Bifurcation Theory for Hexagonal Agglomeration in Economic Geography (Record no. 54579)
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| fixed length control field | 04056nam a22005775i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-4-431-54258-2 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200421111654.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 131108s2014 ja | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9784431542582 |
| -- | 978-4-431-54258-2 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 658.5 |
| 100 1# - AUTHOR NAME | |
| Author | Ikeda, Kiyohiro. |
| 245 10 - TITLE STATEMENT | |
| Title | Bifurcation Theory for Hexagonal Agglomeration in Economic Geography |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XVII, 313 p. 69 illus., 15 illus. in color. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Hexagonal Distributions in Economic Geography and Krugman's Core-Periphery Model -- Group-Theoretic Bifurcation Theory -- Agglomeration in Racetrack Economy -- Introduction to Economic Agglomeration on a Hexagonal Lattice -- Hexagonal Distributions on Hexagonal Lattice -- Irreducible Representations of the Group for Hexagonal Lattice -- Matrix Representation for Economy on Hexagonal Lattice -- Hexagons of Christaller and L�osch: Using Equivariant Branching Lemma -- Hexagons of Christaller and L�osch: Solving Bifurcation Equations. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book contributes to an understanding of how bifurcation theory adapts to the analysis of economic geography. It is easily accessible not only to mathematicians and economists, but also to upper-level undergraduate and graduate students who are interested in nonlinear mathematics. The self-organization of hexagonal agglomeration patterns of industrial regions was first predicted by the central place theory in economic geography based on investigations of southern Germany. The emergence of hexagonal agglomeration in economic geography models was envisaged by Krugman. In this book, after a brief introduction of central place theory and new economic geography, the missing link between them is discovered by elucidating the mechanism of the evolution of bifurcating hexagonal patterns. Pattern formation by such bifurcation is a well-studied topic in nonlinear mathematics, and group-theoretic bifurcation analysis is a well-developed theoretical tool. A finite hexagonal lattice is used to express uniformly distributed places, and the symmetry of this lattice is expressed by a finite group. Several mathematical methodologies indispensable for tackling the present problem are gathered in a self-contained manner. The existence of hexagonal distributions is verified by group-theoretic bifurcation analysis, first by applying the so-called equivariant branching lemma and next by solving the bifurcation equation. This book offers a complete guide for the application of group-theoretic bifurcation analysis to economic agglomeration on the hexagonal lattice. |
| 700 1# - AUTHOR 2 | |
| Author 2 | Murota, Kazuo. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-4-431-54258-2 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Tokyo : |
| -- | Springer Japan : |
| -- | Imprint: Springer, |
| -- | 2014. |
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| -- | online resource |
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| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematical models. |
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| -- | Mathematics. |
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| -- | Social sciences. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Sociophysics. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Econophysics. |
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| -- | Engineering economics. |
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| -- | Engineering economy. |
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| -- | Population. |
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| -- | Engineering. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering Economics, Organization, Logistics, Marketing. |
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| -- | Socio- and Econophysics, Population and Evolutionary Models. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematical Modeling and Industrial Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematics in the Humanities and Social Sciences. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Population Economics. |
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| -- | ZDB-2-ENG |
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