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Affine Maps, Euclidean Motions and Quadrics (Springer Undergraduate Mathematics Series)
by Agustí Reventós TarridaAffine geometry and quadrics are fascinating subjects alone, but they are also important applications of linear algebra. They give a first glimpse into the world of algebraic geometry yet they are equally relevant to a wide range of disciplines such as engineering. This text discusses and classifies affinities and Euclidean motions culminating in classification results for quadrics. A high level of detail and generality is a key feature unmatched by other books available. Such intricacy makes this a particularly accessible teaching resource as it requires no extra time in deconstructing the author's reasoning. The provision of a large number of exercises with hints will help students to develop their problem solving skills and will also be a useful resource for lecturers when setting work for independent study. Affinities, Euclidean Motions and Quadrics takes rudimentary, and often taken-for-granted, knowledge and presents it in a new, comprehensive form. Standard and non-standard examples are demonstrated throughout and an appendix provides the reader with a summary of advanced linear algebra facts for quick reference to the text. All factors combined, this is a self-contained book ideal for self-study that is not only foundational but unique in its approach.' This text will be of use to lecturers in linear algebra and its applications to geometry as well as advanced undergraduate and beginning graduate students.
Affine, Vertex and W-algebras (Springer INdAM Series #37)
by Paolo Papi Dražen AdamovićThis book focuses on recent developments in the theory of vertex algebras, with particular emphasis on affine vertex algebras, affine W-algebras, and W-algebras appearing in physical theories such as logarithmic conformal field theory. It is widely accepted in the mathematical community that the best way to study the representation theory of affine Kac–Moody algebras is by investigating the representation theory of the associated affine vertex and W-algebras. In this volume, this general idea can be seen at work from several points of view. Most relevant state of the art topics are covered, including fusion, relationships with finite dimensional Lie theory, permutation orbifolds, higher Zhu algebras, connections with combinatorics, and mathematical physics. The volume is based on the INdAM Workshop Affine, Vertex and W-algebras, held in Rome from 11 to 15 December 2017. It will be of interest to all researchers in the field.
Africa and Mathematics: From Colonial Findings Back to the Ishango Rods (Mathematics, Culture, and the Arts)
by Dirk HuylebrouckThis volume on ethnomathematics in Central Africa fills a gap in the current literature, focusing on a region rarely explored by other publications. It highlights the discovery of the Ishango rod, which was found to be the oldest mathematical tool in humanity's history, thereby shifting the origin of mathematics to the heart of Africa, and explores the different scientific hypotheses that emerged as a result. While it contains some high-level mathematics, the non-mathematical reader can easily skip these portions and enjoy the book’s survey of African history, culture, and art.
Africa's Demographic Transition
by David Canning Abdo S. Yazbeck Sangeeta RajaAfrica is poised on the edge of a potential takeoff to sustained economic growth. This takeoff can be abetted by a demographic dividend from the changes in population age structure. Declines in child mortality, followed by declines in fertility, produce a 'bulge' generation and a large number of working age people, giving a boost to the economy. In the short run lower fertility leads to lower youth dependency rates and greater female labor force participation outside the home. Smaller family sizes also mean more resources to invest in the health and education per child boosting worker productivity. In the long run increased life spans from health improvements mean that this large, high-earning cohort will also want to save for retirement, creating higher savings and investments, leading to further productivity gains. Two things are required for the demographic dividend to generate an African economic takeoff. The first is to speed up the fertility decline that is currently slow or stalled in many countries. The second is economic policies that take advantage of the opportunity offered by demography. While demographic change can produce more, and high quality, workers, this potential workforce needs to be productively employed if Africa is to reap the dividend. However, once underway, the relationship between demographic change and human development works in both directions, creating a virtuous cycle that can accelerate fertility decline, social development, and economic growth. Empirical evidence points to three key factors for speeding the fertility transition: child health, female education, and women's empowerment, particularly through access to family planning. Harnessing the dividend requires job creation for the large youth cohorts entering working age, and encouraging foreign investment until domestic savings and investment increase. The appropriate mix of policies in each country depends on their stage of the demographic transition.
