Mathematics for geographers and planners (Contemporary problems in geography)

Wilson, A.G.

Clarendon Press

Mathematics for Geographers and Planners. (Contemporary Problems in Geography)

Mathematics for Geographers and Planners: Contemporary Problems in Geography

Politics & Social Sciences

Kirkby, M. J.

Politics & Government

Mathematics for Geographers and Planners (Contemporary Problems in Geography)

The second edition of this textbook has been substantially enlarged. It now includes a chapter on catastrophe theory and bifurcation, which bring these recently developed techniques within the range of the geographer; and allows for a considerable increase in the number of exercises and worked examples. These are provided to help the student master the mathematics and to relate mathematical methods to geographical problems. The examples are taken from recent literature and from the classical models of von Thunen, Weber and others. Geographical statisticians; spatial analysts; students of planning.

Science & Math

Mathematics

Oxford University Press

Children's Books

History

Theoretical researches in general relativity and observational data from galactic astronomy combine in this volume in contributions to one of the oldest questions of natural philosophy: Is the structure of the physical world more adequately described by a continuous or a discrete mode of representation? Since the days of the Pythagoreans, this question has surfaced from time to time in various guises in science as well as in philosophy. One of the most bitterly contested and illuminating controversies between the continuous and the discrete viewpoints is to be found in the wave versus corpuscular description of optical phenom enae. This controversy was not resolved to the satisfaction of most of its protaganists until the development of the quantum theory. However, several obscurities that still becloud the question suggest that some deeper formulation may be necessary before more satisfactory answers can be given 1. The firm establishment of the validity of quantized structure and discrete energy distributions on the atomic scale following the ideas of Max Planck, together with the apparent absence of quan tization effect in astronomical and cosmic structures leaves uncertainties concerning the role played by the scale of the observer in perceiving or not perceiving discrete distributions. Some of the metaphysical inter pretations and implications of the quantum mechanics that have been made in recent years 2 would be subject to revision if the existence of discretized descriptions were to be established in astronomical and cosmic structures.

Relativity and the Question of Discretization in Astronomy

Edelen, D.G.

Springer, Verlag

Geography and the Environment: Systems Analytical Methods

Travel

John Wiley&Sons

First published in 1970, this groundbreaking investigation into Entropy in Urban and Regional Modelling provides an extensive and detailed insight into the entropy maximising method in the development of a whole class of urban and regional models.  The book has its origins in work being carried out by the author in 1966, when he realised that the well-known gravity model could be derived on the basis of an analogy with statistical, rather than Newtonian, mechanics. Subsequent investigation demonstrated that the entropy maximising method stems from an even higher level of generality, and the beginning of the book is devoted to an account of its importance and use as a general modelling tool.  This reissue will be welcomed by a range of students and professionals from fields as diverse as urban and regional studies, economics, geography, planning, civil engineering, mathematics and statistics.

Entropy in urban and regional modelling (Monographs in spatial and environmental systems analysis)

Social Sciences

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Books by Wilson, A.G.