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Gentle Introduction To Knots, Links And Braids, A (Hardcover)
Loot Price: R2,630
Discovery Miles 26 300
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Gentle Introduction To Knots, Links And Braids, A (Hardcover)
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Total price: R2,650
Discovery Miles: 26 500
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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.
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