内容简介
Thismajorsurveyfeaturestheworkof18outstandingmathematicians.Primarysubjectsincludeanalyticgeometry,algebra,ordinaryandpartialdifferentialequations,thecalculusofvariations,functionsofacomplexvariable,primenumbers,andtheoriesofprobabilityandfunctions.Othertopicsincludelinearandnon-Euclideangeometry,topology,functionalanalysis,more.1963edition.
作者简介
TheRussianEquationRepresentativeofthetremendousimpactwhichRussianmathematicianshavehadontheDoverlistsincetheSputnikeraisthisoutstandingbookeditedbyA.D.Aleksandrovandothers.CriticalAcclaimforMathematics:ItsContent,MethodsandMeaning:
"Ineffect,thesevolumespresentado-it-yourselfcourseforthepersonwhowouldliketoknowwhatthechieffieldsofmodernmathematicsareallaboutbutwhodoesnotaspiretobeaprofessionalmathematicianoraprofessionaluserofmathematics.Thecoverageisextremelywide,includingsuchimportantareasaslinearalgebra,grouptheory,functionalanalysis,ordinaryandpartialdifferentialequations,thetheoryoffunctionsofrealandcomplexvariables,andrelatedsubjects....Whatmakesthesevolumessoreadableascomparedwithusualmathematicstextbooksistheemphasishereuponbasicconceptsandresultsratherthanupontheintricateandwearyingproofsthatmakesuchdemandsinconventionaltextbooksandcourses.Thereareproofsinthesevolumes,butusuallytheyarepresentedonlyforthemostimportantresults,andeventhentoemphasizekeyareasandtoillustratethekindofmethodologyemployed....ItishardtoimaginethatanyintelligentAmericanwithacuriousmindandsomegoodrecollectionofhishighschoolandcollegemathematicswouldnotfindmanyentrancingdiscoveriesintheintellectualgoldminethatisthiswork."—TheNewYorkTimesBookReview"Anexcellentreferencesetforbrighthighschoolstudentsandbeginningcollegestudents...alsoofvaluetotheirteachersforluciddiscussionsandmanygoodelementaryexamplesinbothfamiliarandunfamiliarbranches.Theintelligentsiaoflaymenwhocaretotacklemorethantoday'spopularmagazinearticlesonmathematicswillfindmanyrewardingintroductionstosubjectsofcurrentinterest."—TheMathematicsTeacher"WhetheraphysicistwishestoknowwhataLiealgebraisorhowitisrelatedtoaLiegroup,oranundergraduatewouldliketobeginthestudyofhomology,oracrystallographerisinterestedinFedorovgroups,oranengineerinprobability,oranyscientistincomputingmachines,hewillfindhereaconnected,lucidaccount."—Science,,,,
