Springer Proceedings in Mathematics & Statistics

Algebraic Modeling of Topological and Computational Structures and Applications

THALES, Athens, Greece, July 1-3, 2015

Editors: Lambropoulou, S., Theodorou, D., Stefaneas, P., Kauffman, L.H. (Eds.)

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About this book

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.

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-319-68103-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-3-319-68102-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Algebraic Modeling of Topological and Computational Structures and Applications
Book Subtitle
THALES, Athens, Greece, July 1-3, 2015
Editors
  • Sofia Lambropoulou
  • Doros Theodorou
  • Petros Stefaneas
  • Louis H. Kauffman
Series Title
Springer Proceedings in Mathematics & Statistics
Series Volume
219
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-68103-0
DOI
10.1007/978-3-319-68103-0
Hardcover ISBN
978-3-319-68102-3
Series ISSN
2194-1009
Edition Number
1
Number of Pages
XV, 482
Number of Illustrations and Tables
90 b/w illustrations, 61 illustrations in colour
Topics