A Gentle Introduction To Knots, Links And Braids

A Gentle Introduction To Knots, Links And Braids
Author :
Publisher : World Scientific
Total Pages : 214
Release :
ISBN-10 : 9789811248504
ISBN-13 : 9811248508
Rating : 4/5 (04 Downloads)

Book Synopsis A Gentle Introduction To Knots, Links And Braids by : Ruben Aldrovandi

Download or read book A Gentle Introduction To Knots, Links And Braids written by Ruben Aldrovandi and published by World Scientific. This book was released on 2021-10-14 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


A Gentle Introduction To Knots, Links And Braids Related Books

A Gentle Introduction To Knots, Links And Braids
Language: en
Pages: 214
Authors: Ruben Aldrovandi
Categories: Science
Type: BOOK - Published: 2021-10-14 - Publisher: World Scientific

DOWNLOAD EBOOK

The interface between Physics and Mathematics has been increasingly spotlighted by the discovery of algebraic, geometric, and topological properties in physical
A Gentle Introduction to Knots, Links and Braids
Language: en
Pages: 216
Authors: Ruben Aldrovandi
Categories: Science
Type: BOOK - Published: 2021-10-14 - Publisher: World Scientific Publishing Company

DOWNLOAD EBOOK

The interface between Physics and Mathematics has been increasingly spotlighted by the discovery of algebraic, geometric, and topological properties in physical
A Gentle Introduction To Knots, Links And Braids
Language: en
Pages: 214
Authors: Ruben Aldrovandi
Categories: Braid theory
Type: BOOK - Published: 2021 - Publisher:

DOWNLOAD EBOOK

Mathematics and Computation
Language: en
Pages: 434
Authors: Avi Wigderson
Categories: Computers
Type: BOOK - Published: 2019-10-29 - Publisher: Princeton University Press

DOWNLOAD EBOOK

From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, a
Knots, Groups and 3-Manifolds (AM-84), Volume 84
Language: en
Pages: 352
Authors: Lee Paul Neuwirth
Categories: Mathematics
Type: BOOK - Published: 2016-03-02 - Publisher: Princeton University Press

DOWNLOAD EBOOK

There is a sympathy of ideas among the fields of knot theory, infinite discrete group theory, and the topology of 3-manifolds. This book contains fifteen papers