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Physical and Numerical Models in Knot Theory

2005 Mathematics
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Release : 2005
Genre : Mathematics
Kind : eBook
Book Rating : 462/5 ( reviews)

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Book Synopsis Physical and Numerical Models in Knot Theory by : Jorge Alberto Calvo

Download or read book Physical and Numerical Models in Knot Theory written by Jorge Alberto Calvo. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt: The physical properties of knotted and linked configurations in space have long been of interest to mathematicians. More recently, these properties have become significant to biologists, physicists, and engineers among others. Their depth of importance and breadth of application are now widely appreciated and valuable progress continues to be made each year. This volume presents several contributions from researchers using computers to study problems that would otherwise be intractable. While computations have long been used to analyze problems, formulate conjectures, and search for special structures in knot theory, increased computational power has made them a staple in many facets of the field. The volume also includes contributions concentrating on models researchers use to understand knotting, linking, and entanglement in physical and biological systems. Topics include properties of knot invariants, knot tabulation, studies of hyperbolic structures, knot energies, the exploration of spaces of knots, knotted umbilical cords, studies of knots in DNA and proteins, and the structure of tight knots. Together, the chapters explore four major themes: physical knot theory, knot theory in the life sciences, computational knot theory, and geometric knot theory.

Encyclopedia of Knot Theory

2021-02-10 Mathematics
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Release : 2021-02-10
Genre : Mathematics
Kind : eBook
Book Rating : 42X/5 ( reviews)

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Book Synopsis Encyclopedia of Knot Theory by : Colin Adams

Download or read book Encyclopedia of Knot Theory written by Colin Adams. This book was released on 2021-02-10. Available in PDF, EPUB and Kindle. Book excerpt: "Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics. This enyclopedia is filled with valuable information on a rich and fascinating subject." – Ed Witten, Recipient of the Fields Medal "I spent a pleasant afternoon perusing the Encyclopedia of Knot Theory. It’s a comprehensive compilation of clear introductions to both classical and very modern developments in the field. It will be a terrific resource for the accomplished researcher, and will also be an excellent way to lure students, both graduate and undergraduate, into the field." – Abigail Thompson, Distinguished Professor of Mathematics at University of California, Davis Knot theory has proven to be a fascinating area of mathematical research, dating back about 150 years. Encyclopedia of Knot Theory provides short, interconnected articles on a variety of active areas in knot theory, and includes beautiful pictures, deep mathematical connections, and critical applications. Many of the articles in this book are accessible to undergraduates who are working on research or taking an advanced undergraduate course in knot theory. More advanced articles will be useful to graduate students working on a related thesis topic, to researchers in another area of topology who are interested in current results in knot theory, and to scientists who study the topology and geometry of biopolymers. Features Provides material that is useful and accessible to undergraduates, postgraduates, and full-time researchers Topics discussed provide an excellent catalyst for students to explore meaningful research and gain confidence and commitment to pursuing advanced degrees Edited and contributed by top researchers in the field of knot theory

Handbook of Knot Theory

2005-08-02 Mathematics
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Release : 2005-08-02
Genre : Mathematics
Kind : eBook
Book Rating : 547/5 ( reviews)

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Book Synopsis Handbook of Knot Theory by : William Menasco

Download or read book Handbook of Knot Theory written by William Menasco. This book was released on 2005-08-02. Available in PDF, EPUB and Kindle. Book excerpt: This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology, combinatorics, algebra, mathematical physics and biochemistry. * Survey of mathematical knot theory * Articles by leading world authorities * Clear exposition, not over-technical * Accessible to readers with undergraduate background in mathematics

Knots and Physics

1993 Science
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Release : 1993
Genre : Science
Kind : eBook
Book Rating : 564/5 ( reviews)

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Book Synopsis Knots and Physics by : Louis H. Kauffman

Download or read book Knots and Physics written by Louis H. Kauffman. This book was released on 1993. Available in PDF, EPUB and Kindle. Book excerpt: Based upon courses taught by the author in 1985, this text introduces knot and link invariants as generalized amplitudes for a quasi- physical process. Kauffman (affiliation not cited) takes a combinatorial stance toward knot theory and related topics in topology and mathematical physics. Coverage includes, for example, the frictional properties of knots, relations with combinatorics, and knots in dynamical systems. The volume is not indexed. Annotation copyrighted by Book News Inc., Portland, OR.

An Interactive Introduction to Knot Theory

2017-01-18 Mathematics
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Release : 2017-01-18
Genre : Mathematics
Kind : eBook
Book Rating : 631/5 ( reviews)

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Book Synopsis An Interactive Introduction to Knot Theory by : Inga Johnson

Download or read book An Interactive Introduction to Knot Theory written by Inga Johnson. This book was released on 2017-01-18. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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