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.