作者	R.BottBottLoringW.Tu
出版社
出版时间	1999-11-01

特色：

Theguidingprincipleinthisbookistousedifferentialformsasanaidinexploringsomeofthelessdigestibleaspectsofalgebraictopology.Accordingly,wemoveprimarilyintherealmofsmoothmanifoldsandusethedeRhamtheoryasaprototypeofallofcohomology.Forapplicationstohomotopytheorywealsodiscussbywayofanalogycohomologywitharbitrarycoefficients.Althoughwehaveinmindanaudiencewithpriorexposuretoalgebraicordifferentialtopology,forthemostpartagoodknowledgeoflinearalgebra,advancedcalculus,andpoint-settopologyshouldsuffice.Someacquaintancewithmanifolds,simplicialcomplexes,singularhomologyandcohomology,andhomotopygroupsishelpful,butnotreallynecessary.Withinthetextitselfwehavestatedwithcarethemoreadvancedresultsthatareneeded,sothatamathematicallymaturereaderwhoacceptsthesebackgroundmaterialsonfaithshouldbeabletoreadtheentirebookwiththeminimalprerequisites.