Mathematical Location And Land Use Theory
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Mathematical Location and Land Use Theory
Author: Tönu Puu
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-11-02
Covers all main topics of spatial economics, plant location, the theory of nested market areas, including rank-size relations, spatial competition and pricing, land use theory and the emergence of specialization and trade, commuting and traffic distributions according to the gravity and entropy hypotheses, migration, and the layout of transportation networks. A strong focus is on the continuous two dimensional geographical space, with Beckmann's continuous flow model as central piece. Another feature is a focus on structural stability rather than optimality of emergent patterns. All the specific mathematical tools needed are developed within context. The whole approach is intuitive, and supported by lavish computer graphics. The new edition contains extensive material on spatial competition, oligopoly theory in Hotelling's setup. The Hotelling case is formally worked out with elastic demand, which limits the occurrence of some of the confusing paradoxes Hotelling found for inelastic demand.
Mathematical Location and Land Use Theory
The author presents economic phenomena in the continuous 2-dimensional geographical space with particular focus on the emergence of spatial structures. This text starts out from the classical models of the space economy, associated with such names as: von Thünen, Launhardt, Weber, Christaller and Lösch. The theories are stated in terms of precise mathematical models, and are generalized by the use of results from modern topology. The mathematical tools needed - variational calculus, vector analysis, and differential equation theory - are stage by stage developed in the context of applications, and the reasoning is supported by a lavish supply of elaborate computer graphics, making even topics considered tough intuitively digestable. The reader will therefore not only acquire an understanding for the importance of including geographical space in economic models, but he will also learn to handle the mathematical tools needed for working with such models.
Handbook of Regional Growth and Development Theories
Regional economics – an established discipline for several decades – has undergone a period of rapid change in the last ten years resulting in the emergence of several new perspectives. At the same time the methodology of regional economics has also experienced some surprising developments. This fully revised and updated Handbook brings together contributions looking at new pathways in regional economics, written by many well-known international scholars. The aim is to present the most cutting-edge theories explaining regional growth and local development. The authors highlight the recent advances in theories, the normative potentialities of these theories and the cross-fertilization of ideas between regional and mainstream economists. It will be an essential source of reference and information for both scholars and students in the field.