内容简介
Thisbookpresentsstate-of-the-artresearchonthedistributionmodulooneofsequencesofintegralpowersofrealnumbersandrelatedtopics.Mostoftheresultshaveneverbeforeappearedinonebookandmanyofthemwereprovedonlyduringthelastdecade.Topicscoveredincludethedistributionmodulooneoftheintegralpowersof3/2andthefrequencyofoccurrenceofeachdigitinthedecimalexpansionofthesquarerootoftwo.Theauthortakesapointofviewfromcombinatoricsonwordsandintroducesavarietyoftechniques,includingexplicitconstructionsofnormalnumbers,Schmidt'sgames,Rieszproductmeasuresandtranscendenceresults.Withnumerousexercises,thebookisidealforgraduatecoursesonDiophantineapproximationorasanintroductiontodistributionmoduloonefornon-experts.Specialistswillappreciatetheinclusionofover50openproblemsandtherichandcomprehensivebibliographyofover700references.
作者简介
JohnnyT.OttesenisaProfessorofMathematicsandPhysicsatRoskildeUniversity,Denmark.Hismainresearchinterestsincludemathematicalmodelingofbiologicalsystems,biofluids,optimalcontrol,scientificcomputing,anddynamicalsystems.Heisaleadingresearcherintheareaofmodelingofphysiologicalsystems,especiallyinmodelingthecardiovascularsystemanditscontrolmechanisms.Hehasalsocontributedtoresearchintheteachingofmathematicalmodelingatalluniversitylevels.HehasbeenaVisitingResearcherattheUniversityofCalifornia,SantaBarbaraandatRIMS,Kyoto,Japan.MetteS.OlufsenisaProfessorofMathematicsatNorthCarolinaStateUniversity.Herresearchisinthefieldsofbiofluiddynamics,computationalneuroscience,scientificcomputation,andinterdisciplinaryresearchinmathematicalbiology.Inparticularsheisinterestedinmultiscalemodelingincludingmodelsfromdetailedfluiddynamicsmodelstolumpedcompartmentalmodels.JesperK.LarsenisDirectorofMath-TechandanappliedmathematicseducatoratthedepartmentofMathematicsandPhysicsatRoskildeUniversity,Denmark.Hisresearchareasincludeappliedmathematicalmodeling,andhewasoneofthefoundersofthesimulationprojectSIMA(SIMulationinAnesthesia),whichwastheprojectthatbroughttogetherallthecontributionsdocumentedinthisbook.
