Algebraic Modeling of Topological and Computational Structures and Applications: THALES, Athens, Greece, July 1-3, 2015 - Couverture souple

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9783319885490: Algebraic Modeling of Topological and Computational Structures and Applications: THALES, Athens, Greece, July 1-3, 2015
Couverture souple
ISBN 10 : 3319885499 ISBN 13 : 9783319885490
Editeur : Springer, 2018

Synopsis

This interdisciplinary book covers a wide range of subjects, from pure mathematics (knots, braids, homotopy theory, number theory) to more applied mathematics (cryptography, algebraic specification of algorithms, dynamical systems) and concrete applications (modeling of polymers and ionic liquids, video, music and medical imaging). The main mathematical focus throughout the book is on algebraic modeling with particular emphasis on braid groups.

The research methods include algebraic modeling using topological structures, such as knots, 3-manifolds, classical homotopy groups, and braid groups. The applications address the simulation of polymer chains and ionic liquids, as well as the modeling of natural phenomena via topological surgery. The treatment of computational structures, including finite fields and cryptography, focuses on the development of novel techniques. These techniques can be applied to the design of algebraic specifications for systems modeling and verification.

This book is the outcome of a workshop in connection with the research project Thales on Algebraic Modeling of Topological and Computational Structures and Applications, held at the National Technical University of Athens, Greece in July 2015. The reader will benefit from the innovative approaches to tackling difficult questions in topology, applications and interrelated research areas, which largely employ algebraic tools.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2018
Langue
anglais
ISBN 10 
3319885499
ISBN 13 
9783319885490
Reliure
Broché
Nombre de pages
500
Éditeur
Lambropoulou Sofia, Theodorou Doros, Stefaneas Petros, Kauffman Louis H.
Coordonnées du fabricant
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ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9783319681023: Algebraic Modeling of Topological and Computational Structures and Applications

Edition présentée

ISBN 10 :  3319681028 ISBN 13 :  9783319681023
Editeur : Springer, 2017
Couverture rigide