Knots and Physics (Series on Knots and Everything)

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9789814383011: Knots and Physics (Series on Knots and Everything)
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This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas.

The book is divided into two parts: Part I is a systematic course on knots and physics starting from the ground up, and Part II is a set of lectures on various topics related to Part I. Part II includes topics such as frictional properties of knots, relations with combinatorics, and knots in dynamical systems.

In this new edition, an article on Virtual Knot Theory and Khovanov Homology has beed added.

"synopsis" may belong to another edition of this title.

About the Author:

Louis Kauffman was born in 1945. He graduated as valedictorian of his class at Norwood Norfolk Central High School in 1962. He received his BS at MIT in 1966 and his PhD in mathematics from Princeton University in 1972. Kauffman has been a prominent leader in Knot Theory, one of the most active research areas in mathematics today. His discoveries include a state sum model for the Alexander-Conway Polynomial, the bracket state sum model for the Jones polynomial, the Kauffman polynomial and Virtual Knot Theory. He is the Editor-in-Chief of JKTR, Editor of the Series on Knots and Everything, full professor at UIC and author of numerous books related to the theory of knots — including Knots and Physics", "Knots and Applications", "On Knots", and "Formal Knot Theory".

Review:

"This book is an essential volume for the student of low-dimensional topology from which a serious student can learn most aspects of modern knot theory. Its informal tone encourages investigation on the part of the reader. The author leaves the reader items to puzzle out. " -- Mathematical Reviews

Reviews of the Third Edition:

"It is an attractive book for physicists with profuse and often entertaining illustrations ... proofs ... seldom heavy and nearly always well explained with pictures ... succeeds in infusing his own excitement and enthusiasm for these discoveries and their potential implications." -- Physics Today

"The exposition is clear and well illustrated with many examples. The book can be recommended to everyone interested in the connections between physics and topology of knots." -- Mathematics Abstracts

"... here is a gold mine where, with care and patience, one should get acquainted with a beautiful subject under the guidance of a most original and imaginative mind." -- Mathematical Reviews

"The exposition is clear and well illustrated with many examples. The book can be recommended to everyone interested in the connections between physics and topology of knots." --Mathematics Abstracts

"... here is a gold mine where, with care and patience, one should get acquainted with a beautiful subject under the guidance of a most original and imaginative mind." --Mathematical Reviews

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Book Description World Scientific Publishing Co Pte Ltd, Singapore, 2013. Paperback. Condition: New. 4th Revised edition. Language: English . Brand New Book. This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas.The book is divided into two parts: Part I is a systematic course on knots and physics starting from the ground up, and Part II is a set of lectures on various topics related to Part I. Part II includes topics such as frictional properties of knots, relations with combinatorics, and knots in dynamical systems.In this new edition, an article on Virtual Knot Theory and Khovanov Homology has beed added. Seller Inventory # AAC9789814383011

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Book Description World Scientific Publishing Co Pte Ltd, Singapore, 2013. Paperback. Condition: New. 4th Revised edition. Language: English . Brand New Book. This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas.The book is divided into two parts: Part I is a systematic course on knots and physics starting from the ground up, and Part II is a set of lectures on various topics related to Part I. Part II includes topics such as frictional properties of knots, relations with combinatorics, and knots in dynamical systems.In this new edition, an article on Virtual Knot Theory and Khovanov Homology has beed added. Seller Inventory # AAC9789814383011

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Book Description World Scientific Publishing Co Pte Ltd, Singapore, 2013. Paperback. Condition: New. 4th Revised edition. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas.The book is divided into two parts: Part I is a systematic course on knots and physics starting from the ground up, and Part II is a set of lectures on various topics related to Part I. Part II includes topics such as frictional properties of knots, relations with combinatorics, and knots in dynamical systems.In this new edition, an article on Virtual Knot Theory and Khovanov Homology has beed added. Seller Inventory # BTE9789814383011

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Book Description Paperback. Condition: New. 4th. Paperback. This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical f.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 864 pages. 1.202. Seller Inventory # 9789814383011

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Book Description World Scientific Publishing Co Pte Ltd. Paperback. Condition: new. BRAND NEW, Knots and Physics (4th Revised edition), Louis H. Kauffman, This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas. The book is divided into two parts: Part I is a systematic course on knots and physics starting from the ground up, and Part II is a set of lectures on various topics related to Part I. Part II includes topics such as frictional properties of knots, relations with combinatorics, and knots in dynamical systems. In this new edition, articles on other topics, including Khovanov Homology, have been included. Seller Inventory # B9789814383011

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