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英文原文(第1页)

英文原文

&erM。Higgins

Numbers

&Introdu

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。Nowadayswearemuchmoresureofourselveswhewedoanddon'toworryaboutwhehnumbers,makingitpossibletogiveapletepiberworldiatlikethisoisnottosaythatallmysteryhasvanished–farfromit,asyouwilldiscoverasyoureadon。

&erM。Higgins

Cland,2011

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