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An invitation to knot theory : virtual and classical /

The Only Undergraduate Textbook to Teach Both Classical and Virtual Knot Theory An Invitation to Knot Theory: Virtual and Classical gives advanced undergraduate students a gentle introduction to the field of virtual knot theory and mathematical research. It provides the foundation for students to re...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Dye, Heather A. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boca Raton : CRC Press, Taylor & Francis Group, [2016]
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Dye, Heather A.,  |e author. 
245 1 3 |a An invitation to knot theory :  |b virtual and classical /  |c Heather A. Dye (McKendree University, Lebanon, Illinois, USA). 
264 1 |a Boca Raton :  |b CRC Press, Taylor & Francis Group,  |c [2016] 
264 4 |c ©2016 
300 |a 1 online resource :  |b text file, PDF 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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500 |a "A Chapman & Hall Book." 
504 |a Includes bibliographical references (pages 239-251) and index. 
505 0 |a Front Cover; Dedication; Contents; List of Figures; List of Tables; Preface; Acknowledgments; About the author; Symbol List; Section I -- Knots and crossings; Chapter 1 -- Virtual knots and links; Chapter 2 -- Linking invariants; Chapter 3 -- A multiverse of knots; Chapter 4 -- Crossing invariants; Chapter 5 -- Constructing knots; Section II -- Knot polynomials; Chapter 6 -- The bracket polynomial; Chapter 7 -- Surfaces; Chapter 8 -- Bracket polynomial II; Chapter 9 -- The checkerboard framing; Chapter 10 -- Modifications of the bracket polynomial; Section III -- Algebraic structures. 
505 8 |a Chapter 11 -- QuandlesChapter 12 -- Knots and quandles; Chapter 13 -- Biquandles; Chapter 14 -- Gauss diagrams; Chapter 15 -- Applications; Appendix A -- Tables; Appendix B -- References by chapter; Back Cover. 
520 3 |a The Only Undergraduate Textbook to Teach Both Classical and Virtual Knot Theory An Invitation to Knot Theory: Virtual and Classical gives advanced undergraduate students a gentle introduction to the field of virtual knot theory and mathematical research. It provides the foundation for students to research knot theory and read journal articles on their own. Each chapter includes numerous examples, problems, projects, and suggested readings from research papers. The proofs are written as simply as possible using combinatorial approaches, equivalence classes, and linear algebra. 
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