Encompassing a broad range of innovative studies on planning support science, this timely Handbook examines how the consequences of pressing societal challenges can be addressed using computer-based systems. Chapters explore the use of new streams of big and open data as well as data from traditional sources, offering significant critical insights into the field. Contributions from key scholars from around the world demonstrate how mature the field of planning support science has become in providing support for practitioners to confront diverse problems. The Handbook analyses a carefully selected range of case studies looking at digitization, big data, geodesign, applied modelling, smart city instruments and planning support systems. It addresses key urban challenges including traffic congestion, neighbourhood gentrification and urban heat-island formation, providing examples of how planning practitioners can improve modern urban conditions. Scholars of urban and regional studies as well as human geographers will find this to be a critical reference on the topic. With examples of planning applications from across the world, this will also be a key resource for urban and regional planners and policy-makers. Contributors include: J. Barton, R. Behrens, C. Biderman, M. Birkin, S. Blanchard, P. Boden, M. Campagna, Y. Chen, H. Chou, J. Claassens, C. Daniel, C. de Boer, B. Deal, Z. Deng, S. Eagleson, F. Fernandez, F. Figari, J. Flacke, Q.-L. Gao, S. Geertman, X. Goldie, R. Goodspeed, P. Greenwood, Y. Gu, S. Guhathakurta, J.D. Hamerlinck, N. Hood, R. Hughes, W. James, E. Janowicz, R. Janssen, M. Kahila-Tani, R. Kingston, B.W. Koo, E. Koomen, P. Krause, H.R. Kwon, M. Kytta, S.Z. Leao, J. Li, S. Li, X. Li, S. Lieske, J. Liu, L. Liu, Z. Liu, O. Lock, N. Lomax, Y. Long, R. Lovelace, I. Luque-Martin, J. Martinez, S. Maurer, T. Moyo, W. Musakwa, A. Newing, H. Niu, P. Pelzer, C. Pettit, K. Pfeffer, S. Pinnegar, E. Punt, B. Rijken, R. Sieber, E.A. Silva, A.P. Smith, A. Staffans, I. Sterland, J. Stillwell, B. Stimson, T. Su, D.C. Swiatek, Z. Tomor, F. van den Bosch, V. Vlastaras, P. Waddell, S. Wang, M. Wegener, C. Whitcomb, P. Witte, A.G.O. Yeh, Y. Yue, G. Zhang, X. Zhang, N. Zhao, Z. Zheng, X. Zhou, M. Zuidgeest

Encompassing a broad range of innovative studies on planning support science, this timely Handbook examines how the consequences of pressing societal challenges can be addressed using computer-based systems. Chapters explore the use of new streams of big and open data as well as data from traditional sources, offering significant critical insights into the field. Contributions from key scholars from around the world demonstrate how mature the field of planning support science has become in providing support for practitioners to confront diverse problems. The Handbook analyses a carefully selected range of case studies looking at digitization, big data, geodesign, applied modelling, smart city instruments and planning support systems. It addresses key urban challenges including traffic congestion, neighbourhood gentrification and urban heat-island formation, providing examples of how planning practitioners can improve modern urban conditions. Scholars of urban and regional studies as well as human geographers will find this to be a critical reference on the topic. With examples of planning applications from across the world, this will also be a key resource for urban and regional planners and policy-makers. Contributors include: J. Barton, R. Behrens, C. Biderman, M. Birkin, S. Blanchard, P. Boden, M. Campagna, Y. Chen, H. Chou, J. Claassens, C. Daniel, C. de Boer, B. Deal, Z. Deng, S. Eagleson, F. Fernandez, F. Figari, J. Flacke, Q.-L. Gao, S. Geertman, X. Goldie, R. Goodspeed, P. Greenwood, Y. Gu, S. Guhathakurta, J.D. Hamerlinck, N. Hood, R. Hughes, W. James, E. Janowicz, R. Janssen, M. Kahila-Tani, R. Kingston, B.W. Koo, E. Koomen, P. Krause, H.R. Kwon, M. Kytta, S.Z. Leao, J. Li, S. Li, X. Li, S. Lieske, J. Liu, L. Liu, Z. Liu, O. Lock, N. Lomax, Y. Long, R. Lovelace, I. Luque-Martin, J. Martinez, S. Maurer, T. Moyo, W. Musakwa, A. Newing, H. Niu, P. Pelzer, C. Pettit, K. Pfeffer, S. Pinnegar, E. Punt, B. Rijken, R. Sieber, E.A. Silva, A.P. Smith, A. Staffans, I. Sterland, J. Stillwell, B. Stimson, T. Su, D.C. Swiatek, Z. Tomor, F. van den Bosch, V. Vlastaras, P. Waddell, S. Wang, M. Wegener, C. Whitcomb, P. Witte, A.G.O. Yeh, Y. Yue, G. Zhang, X. Zhang, N. Zhao, Z. Zheng, X. Zhou, M. Zuidgeest

