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...
In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsber...
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...
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 s...
Inequality is one of the major problems of the contemporary world. Significant geographical disparities exist within nations of the developed world, as well as between these countries and those referred to as the 'South' in the Bruntland Report. Issues of equity and deprivation must be addressed in view of sustainable development. However, before policymakers can remove the obstacles to a fairer world, it is essential to understand the nature of inequality, both in terms of its spatial and socio-demographic characteristics.
This second volume in the series contains population studies...
Inequality is one of the major problems of the contemporary world. Significant geographical disparities exist within nations of the developed world...
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...
Robustandforensicanalysisofrelevantdatasupportedbyscienti?cmethodologies is key to challenging contemporary debates around the use and abuse of race s...
Good understanding of contemporary demographic structure and population dynamics underpins effective planning and decision making for the future. One of the key contributors to the development of a range of population projection methodologies over the past 40 years is Professor Phil Rees at the University of Leeds. This book contains an eclectic range of methodological and substantive contributions by a number of eminent researchers in the fields of population geography and demography that were presented at a conference to honour Professor Rees s retirement.
In this book different...
Good understanding of contemporary demographic structure and population dynamics underpins effective planning and decision making for the future. O...
While most texts on real analysis are content to assume the real numbers, or to treat them only briefly, this text makes a serious study of the real number system and the issues it brings to light. Analysis needs the real numbers to model the line, and to support the concepts of continuity and measure. But these seemingly simple requirements lead to deep issues of set theory-uncountability, the axiom of choice, and large cardinals. In fact, virtually all the concepts of infinite set theory are needed for a proper understanding of the real numbers, and hence of analysis itself.
By...
While most texts on real analysis are content to assume the real numbers, or to treat them only briefly, this text makes a serious study of the rea...
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...
A beautiful and relatively elementary account of a part of mathematics where three main fields - algebra, analysis and geometry - meet. The book provi...
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 collects a selection of the best articles presented at the CUPUM (Computers in Urban Planning and Urban Management) conference, held in the ...
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 collects a selection of the best articles presented at the CUPUM (Computers in Urban Planning and Urban Management) conference, held in the ...
This text plugs a gap in the standard curriculum by linking set theory with analysis. It features a distinctive, detailed treatment of the real numbers system, and combines an introduction to set theory with exposition of the essence of analysis.
This text plugs a gap in the standard curriculum by linking set theory with analysis. It features a distinctive, detailed treatment of the real number...
