Technology & Engineering

Bifurcation Theory for Hexagonal Agglomeration in Economic Geography

Author: Kiyohiro Ikeda

Publisher: Springer Science & Business Media


Category: Technology & Engineering

Page: 313

View: 985

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.

Canadian Geography

Author: Thomas A. Rumney

Publisher: Scarecrow Press


Category: Science

Page: 896

View: 193

Canadian Geography: A Scholarly Bibliography is a compendium of published works on geographical studies of Canada and its various provinces. It includes works on geographical studies of Canada as a whole, on multiple provinces, and on individual provinces. Works covered include books, monographs, atlases, book chapters, scholarly articles, dissertations, and theses. The contents are organized first by region into main chapters, and then each chapter is divided into sections: General Studies, Cultural and Social Geography, Economic Geography, Historical Geography, Physical Geography, Political Geography, and Urban Geography. Each section is further sub-divided into specific topics within each main subject. All known publications on the geographical studies of Canada—in English, French, and other languages—covering all types of geography are included in this bibliography. It is an essential resource for all researchers, students, teachers, and government officials needing information and references on the varied aspects of the environments and human geographies of Canada.

Studies in the Geography of Ancient and Medieval India

Author: D.C. Sircar

Publisher: Motilal Banarsidass


Category: History

Page: 401

View: 543

The earlier chapters of the present volume deal with a large number of topics relating to kingship, landlordism (sometimes mistaken feudalism), tenancy, royal charters. Panchayat system, etc. Some of the following chapters contain discussion on certain royal officers (also continued in one of the appendices), the function of some of them or their department.