This book introduces algebraic number theory through the problem of generalizing 'unique prime factorization' from ordinary integers to more general domains. Solving polynomial equations in integers leads naturally to these domains, but unique prime factorization may be lost in the process. To restore it, we need Dedekind's concept of ideals. However, one still needs the supporting concepts of algebraic number field and algebraic integer, and the supporting theory of rings, vector spaces, and modules. It was left to Emmy Noether to encapsulate the properties of rings that make unique prime factorization possible, in what we now call Dedekind rings. The book develops the theory of these concepts, following their history, motivating each conceptual step by pointing to its origins, and focusing on the goal of unique prime factorization with a minimum of distraction or prerequisites. This makes a self-contained easy-to-read book, short enough for a one-semester course.

The collection of reliable and comprehensive data on the magnitude, composition and distribution of a country’s population is essential in order for governments to provide services, administer effectively and guide a country’s development. The primary source of basic demographic statistics is frequently a population census, which provides hugely important data sets for policy makers, practitioners and researchers working in a wide range of different socio-demographic contexts. The Routledge Handbook of Census Resources, Methods and Applications provides a comprehensive and authoritative guide to the collection, processing, quality assessment and delivery of the different data products that constitute the results of the population censuses conducted across the United Kingdom in 2011. It provides those interested in using census data with an introduction to the collection, processing and quality assessment of the 2011 Census, together with guidance on the various types of data resources that are available and how they can be accessed. It demonstrates how new methods and technologies, such as interactive infographics and web-based mapping, are now being used to visualise census data in new and exciting ways. Perhaps most importantly, it presents a collection of applications of census data in different social and health science research contexts that reveal key messages about the characteristics of the UK population and the ways in which society is changing. The operation of the 2011 Census and the use of its results are set in the context of census-taking around the world and its historical development in the UK over the last 200 years. The results of the UK 2011 Census are a unique and reliable source of detailed information that are immensely important for users from a wide range of public and private sector organisations, as well as those working in Population Studies, Human Geography, Migration Studies and the Social Sciences more generally.

How the concept of proof has enabled the creation of mathematical knowledge The Story of Proof investigates the evolution of the concept of proof-one of the most significant and defining features of mathematical thought-through critical episodes in its history. From the Pythagorean theorem to modern times, and across all major mathematical disciplines, John Stillwell demonstrates that proof is a mathematically vital concept, inspiring innovation and playing a critical role in generating knowledge. Stillwell begins with Euclid and his influence on the development of geometry and its methods of proof, followed by algebra, which began as a self-contained discipline but later came to rival geometry in its mathematical impact. In particular, the infinite processes of calculus were at first viewed as "infinitesimal algebra," and calculus became an arena for algebraic, computational proofs rather than axiomatic proofs in the style of Euclid. Stillwell proceeds to the areas of number theory, non-Euclidean geometry, topology, and logic, and peers into the deep chasm between natural number arithmetic and the real numbers. In its depths, Cantor, Goedel, Turing, and others found that the concept of proof is ultimately part of arithmetic. This startling fact imposes fundamental limits on what theorems can be proved and what problems can be solved. Shedding light on the workings of mathematics at its most fundamental levels, The Story of Proof offers a compelling new perspective on the field's power and progress.

