000			03840nam a22004935i 4500
001			978-4-431-54258-2
003			DE-He213
005			20140220082524.0
007			cr nn 008mamaa
008			131108s2014 ja | s |||| 0|eng d
020			_a9784431542582 _9978-4-431-54258-2
024	7		_a10.1007/978-4-431-54258-2 _2doi
050		4	_aTA177.4-185
072		7	_aTBC _2bicssc
072		7	_aKJMV _2bicssc
072		7	_aTEC000000 _2bisacsh
082	0	4	_a658.5 _223
100	1		_aIkeda, Kiyohiro. _eauthor.
245	1	0	_aBifurcation Theory for Hexagonal Agglomeration in Economic Geography _h[electronic resource] / _cby Kiyohiro Ikeda, Kazuo Murota.
264		1	_aTokyo : _bSpringer Japan : _bImprint: Springer, _c2014.
300			_aXVII, 313 p. 69 illus., 15 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aHexagonal 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			_aThis 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.
650		0	_aEngineering.
650		0	_aEngineering economy.
650		0	_aPopulation.
650	1	4	_aEngineering.
650	2	4	_aEngineering Economics, Organization, Logistics, Marketing.
650	2	4	_aSocio- and Econophysics, Population and Evolutionary Models.
650	2	4	_aMathematical Modeling and Industrial Mathematics.
650	2	4	_aMathematics in the Humanities and Social Sciences.
650	2	4	_aPopulation Economics.
700	1		_aMurota, Kazuo. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9784431542575
856	4	0	_uhttp://dx.doi.org/10.1007/978-4-431-54258-2
912			_aZDB-2-ENG
999			_c93677 _d93677