Authors:
- Covers rather broad aspects of history in a concise manner based on the
- interaction between mathematics and materials science
- Contains important
- modern mathematical technologies promising for future math–materials
- Surveys several key fundamental mathematical results that have strongly influenced the development of materials science
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in the Mathematics of Materials (BRIEFSMAMA, volume 1)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
About this book
The middle part of the book describes mathematical ideas and methods that can be applied to materials problems and introduces some examples of specific studies—for example, computational homology applied to structural analysis of glassy materials, stochastic models for the formation process of materials, new geometric measures for finite carbon nanotube molecules, mathematical technique predicting a molecular magnet, and network analysis of nanoporous materials. The details of these works will be shown in the subsequent volumes of this SpringerBriefs in the Mathematics of Materials series by the individual authors.
The posterior section of the book presents how breakthroughs based on mathematics–materials science collaborations can emerge. The authors' argument is supported by the experiences at the Advanced Institute for Materials Research (AIMR), where many researchers from various fields gathered and tackled interdisciplinary research.
Authors and Affiliations
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Advanced Institute for Materials Research, Tohoku University, Sendai, Japan
Susumu Ikeda
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Miyagi, Japan
Motoko Kotani
Bibliographic Information
Book Title: A New Direction in Mathematics for Materials Science
Authors: Susumu Ikeda, Motoko Kotani
Series Title: SpringerBriefs in the Mathematics of Materials
DOI: https://doi.org/10.1007/978-4-431-55864-4
Publisher: Springer Tokyo
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s) 2015
Softcover ISBN: 978-4-431-55862-0Published: 18 December 2015
eBook ISBN: 978-4-431-55864-4Published: 08 December 2015
Series ISSN: 2365-6336
Series E-ISSN: 2365-6344
Edition Number: 1
Number of Pages: X, 86
Number of Illustrations: 34 b/w illustrations, 4 illustrations in colour
Topics: Mathematical Applications in the Physical Sciences, Topology, Math. Applications in Chemistry