The collection of reliable and comprehensive data on the magnitude, composition and distribution of a country's population is essential in order for governments to provide services, administer effectively and guide a country's development. The primary source of basic demographic statistics is frequently a population census, which provides hugely important data sets for policy makers, practitioners and researchers working in a wide range of different socio-demographic contexts. The Routledge Handbook of Census Resources, Methods and Applications provides a comprehensive and authoritative guide to the collection, processing, quality assessment and delivery of the different data products that constitute the results of the population censuses conducted across the United Kingdom in 2011. It provides those interested in using census data with an introduction to the collection, processing and quality assessment of the 2011 Census, together with guidance on the various types of data resources that are available and how they can be accessed. It demonstrates how new methods and technologies, such as interactive infographics and web-based mapping, are now being used to visualise census data in new and exciting ways. Perhaps most importantly, it presents a collection of applications of census data in different social and health science research contexts that reveal key messages about the characteristics of the UK population and the ways in which society is changing. The operation of the 2011 Census and the use of its results are set in the context of census-taking around the world and its historical development in the UK over the last 200 years. The results of the UK 2011 Census are a unique and reliable source of detailed information that are immensely important for users from a wide range of public and private sector organisations, as well as those working in Population Studies, Human Geography, Migration Studies and the Social Sciences more generally.

This book introduces algebraic number theory through the problem of generalizing 'unique prime factorization' from ordinary integers to more general domains. Solving polynomial equations in integers leads naturally to these domains, but unique prime factorization may be lost in the process. To restore it, we need Dedekind's concept of ideals. However, one still needs the supporting concepts of algebraic number field and algebraic integer, and the supporting theory of rings, vector spaces, and modules. It was left to Emmy Noether to encapsulate the properties of rings that make unique prime factorization possible, in what we now call Dedekind rings. The book develops the theory of these concepts, following their history, motivating each conceptual step by pointing to its origins, and focusing on the goal of unique prime factorization with a minimum of distraction or prerequisites. This makes a self-contained easy-to-read book, short enough for a one-semester course.

This book offers a selection of the best articles presented at the CUPUM (Computers in Urban Planning and Urban Management) Conference, held in the second week of July 2017 at the University of South Australia in Adelaide. It provides a state-of-the-art overview of the availability and application of planning support systems (PSS) in the context of smart cities, big data, and urban futures. Rapid advances in computing, information, communication and web-based technologies are reaching into all facets of urban life, creating new and exciting urban futures. With the universal adoption of networked computing technologies, data generation is now so massive and all pervasive in society that it offers unprecedented technological solutions for planning and managing urban futures. These technologies are essential to effective urban planning and urban management in an increasingly challenging world, with socially disruptive changes, more complex and sophisticated urban lives and the need for resilience to deal with the possibility of adverse future environmental events and climate change. The book discusses examples of these technologies which encompass, inter alia: 'smart urban futures', where cities with myriad sensors are networked with communication technologies that enable the city planners to monitor well-being and be responsive to citizens' needs to allow dynamic management in real-time; PSS that encompass new hardware, develop new indicators, applications and innovative ways of facilitating public and community involvement in the management and planning of urban areas; and urban modelling that draws on theory and the richness of data from the growing range of urban sensing and communication technologies to build a better understanding of urban dynamics, trends and 'what-if' scenario investigations, and to provide better tools for planning and policymaking.

