Mathematical Location and Land Use Theory - nieuw boek

EAN (ISBN-13): 9783540009313
ISBN (ISBN-10): 3540009310
Gebonden uitgave
pocket book
Verschijningsjaar: 2003
Uitgever: Springer
376 Bladzijden
Gewicht: 0,725 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2007-04-27T16:17:02+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2024-04-17T12:02:01+02:00 (Amsterdam)
ISBN/EAN: 9783540009313

ISBN - alternatieve schrijfwijzen:
3-540-00931-0, 978-3-540-00931-3
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: puu, beckmann
Titel van het boek: mathematical location and land use theory, winfridia, späti

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Gegevens van de uitgever

Auteur: Tönu Puu
Titel: Advances in Spatial Science; Mathematical Location and Land Use Theory - An Introduction
Uitgeverij: Springer; Springer Berlin
362 Bladzijden
Verschijningsjaar: 2003-05-19
Berlin; Heidelberg; DE
Taal: Engels
164,99 € (DE)

BB; Hardcover, Softcover / Wirtschaft/Volkswirtschaft; Wirtschaftspolitik, politische Ökonomie; Verstehen; Continuous Transportation Modelling; Landuse; Location Theory; Regional Science; Regionalwissenschaft; Räumliche Wirtschaftstheorie; Spatial Economics; networks; Regional and Spatial Economics; Geography; Regionalstudien / Internationale Studien; Geographie; BC; EA; BC

Prologue.- 1 Location Theory.- 1.1 The Weber Problem.- 1.2 Pick’s Construction.- 1.3 Location and Substitution.- 1.4 Non-Euclidean Metrics.- 2 Optimal Routes.- 2.1 Flows and Routes.- 2.2 Parameterized Paths.- 2.3 Shortest Paths and Euler’s Equation.- 2.4 A Simpler Case.- 2.5 An Example.- 2.6 Another Example.- 2.7 Fermat’s Principle and Snell’s Law.- 2.8 Geodesics on Curved Surfaces.- 2.9 Generalizations: Several Functions.- 2.10 Generalizations: Constraints.- 2.11 Coordinate Transformations.- 2.12 The Isoperimetric Problem.- 3 Flows in the Space Economy.- 3.1 Flows in One Dimension.- 3.2 Flows in Two Dimensions.- 3.3 Euler’s Equations Revisited.- 3.4 Minimal Surfaces.- 3.5 Generalizations.- 3.6 Beckmann’s Flow Model.- 3.7 Uniqueness in the Beckmann Model.- 3.8 Aggregate Values.- 4 Market Areas.- 4.1 From Launhardt to Lösch.- 4.2 Compactness and Stability.- 4.3 Optimality Versus Stability.- 4.4 Nesting of Market Areas.- 4.5 Rank-Size Relations.- 4.6 Price Policies.- 4.7 Mill Pricing.- 4.8 Discriminatory Pricing.- 4.9 Uniform Delivery Price.- 4.10 Oligopoly Theory.- 4.11 Local Oligopoly.- 4.12 Disjoint Monopolies.- 4.13 The Hotelling Case.- 4.14 Equilibrium for Two Identical Firms.- 4.15 Crowding and Price Undercutting.- 4.16 Oligopoly in 2D: Equilibrium.- 4.17 Oligopoly in 2D: Price Cuts.- 4.18 Oligopoly in 2D: Cutting Out Competitors.- 4.19 Oligopoly in 2D: Touching Monopolies.- 4.20 Oligopoly in 2D: Partial Changes of Location.- 4.21 Public Utility Location.- 4.22 Demand: One Dimension.- 4.23 Bifurcations.- 4.24 Nonlinear Demand.- 4.25 Two Dimensions: Circles.- 4.26 Two Dimensions: Polygons.- 5 Land Use.- 5.1 Von Thünen’s Model.- 5.2 Generalization: Production.- 5.3 Generalization: Transportation.- 5.4 Beckmann’s Flow Model Revisited.- 5.5Differential Equations in the Plane.- 5.6 Structural Stability Defined.- 5.7 The Square Flow Grid.- 5.8 Triangular/Hexagonal Grids.- 5.9 Changes of Structure.- 5.10 Fractal Rent Landscapes.- 6 Commuting and Migrating.- 6.1 The Gravity Model.- 6.2 Traffic: Linear Routes.- 6.3 Traffic: Spiral Routes.- 6.4 The Entropy Model.- 6.5 Hotelling’s Migration Model.- 6.6 Stability of Hotelling’s Model.- 6.7 Hotelling’s Model with Production.- 6.8 Pure Growth in the Model with Production.- 6.9 Stationary Solutions for the Model with Production.- 6.10 Travelling Waves for the Model with Production.- 7 Cycles, Growth, and Equilibrium.- 7.1 Spatial Growth.- 7.2 Spatial Business Cycles.- 7.3 Equilibrium of the Beckmann Model.- 7.4 Stability.- 8 Transportation Networks.- 8.1 Transportation Cost Metrics.- 8.2 Nested Networks.- 8.3 Detours and Accessibility.- 8.4 Topological Considerations.- 8.5 Networks in Reality.- 8.6 Fractal Networks.- 8.7 Central Networks.- 8.8 The Number of Radials.- 8.9 Approximations.- 8.10 Bifurcations of Radials.- 8.11 Curved Bifurcations.- 8.12 Accessibility.- Epilogue.- List of Figures.- Author Index.- Glossary of Formulas.