Cromwell, Peter R. Knots and Links

ISBN 13: 9780521548311

Knots and Links

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9780521548311: Knots and Links

Knot theory is the study of embeddings of circles in space. Peter Cromwell has written a textbook on knot theory designed for use in advanced undergraduate or beginning graduate-level courses. The exposition is detailed and careful yet engaging and full of motivation. Numerous examples and exercises serve to help students through the material, while an instructor's manual is available online.

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Knot theory is a subject in which naturally occurring questions are often so simple to state that they can be explained to a child. Yet finding answers may require ideas from the forefront of research. Peter Cromwell has written a textbook designed for use at advanced undergraduate or beginning graduate level courses. Numerous examples and exercises serve to help students through the material, and an instructor's manual is available online.

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Cromwell, Peter R.
Published by CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2004)
ISBN 10: 0521548314 ISBN 13: 9780521548311
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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2004. Paperback. Book Condition: New. 244 x 168 mm. Language: English . Brand New Book. Knots and links are studied by mathematicians, and are also finding increasing application in chemistry and biology. Many naturally occurring questions are often simple to state, yet finding the answers may require ideas from the forefront of research. This readable and richly illustrated 2004 book explores selected topics in depth in a way that makes contemporary mathematics accessible to an undergraduate audience. It can be used for upper-division courses, and assumes only knowledge of basic algebra and elementary topology. Together with standard topics, the book explains: polygonal and smooth presentations; the surgery equivalence of surfaces; the behaviour of invariants under factorisation and the satellite construction; the arithmetic of Conway s rational tangles; arc presentations. Alongside the systematic development of the main theory, there are discussion sections that cover historical aspects, motivation, possible extensions, and applications. Many examples and exercises are included to show both the power and limitations of the techniques developed. Bookseller Inventory # AAZ9780521548311

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Cromwell, Peter R.
Published by CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2004)
ISBN 10: 0521548314 ISBN 13: 9780521548311
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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2004. Paperback. Book Condition: New. 244 x 168 mm. Language: English . Brand New Book. Knots and links are studied by mathematicians, and are also finding increasing application in chemistry and biology. Many naturally occurring questions are often simple to state, yet finding the answers may require ideas from the forefront of research. This readable and richly illustrated 2004 book explores selected topics in depth in a way that makes contemporary mathematics accessible to an undergraduate audience. It can be used for upper-division courses, and assumes only knowledge of basic algebra and elementary topology. Together with standard topics, the book explains: polygonal and smooth presentations; the surgery equivalence of surfaces; the behaviour of invariants under factorisation and the satellite construction; the arithmetic of Conway s rational tangles; arc presentations. Alongside the systematic development of the main theory, there are discussion sections that cover historical aspects, motivation, possible extensions, and applications. Many examples and exercises are included to show both the power and limitations of the techniques developed. Bookseller Inventory # AAZ9780521548311

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Cromwell, Peter R.
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Cromwell, Peter R.
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Book Description Cambridge University Press. Paperback. Book Condition: new. BRAND NEW, Knots and Links, Peter R. Cromwell, Knots and links are studied by mathematicians, and are also finding increasing application in chemistry and biology. Many naturally occurring questions are often simple to state, yet finding the answers may require ideas from the forefront of research. This readable and richly illustrated 2004 book explores selected topics in depth in a way that makes contemporary mathematics accessible to an undergraduate audience. It can be used for upper-division courses, and assumes only knowledge of basic algebra and elementary topology. Together with standard topics, the book explains: polygonal and smooth presentations; the surgery equivalence of surfaces; the behaviour of invariants under factorisation and the satellite construction; the arithmetic of Conway's rational tangles; arc presentations. Alongside the systematic development of the main theory, there are discussion sections that cover historical aspects, motivation, possible extensions, and applications. Many examples and exercises are included to show both the power and limitations of the techniques developed. Bookseller Inventory # B9780521548311

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Book Description Cambridge University Press 2004-10-14, Cambridge, 2004. paperback. Book Condition: New. Bookseller Inventory # 9780521548311

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Cromwell, Peter R.
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Book Description Cambridge University Press, 2004. Book Condition: New. A richly illustrated 2004 textbook on knot theory; minimal prerequisites but modern in style and content. Num Pages: 348 pages, 236 b/w illus. 9 tables 118 exercises. BIC Classification: PBM. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 243 x 175 x 18. Weight in Grams: 582. . 2004. First Edition. Paperback. . . . . . Bookseller Inventory # V9780521548311

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Cromwell, Peter R.
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Book Description Cambridge University Press, 2004. PAP. Book Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Bookseller Inventory # GB-9780521548311

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Cromwell, Peter R.
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Book Description Cambridge University Press. Book Condition: New. A richly illustrated 2004 textbook on knot theory; minimal prerequisites but modern in style and content. Num Pages: 348 pages, 236 b/w illus. 9 tables 118 exercises. BIC Classification: PBM. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 243 x 175 x 18. Weight in Grams: 582. . 2004. First Edition. Paperback. . . . . Books ship from the US and Ireland. Bookseller Inventory # V9780521548311

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Book Description Cambridge University Press, 2004. PAP. Book Condition: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # LQ-9780521548311

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Cromwell, Peter R.
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Book Description Cambridge University Press, 2004. Book Condition: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: Preface; 1. Introduction; 2. A topologist's toolkit; 3. Link diagrams; 4. Constructions and decompositions of links; 5. Spanning surfaces and genus; 6. Matrix invariants; 7. The Alexander-Conway polynomial; 8. Rational tangles; 9. More polynomials; 10. Closed braids and arc presentations; Appendix A. Knot diagrams; Appendix B. Numerical invariants; Appendix C. Properties; Appendix D. Polynomials; Appendix E. Polygon coordinates; Appendix F. Family properties; Bibliography; Index. Bookseller Inventory # ABE_book_new_0521548314

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