This book offers a selection of the best articles presented at the CUPUM (Computers in Urban Planning and Urban Management) Conference, held in the second week of July 2017 at the University of South Australia in Adelaide. It provides a state-of-the-art overview of the availability and application of planning support systems (PSS) in the context of smart cities, big data, and urban futures. Rapid advances in computing, information, communication and web-based technologies are reaching into all facets of urban life, creating new and exciting urban futures. With the universal adoption of networked computing technologies, data generation is now so massive and all pervasive in society that it offers unprecedented technological solutions for planning and managing urban futures. These technologies are essential to effective urban planning and urban management in an increasingly challenging world, with socially disruptive changes, more complex and sophisticated urban lives and the need for resilience to deal with the possibility of adverse future environmental events and climate change. The book discusses examples of these technologies which encompass, inter alia: 'smart urban futures', where cities with myriad sensors are networked with communication technologies that enable the city planners to monitor well-being and be responsive to citizens' needs to allow dynamic management in real-time; PSS that encompass new hardware, develop new indicators, applications and innovative ways of facilitating public and community involvement in the management and planning of urban areas; and urban modelling that draws on theory and the richness of data from the growing range of urban sensing and communication technologies to build a better understanding of urban dynamics, trends and 'what-if' scenario investigations, and to provide better tools for planning and policymaking.

This book is a selection of the best and peer-reviewed articles presented at the CUPUM (Computers in Urban Planning and Urban Management) conference, held in the second week of July 2015 at MIT in Boston, USA. The contributions provide state-of the art overview of the availability and application of Planning Support Systems (PSS) in the framework of Smart Cities.

This book collects a selection of the best articles presented at the CUPUM (Computers in Urban Planning and Urban Management) conference, held in the second week of July 2013 in Utrecht, the Netherlands. The articles included were selected by external reviewers using a double blind process.

This book is a selection of the best and peer-reviewed articles presented at the CUPUM (Computers in Urban Planning and Urban Management) conference, held in the second week of July 2015 at MIT in Boston, USA. The contributions provide state-of the art overview of the availability and application of Planning Support Systems (PSS) in the framework of Smart Cities.

Land use change is driven by a variety of forces, including spatial policies formulated at supra-national, national, regional and local levels. The main focus of this book is to contextualise, explain and illustrate a new methodology for simulating land use change in different parts of Europe. It considers some of the more important causal factors and identifies state-of-the-art approaches to modelling human and environmental systems, and for evaluating and visualising altenative scenarios. The last part of the volume presents material from two case studies, one from The Netherlands and one from Portugal, of the implementation of a new simulation model called EuroScanner.
"Audience: " This work will be of interest to researchers and practioners whose work involves geography, simulation and modelling, environmental planning, spatial decision making, the methodology of social sciences, and economics.

This book collects a selection of the best articles presented at the CUPUM (Computers in Urban Planning and Urban Management) conference, held in the second week of July 2013 in Utrecht, the Netherlands. The articles included were selected by external reviewers using a double blind process.

Although the human population growth rate of the world has been declining since peaking in the early 1960s, the populations of individual countries are changing at different rates. Population dynamics at national level are partly determined by levels of fertility and mortality, but the impact of international migration is playing an increasingly important role. Moreover, internal migration plays a major part in population change at the sub-national level.

This fourth volume in the series ""Understanding Population Trends and Processes"" is a celebration of the work of Professor Philip Rees. It contains chapters by contributors who have collaborated with Phil Rees on research or consultancy projects or as postgraduate students. Several chapters demonstrate the technical nature of population projection modelling and simulation methods while others illustrate issues relating to data availability and estimation. This book demonstrates the application of theoretical and modelling methods and addresses key issues relating to contemporary demographic patterns and trends.

"

