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.

Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics--but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics. Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.

The invention of ideals by Dedekind in the 1870s was well ahead of its time, and proved to be the genesis of what today we would call algebraic number theory. His memoir 'Sur la Theorie des Nombres Entiers Algebriques' first appeared in instalments in the 'Bulletin des sciences mathematiques' in 1877. This is a translation of that work by John Stillwell, who also adds a detailed introduction that gives the historical background as well as outlining the mathematical obstructions that Dedekind was striving to overcome. Dedekind's memoir gives a candid account of his development of an elegant theory as well as providing blow-by-blow comments as he wrestled with the many difficulties encountered en route. A must for all number theorists.

Yearning for the Impossible: The Surprising Truth of Mathematics, Second Edition explores the history of mathematics from the perspective of the creative tension between common sense and the "impossible" as the author follows the discovery or invention of new concepts that have marked mathematical progress. The author puts these creations into a broader context involving related "impossibilities" from art, literature, philosophy, and physics. This new edition contains many new exercises and commentaries, clearly discussing a wide range of challenging subjects.

Yearning for the Impossible: The Surprising Truth of Mathematics, Second Edition explores the history of mathematics from the perspective of the creative tension between common sense and the "impossible" as the author follows the discovery or invention of new concepts that have marked mathematical progress. The author puts these creations into a broader context involving related "impossibilities" from art, literature, philosophy, and physics. This new edition contains many new exercises and commentaries, clearly discussing a wide range of challenging subjects.

This Element aims to present an outline of mathematics and its history, with particular emphasis on events that shook up its philosophy. It ranges from the discovery of irrational numbers in ancient Greece to the nineteenth- and twentieth-century discoveries on the nature of infinity and proof. Recurring themes are intuition and logic, meaning and existence, and the discrete and the continuous. These themes have evolved under the influence of new mathematical discoveries and the story of their evolution is, to a large extent, the story of philosophy of mathematics.

This book presents reverse mathematics to a general mathematical audience for the first time. Reverse mathematics is a new field that answers some old questions. In the two thousand years that mathematicians have been deriving theorems from axioms, it has often been asked: which axioms are needed to prove a given theorem? Only in the last two hundred years have some of these questions been answered, and only in the last forty years has a systematic approach been developed. In Reverse Mathematics, John Stillwell gives a representative view of this field, emphasizing basic analysis--finding the "right axioms" to prove fundamental theorems--and giving a novel approach to logic. Stillwell introduces reverse mathematics historically, describing the two developments that made reverse mathematics possible, both involving the idea of arithmetization. The first was the nineteenth-century project of arithmetizing analysis, which aimed to define all concepts of analysis in terms of natural numbers and sets of natural numbers. The second was the twentieth-century arithmetization of logic and computation. Thus arithmetic in some sense underlies analysis, logic, and computation. Reverse mathematics exploits this insight by viewing analysis as arithmetic extended by axioms about the existence of infinite sets. Remarkably, only a small number of axioms are needed for reverse mathematics, and, for each basic theorem of analysis, Stillwell finds the "right axiom" to prove it. By using a minimum of mathematical logic in a well-motivated way, Reverse Mathematics will engage advanced undergraduates and all mathematicians interested in the foundations of mathematics.

The first book surveying the history and ideas behind reverse mathematics Reverse mathematics is a new field that seeks to find the axioms needed to prove given theorems. In Reverse Mathematics, John Stillwell offers a historical and representative view, emphasizing basic analysis and giving a novel approach to logic. By using a minimum of mathematical logic in a well-motivated way, Reverse Mathematics will engage advanced undergraduates and all mathematicians interested in the foundations of mathematics.

Winner of a CHOICE Outstanding Academic Title Award for 2011
This book offers an introduction to modern ideas about infinity and their implications for mathematics. It unifies ideas from set theory and mathematical logic, and traces their effects on mainstream mathematical topics of today, such as number theory and combinatorics. The treatment is historical and partly informal, but with due attention to the subtleties of the subject.

Ideas are shown to evolve from natural mathematical questions about the nature of infinity and the nature of proof, set against a background of broader questions and developments in mathematics. A particular aim of the book is to acknowledge some important but neglected figures in the history of infinity, such as Post and Gentzen, alongside the recognized giants Cantor and Godel.

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 is a reproduction of a book published before 1923. This book may have occasional imperfectionssuch as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed worksworldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.++++The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to ensure edition identification: ++++ What's The Use Of Breathing? John Stillwell Schanck Medical; Physiology; Medical / Physiology; Medical / Pulmonary & Thoracic Medicine; Respiration

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.

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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.