This book is intended to complement my Elements oi Algebra, and it is similarly motivated by the problem of solving polynomial equations. However, it is independent of the algebra book, and probably easier. In Elements oi Algebra we sought solution by radicals, and this led to the concepts of fields and groups and their fusion in the celebrated theory of Galois. In the present book we seek integer solutions, and this leads to the concepts of rings and ideals which merge in the equally celebrated theory of ideals due to Kummer and Dedekind. Solving equations in integers is the central problem...

Planning Support Systems: Technologies that are Driving Planning Michael Batty Centre for Advanced Spatial Analysis (CASA), University College London, 1-19 Torrington Place, London WC 1 E 6BT, United Kingdom I had always thought the term 'Planning Support Systems', abbreviated to PSS, had been coined by the father of land use modelling, Britton Harris, in his article 'Beyond Geographic Information Systems: computers and the planning professional' published in the Journal of the American Planning Association in 1989 (Harris 1989). Until I asked hirn, that iso In a response to a paper he gave...

This book demonstrates the state of the art in the use of information systems and modelling methods in different spatial/geographical planning contexts. It provides a review of developments in the 1990s and detailed insights into the current application of geographical information technology in urban, physical, environmental and socio-economic planning. Important advances in the use of the Internet for access to data and to GIS for planning are also considered. Perspectives are provided by a wide range of contributors from academia, planning practice and the business world.

by John Stillwell I. General Reaarb, Poincare's papers on Fuchsian and Kleinian I1'OUps are of Il'eat interest from at least two points of view: history, of course, but also as an inspiration for further mathematical proll'ess. The papers are historic as the climax of the ceometric theory of functions initiated by Riemann, and ideal representatives of the unity between analysis, ceometry, topololY and alcebra which prevailed during the 1880's. The rapid mathematical prOll'ess of the 20th century has been made at the expense of unity and historical perspective, and if mathematics is not to...

by John Stillwell I. General Reaarb, Poincare's papers on Fuchsian and Kleinian I1'OUps are of Il'eat interest from at least two points of view: history, of course, but also as an inspiration for further mathematical proll'ess. The papers are historic as the climax of the ceometric theory of functions initiated by Riemann, and ideal representatives of the unity between analysis, ceometry, topololY and alcebra which prevailed during the 1880's. The rapid mathematical prOll'ess of the 20th century has been made at the expense of unity and historical perspective, and if mathematics is not to...