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Algebraic Modeling of Topological and Computational Structures and Applications - THALES, Athens, Greece, July 1-3, 2015 (Hardcover, 1st ed. 2017)
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Algebraic Modeling of Topological and Computational Structures and Applications - THALES, Athens, Greece, July 1-3, 2015 (Hardcover, 1st ed. 2017)
Series: Springer Proceedings in Mathematics & Statistics, 219
Expected to ship within 12 - 17 working days
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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.
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