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035   $a(DE-B1597)9783110198034
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100   $a20020830d2003      uy         0
101 0 $aeng
135   $aurcn|||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aKnots /$fGerhard Burde, Heiner Zieschang
205   $a2nd rev. and extended ed.
210   $aBerlin ;$aNew York $cWalter de Gruyter$d2003
215   $a1 online resource (572 p.)
225 1 $aDe Gruyter studies in mathematics ;$v5
300   $aDescription based upon print version of record.
311 0 $a3-11-017005-1 
320   $aIncludes bibliographical references (p. [367]-505) and indexes.
327   $tFront matter --$tContents --$tChapter 1. Knots and Isotopies --$tChapter 2. Geometric Concepts --$tChapter 3. Knot Groups --$tChapter 4. Commutator Subgroup of a Knot Group --$tChapter 5. Fibred Knots --$tChapter 6. A Characterization of Torus Knots --$tChapter 7. Factorization of Knots --$tChapter 8. Cyclic Coverings and Alexander Invariants --$tChapter 9. Free Differential Calculus and Alexander Matrices --$tChapter 10. Braids --$tChapter 11. Manifolds as Branched Coverings --$tChapter 12. Montesinos Links --$tChapter 13. Quadratic Forms of a Knot --$tChapter 14. Representations of Knot Groups --$tChapter 15. Knots, Knot Manifolds, and Knot Groups --$tChapter 16. The 2-variable skein polynomial --$tAppendix A. Algebraic Theorems --$tAppendix B. Theorems of 3-dimensional Topology --$tAppendix C. Tables --$tAppendix D. Knot Projections 01-949 --$tBack matter
330   $aThis book is an introduction to classical knot theory. Topics covered include: different constructions of knots, knot diagrams, knot groups, fibered knots, characterisation of torus knots, prime decomposition of knots, cyclic coverings and Alexander polynomials and modules together with the free differential calculus, braids, branched coverings and knots, Montesinos links, representations of knot groups, surgery of 3-manifolds and knots. Knot theory has expanded enormously since the first edition of this book published in 1985. A special feature of this second completely revised and extended
410  0$aGruyter studies in mathematics ;$v5.
606   $aKnot theory
606   $aMATHEMATICS / Geometry / General$2bisacsh
610   $aKnot Theory
610   $aMathematics
615  0$aKnot theory.
615  7$aMATHEMATICS / Geometry / General.
676   $a514/.224
700   $aBurde$b Gerhard$f1931-$0535866
701   $aZieschang$b Heiner$055310
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910829116703321
996   $aKnots$91455715
997   $aUNINA