书目

MatroidTheory

内容简介

Thetheoryofmatroidsconnectsdisparatebranchesofcombinatorialtheoryandalgebrasuchasgraphandlatticetheory,combinatorialoptimization,andlinearalgebra.Aimedatadvancedundergraduateandgraduatestudents,thistextisoneoftheearliestsubstantialworksonmatroidtheory.Itsauthor,D.J.A.Welsh,ProfessorofMathematicsatOxfordUniversity,hasexercisedaprofoundinfluenceoverthetheory'sdevelopment.
Thefirsthalfofthetextdescribesstandardexamplesandinvestigationresults,usingelementaryproofstodevelopbasicmatroidpropertiesandreferringreaderstotheliteratureformorecomplexproofs.Thesecondhalfadvancestoamoresophisticatedtreatment,addressingavarietyofresearchtopics.PraisedbytheBulletinoftheAmericanMathematicalSocietyas"ausefulresourceforboththenoviceandtheexpert,"thistextfeaturesnumeroushelpfulexercises.,

丛书

DoverBooksonMathematics

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