Gentle Introduction To Knots, Links And Braids, A
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A01=Roldao Da Rocha Jr
A01=Ruben Aldrovandi
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Alexander Polynomial
Algebra
Analysis
Antiferromagnetic
Anyons
Author_Roldao Da Rocha Jr
Author_Ruben Aldrovandi
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Bethe Lattice
Borromean Rings
Bose-Einstein Condensation
Bosons
Braid Group
Braids
Category1=Non-Fiction
Category=PHU
Cinquefoil
Classical Braid
Conway-Alexander Polynomial
COP=Singapore
Critical Phenomena
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Diagrams
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Ferromagnetic
Fourier Transform
Fundamental Braid
Fundamental Group
Geometry
Hamiltonian
Hecke Algebra
Heisenberg Model
Homeomorphism
Homfly
Homology
Homomorphism
Homotopy
Hopf Link
Interaction Energy
Invariant Polynomial
Ising Model
Isomorphism
Isotopy
Jones Polynomial
Jordan Curve
Knot Invariant
Knots
Language_English
Lattice
Laurent Polynomial
Links
Macrocanonical Ensemble
Magnetisation
Manifold
Mathematical Physics
Mathematics
Monodromy
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Partition Function
Physics
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Quantum Gas
Quantum Mechanics
Quantum Operator
softlaunch
Statistical Physics
Topological Space
Topology
Wave Function
Yang-Baxter Equation
Product details
- ISBN 9789811248481
- Publication Date: 11 Nov 2021
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
- Language: English
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The interface between Physics and Mathematics has been increasingly spotlighted by the discovery of algebraic, geometric, and topological properties in physical phenomena. A profound example is the relation of noncommutative geometry, arising from algebras in mathematics, to the so-called quantum groups in the physical viewpoint. Two apparently unrelated puzzles — the solubility of some lattice models in statistical mechanics and the integrability of differential equations for special problems — are encoded in a common algebraic condition, the Yang-Baxter equation. This backdrop motivates the subject of this book, which reveals Knot Theory as a highly intuitive formalism that is intimately connected to Quantum Field Theory and serves as a basis to String Theory.This book presents a didactic approach to knots, braids, links, and polynomial invariants which are powerful and developing techniques that rise up to the challenges in String Theory, Quantum Field Theory, and Statistical Physics. It introduces readers to Knot Theory and its applications through formal and practical (computational) methods, with clarity, completeness, and minimal demand of requisite knowledge on the subject. As a result, advanced undergraduates in Physics, Mathematics, or Engineering, will find this book an excellent and self-contained guide to the algebraic, geometric, and topological tools for advanced studies in theoretical physics and mathematics.
