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Author: Susumu Ikeda
Publisher: Springer
ISBN: 4431558640
Category : Mathematics
Languages : en
Pages : 93
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Book Description
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.
Author: Susumu Ikeda
Publisher: Springer
ISBN: 4431558640
Category : Mathematics
Languages : en
Pages : 93
Get Book Here
Book Description
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.
Author: Stephen Wolfram
Publisher: Wolfram Media
ISBN: 9781579550257
Category :
Languages : en
Pages : 1193
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Book Description
NOW IN PAPERBACK"€"Starting from a collection of simple computer experiments"€"illustrated in the book by striking computer graphics"€"Stephen Wolfram shows how their unexpected results force a whole new way of looking at the operation of our universe.
Author: National Research Council
Publisher: National Academies Press
ISBN: 0309107520
Category : Political Science
Languages : en
Pages : 120
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Book Description
The stability of the financial system and the potential for systemic events to alter its function have long been critical issues for central bankers and researchers. Recent events suggest that older models of systemic shocks might no longer capture all of the possible paths of such disturbances or account for the increasing complexity of the financial system. To help assess these concerns, the Federal Reserve Bank of New York and the NRC cosponsored a conference that brought together engineers, scientists, economists, and financial market experts to promote better understanding of systemic risk in a variety of fields. The book presents an examination of tools used in ecology and engineering to study systemic collapse in those areas; a review of current trends in economic research on systemic risk, the payments system, and the market of interbank funds; and for context, descriptions of how systemic risk in the financial system affects trading activities.
Author: Adrian P. Sutton
Publisher: Oxford University Press
ISBN: 0192661582
Category : Science
Languages : en
Pages : 161
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Book Description
All technologies depend on the availability of suitable materials. The progress of civilisation is often measured by the materials people have used, from the stone age to the silicon age. Engineers exploit the relationships between the structure, properties and manufacturing methods of a material to optimise their design and production for particular applications. Scientists seek to understand and predict those relationships. This short book sets out fundamental concepts that underpin the science of materials and emphasizes their relevance to mainstream chemistry, physics and biology. These include the thermodynamic stability of materials in various environments, quantum behaviour governing all matter, and active matter. Others include defects as the agents of change in crystalline materials, materials at the nanoscale, the emergence of new science at increasing length scales in materials, and man-made materials with properties determined by their structure rather than their chemistry. The book provides a unique insight into the essence of materials science at a level suitable for pre-university students and undergraduates of materials science. It will also be suitable for graduates in other subjects contemplating postgraduate study in materials science. Professional materials scientists will also find it stimulating and occasionally provocative.
Author: United States. Congress. House. Committee on Science, Space, and Technology
Publisher:
ISBN:
Category : Business & Economics
Languages : en
Pages : 248
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Book Description
Author: Walter G. Secada
Publisher: Cambridge University Press
ISBN: 9780521477208
Category : Education
Languages : en
Pages : 380
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Book Description
This book examines equity from the standpoint of mathematics education - an excellent forum for the topic, since the results are quantifiable and the disparity in performance is stark.
Author: Daniel Packwood
Publisher: Springer
ISBN: 9811067813
Category : Technology & Engineering
Languages : en
Pages : 51
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Book Description
This book provides a short and concise introduction to Bayesian optimization specifically for experimental and computational materials scientists. After explaining the basic idea behind Bayesian optimization and some applications to materials science in Chapter 1, the mathematical theory of Bayesian optimization is outlined in Chapter 2. Finally, Chapter 3 discusses an application of Bayesian optimization to a complicated structure optimization problem in computational surface science.Bayesian optimization is a promising global optimization technique that originates in the field of machine learning and is starting to gain attention in materials science. For the purpose of materials design, Bayesian optimization can be used to predict new materials with novel properties without extensive screening of candidate materials. For the purpose of computational materials science, Bayesian optimization can be incorporated into first-principles calculations to perform efficient, global structure optimizations. While research in these directions has been reported in high-profile journals, until now there has been no textbook aimed specifically at materials scientists who wish to incorporate Bayesian optimization into their own research. This book will be accessible to researchers and students in materials science who have a basic background in calculus and linear algebra.
Author: Motoko Kotani
Publisher: American Mathematical Soc.
ISBN: 9780821856826
Category : Mathematics
Languages : en
Pages : 276
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Book Description
This book is a collection of papers from the proceedings of the first symposium of the Japan Association for Mathematical Sciences. Topics covered center around problems of geometric analysis in relation to heat kernels, random walks, and Poisson boundaries on discrete groups, graphs, and other combinatorial objects. The material is suitable for graduate students and research mathematicians interested in heat kernels and random works on groups and graphs.
Author: United States. Office of Education
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 518
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Book Description
Author: John N. Hawkins
Publisher: Springer
ISBN: 331998666X
Category : Education
Languages : en
Pages : 187
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Book Description
This volume analyzes the dominance of STEM fields in various university rankings and the reasons why many governments in the world disproportionately give value to STEM fields. Secondly, although there is general agreement that STEM fields are important, chapter authors also examine the role of interdisciplinary and multidisciplinary approaches for a revised STEM education as well as implications for the future. The book presents examples from the United States, Canada, Japan, Korea, and Taiwan.
