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An Interactive Introduction to Knot Theory Vital Source e-bog
Inga Johnson og Allison K. Henrich
(2017)
Dover Publications
227,00 kr.
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An Interactive Introduction to Knot Theory
Allison K. Henrich og Inga Johnson
(2017)
Sprog: Engelsk
Dover Publications, Incorporated
197,00 kr.
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Detaljer om varen
- Vital Source searchable e-book (Reflowable pages)
- Udgiver: Dover Publications (Januar 2017)
- Forfattere: Inga Johnson og Allison K. Henrich
- ISBN: 9780486818740
This well-written and engaging volume, intended for undergraduates, introduces knot theory, an area of growing interest in contemporary mathematics. The hands-on approach features many exercises to be completed by readers. Prerequisites are only a basic familiarity with linear algebra and a willingness to explore the subject in a hands-on manner. The opening chapter offers activities that explore the world of knots and links — including games with knots — and invites the reader to generate their own questions in knot theory. Subsequent chapters guide the reader to discover the formal definition of a knot, families of knots and links, and various knot notations. Additional topics include combinatorial knot invariants, knot polynomials, unknotting operations, and virtual knots.
Licens varighed:
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: -1 sider kan printes ad gangen
Copy: højest -1 sider i alt kan kopieres (copy/paste)
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: -1 sider kan printes ad gangen
Copy: højest -1 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- Paperback: 128 sider
- Udgiver: Dover Publications, Incorporated (Februar 2017)
- Forfattere: Allison K. Henrich og Inga Johnson
- ISBN: 9780486804637
This well-written and engaging volume, intended for undergraduates, introduces knot theory, an area of growing interest in contemporary mathematics. The hands-on approach features many exercises to be completed by readers. Prerequisites are only a basic familiarity with linear algebra and a willingness to explore the subject in a hands-on manner.The opening chapter offers activities that introduce knots and links, including games with knots and addressing questions in knot theory. Subsequent chapters explore knot definition and equivalence; families of links and braids, such as pretzel and torus links; and knot notation, covering DT notation, Gauss codes and diagrams, and Conway notation and rational knots. Additional topics include combinatorial knot invariants, knot polynomials, and unknotting operations and invariants. The final chapter explores virtual knots, including virtual knot invariants and virtual unknotting. AUTHOR: Allison Henrich is Associate Professor and Chair of the Department of Mathematics at Seattle University. Inga Johnson is Professor of Mathematics at Willamette University.
Notes
1. Playing and Building Intuition
2. Knot Definition and Equivalence
3. Families of Links and Braids
4. Knot Notation
5. Combinatorial Knot Invariants
6. Knot Polynomials
7. Unknotting Operations and Invariants
8. Virtual Knots Acknowledgmenys Index Bibliography
1. Playing and Building Intuition
2. Knot Definition and Equivalence
3. Families of Links and Braids
4. Knot Notation
5. Combinatorial Knot Invariants
6. Knot Polynomials
7. Unknotting Operations and Invariants
8. Virtual Knots Acknowledgmenys Index Bibliography
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