LEADER 05729nam 22004813 450 001 9910583030303321 005 20250416132445.0 010 $a9780081022306 010 $a0081022301 035 $a(CKB)3710000001064577 035 $a(MiAaPQ)EBC4804455 035 $a(Au-PeEL)EBL4804455 035 $a(CaPaEBR)ebr11345046 035 $a(CaONFJC)MIL992478 035 $a(OCoLC)973834615 035 $a(BIP)58598493 035 $a(BIP)58079864 035 $a(EXLCZ)993710000001064577 100 $a20210901d2017 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGeographical Models with Mathematica 210 1$aSan Diego :$cElsevier,$d2017. 210 4$dİ2017. 215 $a1 online resource (316 pages) 311 08$a9781785482250 311 08$a1785482254 327 $aFront Cover -- Geographical Models with Mathematica -- Copyright -- Contents -- Introduction -- I.1. The scientific practice of the geographer -- I.2. The three forms of geography projects -- I.3. Plan of the work -- I.4. How should this work be read? -- I.5. Appendix 1: a general modeling language Mathematica -- PART 1: Modeling the Relationships between Societies and Nature -- 1. The Theoretical Context of Classical Geography -- 1.1. Environmentalism - a theory that is still rejected -- 1.2. The theoretical double paradox of classical geography -- 1.3. The general theory of systems and the theories derived therefrom -- 1.4. Conclusion -- 1.5. Appendix 2: Importing data within Mathematica -- 2. Statistical and Probability Models for Given Relationships Between Societies and the Natural Environment -- 2.1. Acknowledging the probability model for recorded data -- 2.2. Modeling the relationships between two or several variables -- 2.3. Temporalities and time series models -- 2.4. Conclusion -- 2.5. Appendix 3: chronological program processing -- 3. Models of Ordinary Dynamic Systems -- 3.1. Four lines of questioning to understand the behavior of a dynamic system -- 3.2. Initiation in the modeling of dynamic systems -- 3.3. Assets and restrictions of ODE models -- 3.4. More realistic models of geographical systems -- 3.5. Conclusion -- 3.6. Appendix 4: crowd behavior in catastrophic situations -- PART 2: Modeling Geographic Locations -- 4. Theories of Geographical Locations -- 4.1. Introduction to spatial economic theories -- 4.2. A new urban economy and a new economic geography -- 4.3. Conclusion -- 5. Theoretical Geolocation Models -- 5.1. Von Thu?nen and d'Alonso's monocentric and polycentric models -- 5.2. Steiner's model generalizes Weber's -- 5.3. Central place models in the making -- 5.4. Conclusion. 327 $aPART 3: Spatial Structures and Territorial Dynamics -- 6. Theories Used to Understand Territorial Structures and Dynamics -- 6.1. From terrestrial to geographical space -- 6.2. Some theories drawn from various fields and used to explain simple territorial forms -- 6.3. From morphology to morphogenesis -- 6.4. An overview of morphogenetic theories -- 6.5. Conclusion -- 6.6. Appendix 5: globalization at the root of a paradox: homogenization and global fracturing -- 7. Models of Basic Structures: Points and Fields -- 7.1. Modeling the point structures of a geographical space -- 7.2. Modeling geographical fields -- 7.3. Conclusion -- 7.4. Appendix 6: Introduction to the morphometric analysis of the Grenoble Alps -- 8. Models of Basic Structures: Networks -- 8.1. The two aspects of a network: graphs and matrices -- 8.2. Modeling the structure of a spatial network -- 8.3. Qualitative geographical models and graph theory -- 8.4. Modeling network dynamics -- 8.5. Conclusion -- 8.6. Appendix 7: A geometric approach to the network of French metropolises -- 9. Geographical Space as a Mixture of Basic Spatial Structures -- 9.1. Testing links between two elementary spatial structures -- 9.2. Modeling complex spatial structures: machine learning and choremes -- 9.3. Modeling multiscale spatial structures -- 9.4. Conclusion -- 10. Morphogenetic Macro and Micro-models -- 10.1. Time series typical of morphogenetic theories -- 10.2. Modeling the dynamics of territorial systems: from ODEs to PDEs -- 10.3. Cellular automata, Brownian motions and multi-agent systems -- 10.4. Conclusion -- 10.5. Appendix 8: simulating urban growth along the French Riviera with a cellular automata model -- Conclusion -- Bibliography -- Introduction -- Chapter 1 -- Chapter 2 -- Chapter 3 -- Chapter 4 -- Chapter 5 -- Chapter 6 -- Chapter 7 -- Chapter 8 -- Chapter 10 -- Index -- Back Cover. 330 $aGeographical Models with Mathematica provides a fairly comprehensive overview of the types of models necessary for the development of new geographical knowledge, including stochastic models, models for data analysis, for geostatistics, for networks, for dynamic systems, for cellular automata and for multi-agent systems, all discussed in their theoretical context.The author then provides over 65 programs, written in the Mathematica language, that formalize these models. Case studies are provided to help the reader apply these programs to their own studies.- Provides theoretical, stochastic and dynamic system models- Covers data science, both in a spatial and spatio-temporal analysis- Presents a microstructural understanding of the mechanical behavior of granular materials 676 $a910/.015118 676 $a910.015118 700 $aDauphine?$b Andre?$0417449 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910583030303321 996 $aGeographical Models with Mathematica$91934534 997 $aUNINA