00796cam0-2200301---450-99000463571040332120060705140111.088-7567-253-9000463571FED01000463571(Aleph)000463571FED0100046357119990604d1994----km-y0itay50------baitaIT--------001yyAngeli in carneLibero Paolo ArvediRavennaEdizioni del Girasolec1994.207 p.22 cmNarratori romagnoli4Arvedi,Libero Paolo184276ITUNINARICAUNIMARCBK990004635710403321P.3 B 14776FLFBCFLFBCAngeli in carne551917UNINA00888nam0 22002411i 450 UON0032982420231205104216.9820090903d1971 |0itac50 baporBR|||| |||||ˆA ‰cronica do medoL. Ricardo HoffmannRio de JaneiroInstituto Nacional do Livro1971209 p.21 cm.BRRio de JaneiroUONL001554HOFFMANNL. RicardoUONV187723700885Instituto Nacional do LivroUONV274743650ITSOL20240220RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEOUONSIUON00329824SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI Bras III 0462 SI LO 569 5 0462 Cronica do medo1367107UNIOR04683nam 22007215 450 991097111780332120251124202259.01-4612-6869-91-4612-0691-X10.1007/978-1-4612-0691-0(CKB)3400000000089229(SSID)ssj0000806845(PQKBManifestationID)12426402(PQKBTitleCode)TC0000806845(PQKBWorkID)10750957(PQKB)10460158(SSID)ssj0001297217(PQKBManifestationID)11858107(PQKBTitleCode)TC0001297217(PQKBWorkID)11363026(PQKB)11527775(DE-He213)978-1-4612-0691-0(MiAaPQ)EBC3073377(PPN)23800791X(EXLCZ)99340000000008922920121227d1997 u| 0engurnn#008mamaatxtccrAn Introduction to Knot Theory /by W.B.Raymond Lickorish1st ed. 1997.New York, NY :Springer New York :Imprint: Springer,1997.1 online resource (X, 204 p.)Graduate Texts in Mathematics,2197-5612 ;175"With 114 Illustrations."0-387-98254-X Includes bibliographical references and index.1. A Beginning for Knot Theory -- Exercises -- 2. Seifert Surfaces and Knot Factorisation -- Exercises -- 3. The Jones Polynomial -- Exercises -- 4. Geometry of Alternating Links -- Exercises -- 5. The Jones Polynomial of an Alternating Link -- Exercises -- 6. The Alexander Polynomial -- Exercises -- 7. Covering Spaces -- Exercises -- 8. The Conway Polynomial, Signatures and Slice Knots -- Exercises -- 9. Cyclic Branched Covers and the Goeritz Matrix -- Exercises -- 10. The Arf Invariant and the Jones Polynomia -- Exercises -- 11. The Fundamental Group -- Exercises -- 12. Obtaining 3-Manifolds by Surgery on S3 -- Exercises -- 13. 3-Manifold Invariants From The Jones Polynomial -- Exercises -- 14. Methods for Calculating Quantum Invariants -- Exercises -- 15. Generalisations of the Jones Polynomial -- Exercises -- 16. Exploring the HOMFLY and Kauffman Polynomials -- Exercises -- References.This account is an introduction to mathematical knot theory, the theory of knots and links of simple closed curves in three-dimensional space. Knots can be studied at many levels and from many points of view. They can be admired as artifacts of the decorative arts and crafts, or viewed as accessible intimations of a geometrical sophistication that may never be attained. The study of knots can be given some motivation in terms of applications in molecular biology or by reference to paralĀ­ lels in equilibrium statistical mechanics or quantum field theory. Here, however, knot theory is considered as part of geometric topology. Motivation for such a topological study of knots is meant to come from a curiosity to know how the geĀ­ ometry of three-dimensional space can be explored by knotting phenomena using precise mathematics. The aim will be to find invariants that distinguish knots, to investigate geometric properties of knots and to see something of the way they interact with more adventurous three-dimensional topology. The book is based on an expanded version of notes for a course for recent graduates in mathematics given at the University of Cambridge; it is intended for others with a similar level of mathematical understanding. In particular, a knowledge of the very basic ideas of the fundamental group and of a simple homology theory is assumed; it is, after all, more important to know about those topics than about the intricacies of knot theory.Graduate Texts in Mathematics,2197-5612 ;175Manifolds (Mathematics)Group theoryMathematical physicsManifolds and Cell ComplexesGroup Theory and GeneralizationsTheoretical, Mathematical and Computational PhysicsManifolds (Mathematics)Group theory.Mathematical physics.Manifolds and Cell Complexes.Group Theory and Generalizations.Theoretical, Mathematical and Computational Physics.514/.224Lickorish W. B. Raymondauthttp://id.loc.gov/vocabulary/relators/aut61928MiAaPQMiAaPQMiAaPQBOOK9910971117803321Introduction to knot theory83384UNINA