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