Robustandforensicanalysisofrelevantdatasupportedbyscienti?cmethodologies is key to challenging contemporary debates around the use and abuse of race statistics.Controversiessurroundingthecollection, interpretationanduseofrace, ethnicityandethnicgroupdatahavealonghistory.BeingrootedinEugenics, this area of study has sparked intense reactions over the years. The abuse of 'race' statisticsisnotonlyapparentduringtimesofuncertaintybuthasbeenentrenchedin social policies and political discourses in Britain since the 1950s. The collection of research studies in this book is therefore much needed and timely, not least becauseofrecentdebatessurroundingthenatureandinteractionsofminorityethnic populationsinBritain. The numbers game is not new in British political discourses but took a nasty turnpost9/11andpeakedpost7/7 withdiversitybeingnegativelyassociatedwith concernsinrelationtopopulationsegregation, communitycon?ictsandterrorism. This book effectively debunks several myths and misinterpretions pertaining to populationdiversity, spatialdensityandthenatureofsocialrelationshipsbetween minority and majority groups. More importantly, armed with scienti?c evidence, it challenges the claim that spatial segregation along ethnic and racial lines is necessarily an indication of community tensions, social fragmentation and communitycon?icts. Despite the obvious bene?ts of valid and reliable data on population diversity for understanding social change and improving social conditions, there was little appetiteonthepartoftheBritishGovernmenttoformallycollectnationalstatistics onethnicityuntil1991.Notwithstandingthis, thechaptersinthisbookdemonstrate thatdatafromthe1991and2001Censusescan, despitetheirlimitations, provide Kay Hampton (BA Hons, MA, PhD, FRSA, FHEA) is Professor in Communities and Race Relations at the Glasgow Caledonian University. She was Chair, Deputy Chair and Scottish Commissioner on the Commission for Racial Equality (2003-2007) and Commissioner on the EqualityandHumanRightsCommission(2006-2009).SheiscurrentlyaCommissionerforthe ScottishHumanRightsCommission. 1 ThebombingsoftheTwinTowersinNewYorkon9September2001andtheLondonbombings on7July2005. v vi Foreword useful baseline statistics for conducting in-depth, analytical studies in contested areasof'race'andethnicity.

A beautiful and relatively elementary account of a part of mathematics where three main fields - algebra, analysis and geometry - meet. The book provides a broad view of these subjects at the level of calculus, without being a calculus book. Its roots are in arithmetic and geometry, the two opposite poles of mathematics, and the source of historic conceptual conflict. The resolution of this conflict, and its role in the development of mathematics, is one of the main stories in the book. Stillwell has chosen an array of exciting and worthwhile topics and elegantly combines mathematical history with mathematics. He covers the main ideas of Euclid, but with 2000 years of extra insights attached. Presupposing only high school algebra, it can be read by any well prepared student entering university. Moreover, this book will be popular with graduate students and researchers in mathematics due to its attractive and unusual treatment of fundamental topics. A set of well-written exercises at the end of each section allows new ideas to be instantly tested and reinforced.

The work of Max Dehn (1878-1952) has been quietly influential in mathematics since the beginning of the 20th century. In 1900 he became the first to solve one of the famous Hilbert problems (the third, on the decomposition of polyhedra), in 1907 he collaborated with Heegaard to produce the first survey of topology, and in 1910 he began publishing his own investigations in topology and combinatorial group theory. His influence is apparent in the terms Dehn's algorithm, Dehn's lemma and Dehn surgery (and Dehnsche Gruppenbilder, generally known in English as Cayley diagrams), but direct access to his work has been difficult. No edition of his works has been produced, and some of his most important results were never published, at least not by him. The present volume is a modest attempt to bring Dehn's work to a wider audience, particularly topologists and group theorists curious about the origins of their subject and interested in mining the sources for new ideas. It consists of English translations of eight works : five of Dehn's major papers in topology and combinatorial group theory, and three unpublished works which illuminate the published papers and contain some results not available elsewhere. In addition, I have written a short introduction to each work, summarising its contents and trying to establish its place among related works of Dehn and others, and I have added an appendix on the Dehn-Nielsen theorem (often known simply as Nielsen's theorem) .

In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsberg, Euler's polyhedron formula, and knots, the student is led to expect that these picturesque ideas will come to full flower in university topology courses. What a disappointment "undergraduate topology" proves to be! In most institutions it is either a service course for analysts, on abstract spaces, or else an introduction to homological algebra in which the only geometric activity is the completion of commutative diagrams. Pictures are kept to a minimum, and at the end the student still does nr~ understand the simplest topological facts, such as the rcason why knots exist. In my opinion, a well-balanced introduction to topology should stress its intuitive geometric aspect, while admitting the legitimate interest that analysts and algebraists have in the subject. At any rate, this is the aim of the present book. In support of this view, I have followed the historical development where practicable, since it clearly shows the influence of geometric thought at all stages. This is not to claim that topology received its main impetus from geometric recreations like the seven bridges; rather, it resulted from the l'isualization of problems from other parts of mathematics-complex analysis (Riemann), mechanics (Poincare), and group theory (Dehn). It is these connec tions to other parts of mathematics which make topology an important as well as a beautiful subject.