Africa's Population: In Search of a Demographic Dividend
by John F. May Hans GrothThis book examines the promises as well as the challenges the demographic dividend brings to sub-Saharan Africa as fertility rates in the region fall and the labor force grows. It offers a detailed analysis of what conditions must be met in order for the region to take full economic advantage of ongoing population dynamics. As the book makes clear, the region will need to accelerate reforms to cope with its demographic transition, in particular the decline of fertility. The continent will need to foster human capital formation through renewed efforts in the areas of education, health and employment. This will entail a true vision and determination on the part of African leaders and their development partners. The book will help readers to gain solid knowledge of the demographic trends and provide insights into socioeconomic policies that eventually might lead sub-Saharan Africa into a successful future.
Africa: A Geographical Study (Routledge Revivals)
by Clifford Embleton Alan B MountjoyFirst published in 1965, Africa provides a geographical, political, economic and social description of the continent. Contemporary Africa is a continent of change and revolutions. The diversity and limitations of the African environment gives us a fuller understanding of the explosive dynamism of the African economic and social scene. This book will be of interest to students of geography, economy, anthropology and political science.
Africa: Geography and Development (Routledge Revivals)
by David Hilling Alan B MountjoyFirst published in 1988, Africa examines the varied pattern of development in the continent, the progress and the disappointments experienced, and the prospects. This picture is set firmly within the frame of the continent’s geography. From a general synthesis, the books moves to a country by country analysis of the interdependence of geography and economic development. The authors’ analysis of the effects of varied development strategies in Africa leads them, in the final section, to discuss what lessons maybe learned from these earlier initiatives and to assess the changes in development policies that were later implemented. This book will be of interest to students of geography, economics and development studies.
African Minorities in the New World (African Studies)
by Toyin Falola Niyi AfolabiThis book uncovers the reality that new African immigrants now represent a significant force in the configuration of American polity and identity especially in the last forty years. Despite their minority status, African immigrants are making their marks in various areas of human endeavor and accomplishments—from academic, to business, to even scientific inventions. The demographic shift is both welcome news as well as a matter for concern given the consequences of displacement and the paradoxes of exile in the new location. By its very connection to the ‘Old African Diaspora,’ the notion of a ‘New African Diaspora’ marks a clear indication of a historical progression reconnecting continental Africa with the New World without the stigma of slavery. Yet, the notion of trans-Atlantic slavery is never erased when the African diaspora is mentioned whether in the old or new world. Within this paradoxical dispensation, the new African diaspora must be conceived as the aftermath of a global migration crisis.
After Work Balance: Die Perspektiven der Älteren (essentials)
by Dietmar GoldammerWir werden immer älter, und viele Menschen sind beim Eintritt in den Ruhestand noch fit und möchten eine Tätigkeit ausüben, die ihnen Freude bereitet und für andere Nutzen stiftet. Dietmar Goldammer klärt auf, regt an und mobilisiert. Unterschiedliche individuelle Voraussetzungen erfordern unterschiedliche Strategien für eine veränderte Lebenssituation der älteren Menschen, und der Autor informiert mit zahlreichen Beispielen darüber, wie andere diese Situation erfolgreich gelöst haben. Zuvor stellt er dar, wie man sich auf den Ruhestand vorbereiten kann, welche Möglichkeiten es gibt und worauf man achten sollte. Auf diese Weise wird deutlich, dass man auch nach der Pensionierung noch erstrebenswerte Ziele erreichen kann.
