Overview
- Provides interactive insights from topological geometry and polymer (materials) science and technology
- Reveals heretofore unknown polymer properties and functions through the application of topology
- Presents new concepts and principles for polymer materials designs
Part of the book series: SpringerBriefs in the Mathematics of Materials (BRIEFSMAMA, volume 4)
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Table of contents (8 chapters)
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About this book
These developments now offer unique opportunities in polymer materials design to create unique properties and functions based on the form, i.e., topology, of polymer molecules. The introduction and application of topological geometry (soft geometry) to polymer molecules is a crucial requirement to account for the basic geometrical properties of polymer chains uniquely flexible in nature, in contrast to small chemical compounds conceived upon Euclidian geometry (hard geometry) principles. Topological geometry and graph theory are introduced for the systematic classification and notation of the non-linear constructions of polymer molecules, including not only branched but also single cyclic and multicyclic polymer topologies. On that basis, the geometrical–topological relationship between different polymers having distinctive constructions is discussed. A unique conception of topological isomerism is thus formed, which contrasts with that of conventional constitutional and stereoisomerism occurring in small chemical compounds.
Through the close collaboration of topology experts Shimokawa and Ishihara and the polymer chemist Tezuka, this monograph covers the fundamentals and selected current topics of topology applied in polymers and topological polymer chemistry. In particular, the aim is to provide novel insights jointly revealed through a unique interaction between mathematics (topology) and polymer materials science.
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Bibliographic Information
Book Title: Topology of Polymers
Authors: Koya Shimokawa, Kai Ishihara, Yasuyuki Tezuka
Series Title: SpringerBriefs in the Mathematics of Materials
DOI: https://doi.org/10.1007/978-4-431-56888-9
Publisher: Springer Tokyo
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s), under exclusive license to Springer Japan KK. 2019
Softcover ISBN: 978-4-431-56886-5Published: 16 December 2019
eBook ISBN: 978-4-431-56888-9Published: 06 December 2019
Series ISSN: 2365-6336
Series E-ISSN: 2365-6344
Edition Number: 1
Number of Pages: VIII, 81
Topics: Topology, Polymer Sciences, Graph Theory