4211,USA477WilliamstownRoad,PortMelbourne,VIC3207,AustraliaRuizdeAlarcón13,28014Madrid,SpainDockHouse,TheWate

8、rfront,CapeTown8001,SouthAfricahttp://www.cambridge.org©CambridgeUniversityPress1992,2004Firstpublishedinprintedformat2001ISBN0-511-01849-5eBook(netLibrary)ISBN0-521-49650-0hardbac