introduction xv.tubular extensions and tubular coextensions of algebras xv.1.one-point extensions and one-point coextensions of algebras xv.2.tubular extensions and tubular coextensions of algebras xv.3.branch extensions and branch coextensions of algebras xv.4.tubular extensions and tubular coextensions of concealed algebras of euclidean type xv.5.exercises xvi.branch algebras xvi.1.branches and finite line extensions xvi.2.tilted algebras of an equioriented type am xvi.3.exercises xvii. tilted algebras of euclidean type xvii.1.stone cones in hereditary standard stable tubes xvii.2.tilting with hereditary standard stable tubes xvii.3.representation-infinite tilted algebras of euclidean type xvii.4.domestic tubular extensions and domestic tubular coextensions of concealed algebras of euclidean type xvii.5.a classification of tilted algebras of euclidean type xvii.6.a controlled property of the euler form of tilted algebras of euclidean type xvii.7.exercises xviii.wild hereditary algebras and tilted algebras of wild type xviii.1.regular components xviii.2.homomorphisms between regular modules xviii.3.perpendicular categories xviii.4.wild behaviour of the module category xviii.5.tilted algebras of wild type xviii.6.exercises xix.tame and wild representation type of algebras xix.1.wild representation type xix.2.indecomposable modules over the polynomial algebra k[t] xix.3.tame representation type xix.4.exercises xx.perspectives xx.1.components of the auslander-reiten quiver of an algebra xx.2.the tits quadratic form of an algebra xx.3.tilted and quasitilted algebras xx.4.algebras of small homological dimensions xx.5.selfinjective algebras of tilted and quasitilted type xx.6.related topics and research directions bibliography index list of symbols