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&erM.Higgins
Numbers
&Introdu
Preface
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.Nowadayswearemuchmoresureofourselveswhewedoanddon'toworryaboutwhehnumbers,makingitpossibletogiveapletepiberworldiatlikethisoisnottosaythatallmysteryhasvanished–farfromit,asyouwilldiscoverasyoureadon.
&erM.Higgins
Cland,2011
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