Significant changes have occured in the structural composition and geographical distribu tion of the populations of North West European countries during the 1970's and 1980's. Whilst the subject matter of this volume reflects many of the important themes of research activity that have preoccupied British and Dutch spatial demographers and population geographers over the last decade, the structure of the book aims to facilitate comparison of those selected themes between the United Kingdom and the Netherlands. The book has gradually taken shape over the period of time since the conference in Oxford, in 1986, when the contents were first presented. We are very grateful for the assistance that we have received during the production process from Marjie Salisbury, Tim Hadwin and John Dixon at the School of Geography, University of Leeds; from Annemieke Perquin at the National Physical Planning Agency in The Hague; and from Evert Meijer, Elmy Heuvelmans and Berry van Houten at GEODAN in Amsterdam. We also wish to acknowledge the contributions to the field of population geography that have been made in recent years by John Coward, who died so tragically in the Ke gworth air disaster earlier this year."

Although the human population growth rate of the world has been declining since peaking in the early 1960s, the populations of individual countries are changing at different rates. Population dynamics at national level are partly determined by levels of fertility and mortality, but the impact of international migration is playing an increasingly important role. Moreover, internal migration plays a major part in population change at the sub-national level.

This fourth volume in the series ""Understanding Population Trends and Processes"" is a celebration of the work of Professor Philip Rees. It contains chapters by contributors who have collaborated with Phil Rees on research or consultancy projects or as postgraduate students. Several chapters demonstrate the technical nature of population projection modelling and simulation methods while others illustrate issues relating to data availability and estimation. This book demonstrates the application of theoretical and modelling methods and addresses key issues relating to contemporary demographic patterns and trends.

"

The first worldwide overview of Planning Support Systems (PSS) and their application in practice. PSS are geo-technology related instruments consisting of theories, information, methods, tools, et cetera for support of unique professional public or private planning tasks at any spatial scale. The aim is to advance progress in the development of PSS, which are far from being effectively integrated into the planning practice. The text provides an Internet-based worldwide inventory of innovative examples and successful applications of PSS in a number of different planning contexts. In-depth insights into the purposes, content, workings, and applications of a very wide diversity of PSS are given.

The 1990s have seen some remarkable changes in geographical information (GI) provision and computer technology that have impacted on many of the activities that constitute planning in all its different forms. However, relatively few texts in the field of geographical information systems (GIS) and planning have been published since Henk Scholten and John Stillwell edited Geographical Information Systems for Urban and Regional Planning in 1990. This volume seeks to redress the balance by showing how GI of various types is being used in urban, physical, environmental, socio-economic and business planning contexts at local, regional and national scales with the assistance of GIS and modelling methods, and how the uses of GI and GI technologies have evolved over the last decade. During this period, a number of meetings took place in Europe in different locations organised initially by European Geographical Information Systems (EGIS, 1990- 94) and more recently by the Joint European Conference and Exhibition (JEC) on Geographical Information (1995-97). These meetings brought together members of the GI community from across the world to discuss GI research and GIS applications. One of the Special Interest Groups associated with the JEC gatherings was that on 'Geographical Information and Planning' and several of the contributions in this book have their origins in papers presented to the group's meetings.

Solutions of equations in integers is the central problem of number theory and is the focus of this book. The amount of material is suitable for a one-semester course. The author has tried to avoid the ad hoc proofs in favor of unifying ideas that work in many situations. There are exercises at the end of almost every section, so that each new idea or proof receives immediate reinforcement.

This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants

Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic

Abundantly supplemented with figures and exercises