This book is an introductory explication on the theme of knot and link invariants as generalized amplitudes (vacuum-vacuum amplitudes) for a quasi-physical process. The demands of the knot theory, coupled with a quantum statistical frame work create a context that naturally and powerfully includes an extraordinary range of interelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward the knot theory and its relations with these subjects. This has the advantage of providing very direct access to the algebra and to the combinatorial topology, as well as the physical ideas. This book is divided into 2 parts: Part I of the book is a systematic course in knots and physics starting from the ground up. Part II is a set of lectures on various topics related with and sometimes based on Part I. Part II also explores some side-topics such as frictional properties of knots, relations with combinatorics, knots in dynamical systems.
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Editorial Reviews
From Scientific American
"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."
--This text refers to an out of print or unavailable edition of this title.
From The New Yorker
" I find the book to be excellent value for its price. Kauffman manages to take the reader from the most elementary (and physically useful) knots to the most recent developments at the very forefront of a rapidly expanding field ... It deserves to be a classic."
--This text refers to an out of print or unavailable edition of this title.
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4 of 14 people found the following review helpful:
4.0 out of 5 stars
math grad.,
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This review is from: Knots and Physics (Paperback)
Overview of knots/physics. The book is fairly self-contained. It also has lots of pictures and works through the mathematics.Introduces bracket polynomial, temperly-lieb algebra, and modeling physics ideas out of this stuff.
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The clove-hitch is used to secure a line to a post or tree-trunk. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Francois Jaeger, Roger Penrose New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
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This book cites 40
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86
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- On Knots. (AM-115) by Louis H. Kauffman on 4 pages
- Knots and Physics by Louis H. Kauffman on 4 pages
- Advances in Twistor Theory (Chapman & Hall/CRC Research Notes in Mathematics Series) by L.P. Hughston in Back Matter (1), Back Matter (2), and Back Matter (3)
- Formal Knot Theory (Dover Books on Mathematics) by Louis H. Kauffman in Back Matter (1), Back Matter (2), and Back Matter (3)
- Braid Group, Knot Theory and Statistical Mechanics (Advanced Series in Mathematical Physics) by C. N. Yang in Back Matter (1), Back Matter (2), and Back Matter (3)
See all 40 books this book cites
- Braid Group, Knot Theory and Statistical Mechanics II (Advanced Series in Mathematical Physics) (v. 2) by C. N. Yang on 5 pages
- Quantum Topology (Series on Knots and Everything) by Louis H. Kauffman on 5 pages
- New Directions in Hopf Algebras (Mathematical Sciences Research Institute Publications) by Susan Montgomery on 4 pages
- Ideal Knots by Andrzej Stasiak on 4 pages
- The Mystery of Knots: Computer Programming for Knot Tabulation (Series on Knots and Everything, Volume 20) by Charilaos Aneziris in Back Matter (1), Back Matter (2), and Back Matter (3)
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