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Structural analysis of metallic glas...

Hirata, Akihiko.

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Structural analysis of metallic glasses with computational homology

Record Type:	Electronic resources : Monograph/item
Title/Author:	Structural analysis of metallic glasses with computational homology/ by Akihiko Hirata, Kaname Matsue, Mingwei Chen.
Author:	Hirata, Akihiko.
other author:	Matsue, Kaname.
Published:	Tokyo :Springer Japan : : 2016.,
Description:	xiv, 66 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	1. Introduction -- 2. Metallic glasses -- 2.1. What is glass? -- 2-2. Structure and properties of metallic glasses -- 2-3. Structure determination and its difficulty -- 3. Homology and computational homology -- 3.1. Cubical complex -- 3.2. Cubical homology -- 3.3. Computing homology groups -- 4. Structure analysis of metallic glasses -- 4.1. Advantage of computational homology -- 4.2. Preparation of input data for metallic glasses -- 4.3. Computing procedure for metallic glasses -- 4.4. Interpretation of results obtained by computational homology -- 5. Appendix.
Contained By:	Springer eBooks
Subject:	Metallic glasses. -
Online resource:	http://dx.doi.org/10.1007/978-4-431-56056-2
ISBN:	9784431560562

Structural analysis of metallic glasses with computational homology
Hirata, Akihiko.

Structural analysis of metallic glasses with computational homology[electronic resource] /by Akihiko Hirata, Kaname Matsue, Mingwei Chen. - Tokyo :Springer Japan :2016. - xiv, 66 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in the mathematics of materials,v.22365-6336 ;. - SpringerBriefs in the mathematics of materials ;v.1..

1. Introduction -- 2. Metallic glasses -- 2.1. What is glass? -- 2-2. Structure and properties of metallic glasses -- 2-3. Structure determination and its difficulty -- 3. Homology and computational homology -- 3.1. Cubical complex -- 3.2. Cubical homology -- 3.3. Computing homology groups -- 4. Structure analysis of metallic glasses -- 4.1. Advantage of computational homology -- 4.2. Preparation of input data for metallic glasses -- 4.3. Computing procedure for metallic glasses -- 4.4. Interpretation of results obtained by computational homology -- 5. Appendix.

This book introduces the application of computational homology for structural analysis of metallic glasses. Metallic glasses, relatively new materials in the field of metals, are the next-generation structural and functional materials owing to their excellent properties. To understand their properties and to develop novel metallic glass materials, it is necessary to uncover their atomic structures which have no periodicity, unlike crystals. Although many experimental and simulation studies have been performed to reveal the structures, it is extremely difficult to perceive a relationship between structures and properties without an appropriate point of view, or language. The purpose here is to show how a new approach using computational homology gives a useful insight into the interpretation of atomic structures. It is noted that computational homology has rapidly developed and is now widely applied for various data analyses. The book begins with a brief basic survey of metallic glasses and computational homology, then goes on to the detailed procedures and interpretation of computational homology analysis for metallic glasses. Understandable and readable information for both materials scientists and mathematicians is also provided.

ISBN: 9784431560562

Standard No.: 10.1007/978-4-431-56056-2doiSubjects--Topical Terms:

696420
Metallic glasses.

LC Class. No.: TN693.M4

Dewey Class. No.: 530.413

Structural analysis of metallic glasses with computational homology
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100 1 $a Hirata, Akihiko. $3 2191819
245 1 0 $a Structural analysis of metallic glasses with computational homology $h [electronic resource] / $c by Akihiko Hirata, Kaname Matsue, Mingwei Chen.
260 $a Tokyo : $b Springer Japan : $b Imprint: Springer, $c 2016.
300 $a xiv, 66 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a SpringerBriefs in the mathematics of materials, $x 2365-6336 ; $v v.2
505 0 $a 1. Introduction -- 2. Metallic glasses -- 2.1. What is glass? -- 2-2. Structure and properties of metallic glasses -- 2-3. Structure determination and its difficulty -- 3. Homology and computational homology -- 3.1. Cubical complex -- 3.2. Cubical homology -- 3.3. Computing homology groups -- 4. Structure analysis of metallic glasses -- 4.1. Advantage of computational homology -- 4.2. Preparation of input data for metallic glasses -- 4.3. Computing procedure for metallic glasses -- 4.4. Interpretation of results obtained by computational homology -- 5. Appendix.
520 $a This book introduces the application of computational homology for structural analysis of metallic glasses. Metallic glasses, relatively new materials in the field of metals, are the next-generation structural and functional materials owing to their excellent properties. To understand their properties and to develop novel metallic glass materials, it is necessary to uncover their atomic structures which have no periodicity, unlike crystals. Although many experimental and simulation studies have been performed to reveal the structures, it is extremely difficult to perceive a relationship between structures and properties without an appropriate point of view, or language. The purpose here is to show how a new approach using computational homology gives a useful insight into the interpretation of atomic structures. It is noted that computational homology has rapidly developed and is now widely applied for various data analyses. The book begins with a brief basic survey of metallic glasses and computational homology, then goes on to the detailed procedures and interpretation of computational homology analysis for metallic glasses. Understandable and readable information for both materials scientists and mathematicians is also provided.
650 0 $a Metallic glasses. $3 696420
650 0 $a Homology theory. $3 555733
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650 2 4 $a Mathematical Applications in the Physical Sciences. $3 1566152
650 2 4 $a Category Theory, Homological Algebra. $3 899944
650 2 4 $a Math. Applications in Chemistry. $3 890896
700 1 $a Matsue, Kaname. $3 2191820
700 1 $a Chen, Mingwei. $3 2191821
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in the mathematics of materials ; $v v.1. $3 2165668
856 4 0 $u http://dx.doi.org/10.1007/978-4-431-56056-2
950 $a Mathematics and Statistics (Springer-11649)