After the Baby Boomers: How Twenty- and Thirty-Somethings Are Shaping the Future of American Religion
by Robert WuthnowMuch has been written about the profound impact the post-World War II baby boomers had on American religion. But the lifestyles and beliefs of the generation that has followed--and the influence these younger Americans in their twenties and thirties are having on the face of religion--are not so well understood. It is this next wave of post-boomers that Robert Wuthnow examines in this illuminating book. What are their churchgoing habits and spiritual interests and needs? How does their faith affect their families, their communities, and their politics? Interpreting new evidence from scores of in-depth interviews and surveys, Wuthnow reveals a generation of younger adults who, unlike the baby boomers that preceded them, are taking their time establishing themselves in careers, getting married, starting families of their own, and settling down--resulting in an estimated six million fewer regular churchgoers. He shows how the recent growth in evangelicalism is tapering off, and traces how biblical literalism, while still popular, is becoming less dogmatic and more preoccupied with practical guidance. At the same time, Wuthnow explains how conflicts between religious liberals and conservatives continue--including among new immigrant groups such as Hispanics and Asians--and how in the absence of institutional support many post-boomers have taken a more individualistic, improvised approach to spirituality. Wuthnow's fascinating analysis also explores the impacts of the Internet and so-called virtual churches, and the appeal of megachurches. After the Baby Boomers offers us a tantalizing look at the future of American religion for decades to come.
After the Spike: Population, Progress, and the Case for People
by Dean Spears Michael GerusoWhat if the challenge for humanity&’s future is not too many people on a crowded planet, but too few people to sustain the progress that the world needs? Most people on Earth today live in a country where birth rates already are too low to stabilize the population: fewer than two children for every two adults. In After the Spike, economists Dean Spears and Michael Geruso sound a wakeup call, explaining why global depopulation is coming, why it matters, and what to do now. It would be easy to think that fewer people would be better—better for the planet, better for the people who remain. This book invites us all to think again. Despite what we may have been told, depopulation is not the solution we urgently need for environmental challenges like climate change. Nor will it raise living standards by dividing what the world can offer across fewer of us. Spears and Geruso investigate what depopulation would mean for the climate, for living standards, for equity, for progress, for freedom, for humanity&’s general welfare. And what it would mean if, instead, people came together to share the work of caregiving and of building societies where parenting fits better with everything else that people aspire to. With new evidence and sharp insights, Spears and Geruso make a lively and compelling case for stabilizing the population—without sacrificing our dreams of a greener future or reverting to past gender inequities. They challenge us to see how depopulation threatens social equity and material progress, and how welcoming it denies the inherent value of every human life. More than an assembly of the most important facts, After the Spike asks what future we should want for our planet, for our children, and for one another.
Again, Essie? (Storytelling Math)
by Jenny LacikaCelebrate diversity, math, and the power of storytelling!Rafael wants to protect his toys from his little sister, Essie. Gathering materials from around the house, he builds a wall tall enough and wide enough to keep her out. But will it be strong enough? And what does Essie really want? A playful exploration of physical space and geometry, featuring Chicanx (Mexican American) characters and a glossary of Spanish words.Storytelling Math celebrates children using math in their daily adventures as they play, build, and discover the world around them. Joyful stories and hands-on activities make it easy for kids and their grown-ups to explore everyday math together. Developed in collaboration with math experts at STEM education nonprofit TERC, under a grant from the Heising-Simons Foundation.
Against All Odds: Women’s Ways to Mathematical Research Since 1800 (Women in the History of Philosophy and Sciences #6)
by Eva Kaufholz-Soldat Nicola M. R. OswaldThis book presents an overview of the ways in which women have been able to conduct mathematical research since the 18th century, despite their general exclusion from the sciences. Grouped into four thematic sections, the authors concentrate on well-known figures like Sophie Germain and Grace Chisholm Young, as well as those who have remained unnoticed by historians so far. Among them are Stanisława Nidodym, the first female students at the universities in Prague at the turn of the 20th century, and the first female professors of mathematics in Denmark. Highlighting individual biographies, couples in science, the situation at specific European universities, and sociological factors influencing specific careers from the 18th century to the present, the authors trace female mathematicians’ status as it evolved from singular and anomalous to virtually commonplace.The book also offers insights into the various obstacles women faced when trying to enter perhaps the “most male” discipline of all, and how some of them continue to shape young girls’ self-perceptions and career choices today. Thus, it will benefit scholars and students in STEM disciplines, gender studies and the history of science; women in science, mathematics and at institutions, and those working in mathematics education.
