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Preface
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Thepurposeofthislittlebookistoexplain，iwillbefamiliartoeveryoarethevariouskindsofariseandhowtheybehave.Numbersallowparisoweenallmahings，ahandingofnumberswouldbelostinthemodernwsnumericalaretheretogreetusateveryturn.Weshouldrealizehoitetheirfamiliarity，numbershavenophysicalexisteherareabstrasthatweelitheworldwefindourselvesin.Todevelopaclearpictureofhowtheyoperate，itissometimesbettertosiderthemintheirht，withoutreferehingelse.
ThisShortIntroduotarefresherarithmetiorwillthatmuchbesaidooryoftheeRatheritspurposeistoexplaihemselvesandthekiheyexhibit.Aglaofchaptersrevealsthatthefirstpartofthebookdealsmainlywithordinaryumbers，whileinthesedhalfwegobeyondthat.Byexplnaturalproblemsthatariseinerdseedtofreelyperformcalseventuallyhastakenus，bystages，intothearenaofthebers，whichistheprinderlyingframeworkformosters.Thismaysoundalittledauntiassured，thehardworkhasalreadybeendoneforyou.
Themoderemdidousgift-edbutratherhasdevelopedovermauries.Therewerelongperiodsof，whichhadtworootcauses.ThefirstwasthelaeffitresentthehatwouldalloulatetheThesed，whichwasrelatedtothefirst，hilosophiizierpretationsofvariousypesatheyaremeaningful.Nowadayswearemuchmoresureofourselveswhewedoanddooworryaboutwhehnumbers，makingitpossibletogiveapletepiberworldiatlikethisoisnottosaythatallmysteryhasvanished–farfromit，asyouwilldiscoverasyoureadon.
&erM.Higgins
Cland，2011
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