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The Resource An Introduction to Knot Theory, by W.B.Raymond Lickorish, (electronic resource)
An Introduction to Knot Theory, by W.B.Raymond Lickorish, (electronic resource)
Resource Information
The item An Introduction to Knot Theory, by W.B.Raymond Lickorish, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item An Introduction to Knot Theory, by W.B.Raymond Lickorish, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This account is an introduction to mathematical knot theory, the theory of knots and links of simple closed curves in threedimensional 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 paral 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 ge ometry of threedimensional 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 threedimensional 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
 Language

 eng
 eng
 Edition
 1st ed. 1997.
 Extent
 1 online resource (X, 204 p.)
 Note
 "With 114 Illustrations."
 Contents

 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 3Manifolds by Surgery on S3
 Exercises
 13. 3Manifold 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
 Isbn
 9781461268697
 Label
 An Introduction to Knot Theory
 Title
 An Introduction to Knot Theory
 Statement of responsibility
 by W.B.Raymond Lickorish
 Language

 eng
 eng
 Summary
 This account is an introduction to mathematical knot theory, the theory of knots and links of simple closed curves in threedimensional 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 paral 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 ge ometry of threedimensional 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 threedimensional 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
 http://library.link/vocab/creatorName
 Lickorish, W.B.Raymond
 Dewey number
 514/.224
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 x2D1IqOj3_I
 Image bit depth
 0
 Language note
 English
 LC call number

 QA613613.8
 QA613.6613.66
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Graduate Texts in Mathematics,
 Series volume
 175
 http://library.link/vocab/subjectName

 Cell aggregation
 Group theory
 Manifolds and Cell Complexes (incl. Diff.Topology)
 Group Theory and Generalizations
 Theoretical, Mathematical and Computational Physics
 Label
 An Introduction to Knot Theory, by W.B.Raymond Lickorish, (electronic resource)
 Note
 "With 114 Illustrations."
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code
 cr
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Contents
 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 3Manifolds by Surgery on S3  Exercises  13. 3Manifold 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
 Dimensions
 unknown
 Edition
 1st ed. 1997.
 Extent
 1 online resource (X, 204 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781461268697
 Level of compression
 uncompressed
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9781461206910
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000089229
 (SSID)ssj0000806845
 (PQKBManifestationID)12426402
 (PQKBTitleCode)TC0000806845
 (PQKBWorkID)10750957
 (PQKB)10460158
 (SSID)ssj0001297217
 (PQKBManifestationID)11858107
 (PQKBTitleCode)TC0001297217
 (PQKBWorkID)11363026
 (PQKB)11527775
 (DEHe213)9781461206910
 (MiAaPQ)EBC3073377
 (EXLCZ)993400000000089229
 Label
 An Introduction to Knot Theory, by W.B.Raymond Lickorish, (electronic resource)
 Note
 "With 114 Illustrations."
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code
 cr
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Contents
 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 3Manifolds by Surgery on S3  Exercises  13. 3Manifold 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
 Dimensions
 unknown
 Edition
 1st ed. 1997.
 Extent
 1 online resource (X, 204 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781461268697
 Level of compression
 uncompressed
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9781461206910
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000089229
 (SSID)ssj0000806845
 (PQKBManifestationID)12426402
 (PQKBTitleCode)TC0000806845
 (PQKBWorkID)10750957
 (PQKB)10460158
 (SSID)ssj0001297217
 (PQKBManifestationID)11858107
 (PQKBTitleCode)TC0001297217
 (PQKBWorkID)11363026
 (PQKB)11527775
 (DEHe213)9781461206910
 (MiAaPQ)EBC3073377
 (EXLCZ)993400000000089229
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Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



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Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/AnIntroductiontoKnotTheorybyW.B.Raymond/gccZZ1oTWCM/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/AnIntroductiontoKnotTheorybyW.B.Raymond/gccZZ1oTWCM/">An Introduction to Knot Theory, by W.B.Raymond Lickorish, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>