Against the Stream: Reflections of an Unconventional Demographer
by William PetersenWith the insight and clarity that mark all of Petersen's writings, Against the Stream brings together reflections of an unconventional demographer. Thirteen essays on various topics become a cohesive unit by virtue of the author's unique point of view, and the understanding of contemporary events he has gathered in his long mastery of demography is evident in this volume.In a brief introduction the author points out that the viewpoints he expresses in the volume are unorthodox. He covers a variety of topics. Chapter 1 examines utopian thought, which Petersen notes usually gets good press that, in his view, is undeserved. Chapter 2 discusses planned communities and suburbanization, beginning with two famous utopias presented in books by Edward Bellamy and Ebenezer Howard, which had significant influence on American and British societies. Chapter 3 analyzes the perennial topic of how the balance between people and their sustenance will evolve. Chapter 4 critically explores Durkheim's analysis of suicide. Chapters 5 and 6 analyze the culture, language, and geographical positions of the individual countries of Belguim and Canada, providing a fresh outlook on these routine topics. Chapters 7 and 8 evaluate rebellious Berkeley students and adolescent student rebels in general as the juvenile delinquents that they often are. Chapter 9 discusses the anti-urban bias of the mainline American Churches. Chapter 10 traces the historical roots of Christian holidays, pointing out their significant links with prior religions. Chapter 11 critically examines the history of the English language as a guide to current usage. Chapters 12 and 13 survey two widely misunderstood demographic topics the cause of death and obesity and provide some stimulating new ideas.This latest work by a distinguished demographer is a tightly knit, compact volume, a compendium of thought written in a nontechnical manner and about various subjects that will both interest the general
Against the Tide: An Autobiographical Account of a Professional Outsider
by L.C WoodsIn Against the Tide: An Autobiographical Account of a Professional Outsider, Leslie Woods relates the fascinating story of his life from fisherman's son in New Zealand to head of the Mathematical Institute at the University of Oxford. After starting at a trade school, he won a scholarship to a university, then joined the RNZAF, and later became a fighter pilot in the Pacific. Following WWII, Woods won a Rhodes scholarship to Merton College in Oxford. He has held positions at the University of New South Wales, Oxford's Balliol College, and Culham Laboratory. Besides recounting his history, Woods explains why magnetic fusion has failed to succeed and outlines the philosophy of science to which he subscribes.
Age Structured Epidemic Modeling (Interdisciplinary Applied Mathematics #52)
by Maia Martcheva Xue-Zhi Li Junyuan YangThis book introduces advanced mathematical methods and techniques for analysis and simulation of models in mathematical epidemiology. Chronological age and class-age play an important role in the description of infectious diseases and this text provides the tools for the analysis of this type of partial differential equation models. This book presents general theoretical tools as well as large number of specific examples to guide the reader to develop their own tools that they may then apply to study structured models in mathematical epidemiology. The book will be a valuable addition to the arsenal of all researchers interested in developing theory or studying specific models with age structure.
