A New Direction in Mathematics for Materials Science

by Susumu Ikeda (Author), Motoko Kotani (Author)
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 collaboration
Surveys several key fundamental mathematical results that have strongly influenced the development of materials science


About this book
This book is the first volume of the SpringerBriefs in the Mathematics of Materials and provides a comprehensive guide to the interaction of mathematics with materials science. The anterior part of the book describes a selected history of materials science as well as the interaction between mathematics and materials in history. The emergence of materials science was itself a result of an interdisciplinary movement in the 1950s and 1960s. Materials science was formed by the integration of metallurgy, polymer science, ceramics, solid state physics, and related disciplines. We believe that such historical background helps readers to understand the importance of interdisciplinary interaction such as mathematics–materials science collaboration.

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.

Number of Illustrations and Tables
34 illus., 4 in colour
Topics
Mathematical Applications in the Physical Sciences
Topology
Math. Applications in Chemistry

More info and Hardcover at Springer

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