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| 內容簡介： |
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Inthisbook，welistandintroducesomeinteresting，importantorusefulmathematicsbooks.Mostselectedbookswerepublishedduringthetwentiethcentury.Fortheconvenienceofthereader，wehavearrangedbooksaccordingtotopics.Besidessomeintroductionsandcomments，wealsoquotefrominformativereviewsofthesebooksfromsourcesincludingMathSciNet，ZentralblattMathandtheBulletinoftheAmericanMathematicaSociety.Acommonwayforpeopletopickoutbookstoreadistofollowrecommendationsofeitherbookreviewsorexperts.Thelistofbooksisprobablythemostinterestingpartofthisbook，Oncethetitlesorauthors''namesareknown，itisrelativelyeasytofindvaluableinformationandreviewsaboutthebookfrommanydifferentsources（butitmighttakesomeeffortstofindgoodbooksonsubjectsoutsideone''sexpertise.）Inspiteofthis，wehopethatadditionalinformationprovidedhereaboutthesebooksmightbehelpfulandconvenient.
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| 關於作者： |
lizhenjiisaprofessorofmathematicsatuniversityofmichiganandstudiessubjectsrelatedtoliegroups，discretesubgroupsofliegroups，transformationgroupsandrelatedspaces.helovesbooksandisachief-editoroffourbookseries：advancedlecturesinmathematics，mathematicsandhumanities，panoramaofmathematics，surveysofmodernmathematics，andofthejournalpureandappliedmathematicsquarterly.heisalsoaneditorofjournalsasianjournalofmathematicsandscienceinchina：mathematics.
hewasasloanfellowandreceivedthensfpostdoctoralfellowshipandthemorningsidesilvermedalofmathematics.heenjoyslisteningtogoodmathematicstalksondiversetopicsandhasorganizedover30summerschools，conferencesorworkshops.heisalsoanactiveorganizerofseminarsandcolloquiums.forexample，heistheorganizerofoneofthefirstseminarscalled“whatis...”intheworld.
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| 目錄：
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1、Introduction
2、ExpositoryBooksOnMathematicsAndMathematicians
2.1PopularAndExpositoryBooksOnMathematics
2.1.1R.Courant,H.Robbins,WhatIsMathematics?OxfordUniversityPress,NewYork,1941.Xix+521Pp
2.1.2A.D.Aleksandrov,A.N.Kolmogorov,M.A.Lavrent''ev,Mathematics：ItsContent,Methods,AndMeaning.Vol.I,Vol.Ii,Vol.Iii,TheM.I.T.Press,Cambridge,Mass.,1963,Xi+359Pp.;Xi+377Pp.;Xi+356Pp..TranslatedByS.H.GouldAndT.Bartha;S.H.Gould;K.Hirsch
2.1.3G.P\''Olya,HowToSolveIt.ANewAspectOfMathematicalMethod.ExpandedVersionOfThe1988Edition,WithANewForewordByJohnH.Conway,PrincetonScienceLibrary,PrincetonUniversityPress,2004.Xxviii+253Pp
2.1.4G.H.Hardy,AMathematician''sApology,WithAForewordByC.P.Snow,ReprintOfThe1967Edition,Canto,CambridgeUniversityPress,Cambridge,1992
2.1.5J.E.Littlewood,Littlewood''sMiscellany,EditedAndWithAForewordByBolaBollobas,CambridgeUniversityPress,Cambridge,1986.Vi+200Pp
2.1.6AutobiographiesOfMathematicians
2.1.7H.Weyl,Symmetry.ReprintOfThe1952Original.PrincetonScienceLibrary.PrincetonUniversityPress,Princeton,N.J.,1989
2.1.8D.Hilbert,S.Cohn-Vossen,GeometryAndTheImagination,AmericanMathematicalSociety,1,1999.357Pages
2.2BiographiesOfMathematiciansAndHistoryOfMathematics
2.2.1E.T.Bell,MenOfMathematics,Touchstone,1986.608Pages
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3、Analysis
4、Algebra
5、Geometry
6、Topology
7、NumberTheory
8、DifferentialEquations
9、LieTheories
10、MathematicalPhysics,DynamicalSystemsAndErgodicTheory
11、DiscreteMathematicsAndCombinatorics
12、ProbabilityAndApplications
13、FoundationsOfMath,ComputerScience,NumericalMath
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| 內容試閱：
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Stewartisafamouswriterofpopularmathematics，andthisbookisprobablyoneofthebestbookshehaswritten.Thoughitcoversmanystandardtopicsrelatedtogrouptheoryandsymmetry，hisbroadknowledgeabouthistoryandmathematicsmakesthisauniquebookamongmanybooksonsymmetry.
AccordingtoMathSciNet，"IanStewarthaswrittenastoryaboutsymmetryanditsroleinmathematicsandphysics，beginningwiththeBabyloniansandendingwithmodernphysics.It''sabookforthenon-mathematicianwhowouldliketolearnsomethingaboutthenatureofmathematics，andsoperhapsthereisnobettersubjectforsuchabookthansymmetry，anenticingpropertythatiswellknowntomostreadersthroughartandmusic.ButStewart''sbookisnotapicturebook，thoughitiswellillustrated.Neitherdoesitcontainmanyformulas，thoughtheauthortreatsmathematicsinaseriousway.Thebook''sintentionistodescribewhatsymmetrymeanstomathematiciansandwhyithasplayedsuchanimportantrolethroughouttheagesinbothmathematicsandphysics.Thereaderbeginstoseewhyandhowabstractmathematicalthoughtisintimatelyconnectedwithtruth，beauty，andthenatureofthephysicaluniverse.Theauthoralsoentertainsthereaderwithstoriesaboutthe''muddleofmathematicians''wemeetasthestoryunfolds."
AccordingtoPublishersWeekly，"whilethemathbehindsymmetryisimportant，theheartofthishistoryliesinitscharacters，fromahypotheticalBabylonianscribewithaseriouscaseofmathanxiety，throughEvaristeGalois（inventorof''grouptheory''），killedat21inaduel，andWilliamHamilton，whoseeurekamomentcamein''aflashofintuitionthatcausedhimtovandalizeabridge，''toAlbertEinsteinandthequantumphysicistswhousedgrouptheoryandsymmetrytodescribetheuniverse."J.Rosen，Sym''metryDiscovered：ConceptsandApplicationsinNatureandScience，Revisedreprintofthe1975original，DoverPublications，Inc.，Mineola，NY，1998.xiv+152pp.Thisisagoodintroductiontogrouptheoryandapplicationsofsymmetry.Itiselementary，andconceptsanddefinitionsarecarefullyexplained.AccordingtoMathSciNet，"Thisisanentertainingintroductiontogeometricalrepresentationsofdiscretegroups，enlivenedbyabundantillustrationsanddelightfullyrelevantquotationsfrombooksbyA.A.Milne.Theconceptofsymmetryisextendedfromisometriestosimilarities，andfromgeometrytophysicsimusicandbiology.ThusthebookmightberegardedasamoderncounterpartforH.Weyl''sbookSy''m''metry"''，thoughitlacksWeyl''spolishedstyle."
Rosenisaphysicistandhasalsowrittenotherbooksongrouptheoryandsymmetry.Thebasicpointofthesebooksisthatsciencedoesnotonlymakeuseofsymmetry，butisessentiallysymmetry.Indeed，sciencebuildsonthefoundationofreproducibility，predictability，andreduction，allofwhicharesymmetries.
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