代数(英文版)

作者T.W.HungerfordW.Hungerford
出版社
出版时间2003-01-01

特色:

Theguidingphilosophicalprinciplethroughoutthebookisthatthematerialshouldbepresentedinthemaximumuseablegeneralityconsistentwithgoodpedagogy.TheprincipleisrelativelyeasytoapplytoVarioustechnicalquestions.Itismoredifficulttoapplytobroaderquestionsofconceptualorganization.Ontheonehand,forexample,thestudentmustbemadeawareofrelativelyrecentinsightsintothenatureofalgebra:theheartofthematteristhestudyofmorphisms(maps);manydeepandimportantconceptsarebestviewedasuniversalmappingproperties.Ontheotherhand,ahighlevelofabstractionandgeneralityisbestappreciatedandfullyunderstoodonlybythosewhohaveafirmgroundinginthespecialsituationswhichmotivatedtheseabstractions.Consequently,conceptswhichcanbecharacterizedbyauniversalmappingpropertyarenotdefinedviathispropertyiffthereisavailableadefinitionwhichismorefamiliartoorcomprehensiblebythestudent.

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