Age into Race: The Coronization of the Old (International Perspectives on Aging #38)
by Haim HazanAge into Race is a socio-anthropological essay on the repercussions of the Covid-19 pandemic on the cultural status of the old. As the worldwide horrors of the Corona era have since been publicly repressed, the text is geared to revisit and relive the tenor of that time while considering its latent revolutionary aftermath. There was wide agreement that Covid-19 policies targeted older people as a risk group in need of protection, setting it apart from the rest of society. Yet, paradoxically, long-term facilities for older people effectively became Covid-19 death traps. What kind of abandonment propelled this apparent contradiction? This book provides an answer by looking at ageist practices regarding Covid-19 triaging, lockdowns and distancing that affected older people around the world, devising Covid-19 as an inevitable "problem of the elderly" and, by implication, instating and categorizing "the elderly" as a public problem to be bio-politically managed and wrought. The Covid-19 pandemic and its concomitant "state of emergency" triggered an accelerated transmutation of customary ageism into emergent racism, spelling a fatal switch to designating the old as bearers of "bare" life unworthy of human living, thus turning old age from a seemingly cultural category to a socially fabricated viral menace of nature. The book tracks down the process through which the "Coronization" of culture legitimized and impelled a further stigmatization of old age beyond mere ageism to sheer racism. Thus, this transmutation, while compromising their autonomy and subjectivity via imposed lockdowns, social isolation, excommunication and selective discrimination rendered the old a race apart. Subsequently, the moral panic invoked by the specter of the pandemic transformed the social perceptions of later life from a containable social problem to an unbridled public hazard that summoned total measures presented as bureaucratically regimented regulations that dehumanized its victims with impunity.
Age-Friendly Ecosystems: Environments for Equitable Aging by Design (SpringerBriefs in Public Health)
by Valerie Chang Greer Linda S. EdelmanThis compact book examines age friendliness within the framework of age-friendly ecosystems, and from a place-based approach, considering anchor institutions of neighborhoods, campuses and health environments as sites uniquely positioned to catalyze age equity and inclusivity. Age friendliness has grown from an idea into a social movement that recognizes the diversity of older adults, and integrates research, policy, programming and design practices. Compounding pressures of rapid aging, systemic ageism, and a growing disparity of resources compel us to rethink how we achieve equity in aging through the design of places and practices. Content for this book draws from a 2022 symposium, Age Friendly Communities as Platforms for Equity, Health & Wellness. Contributors build upon the content shared through the symposium in order to examine how neighborhoods, campuses and health environments are uniquely poised to support equity and to extend reach to historically marginalized populations of older adults. Ideas and experiences from national experts in aging, as well as "real world" experiences and narratives shared by older adults, students, community stakeholders and faculty researchers, are presented through a place-based approach. Collectively the voices in this book create a lens for empowering age-friendly ecosystems as environments for equitable aging by design. Among the topics covered: Creating an Age-Friendly Environment Across the Ecosystem Age Friendliness as a Framework for Equity in Aging Age-Friendly Voices in the Pursuit of an Age-Friendly Ecosystem Age-Friendly Futures: Equity by Design Age-Friendly Ecosystems: Environments for Equitable Aging by Design is written for people who are interested in understanding how the age-friendly movement is transforming places we live – community planners, designers, policy makers, aging service providers, academics and citizen activists. This compact volume presents a case of need for age friendliness in places we live, learn and care for our health. Readers with interests in the professional practice areas of aging studies/gerontology, architecture and planning, colleges and universities, community/neighborhood development, health systems, research, and policy will benefit from this brief that examines neighborhoods, campuses, and health environments from interdisciplinary perspectives.
Age-Period-Cohort Analysis: New Models, Methods, and Empirical Applications
by Yang Yang Kenneth C. LandThis book explores the ways in which statistical models, methods, and research designs can be used to open new possibilities for APC analysis. Within a single, consistent HAPC-GLMM statistical modeling framework, the authors synthesize APC models and methods for three research designs: age-by-time period tables of population rates or proportions, repeated cross-section sample surveys, and accelerated longitudinal panel studies. They show how the empirical application of the models to various problems leads to many fascinating findings on how outcome variables develop along the age, period, and cohort dimensions.
Age-Period-Cohort Models: Approaches and Analyses with Aggregate Data (Chapman & Hall/CRC Statistics in the Social and Behavioral Sciences)
by Robert O'BrienThis book presents an introduction to the problems and strategies for modeling age, period, and cohort (APC) effects for aggregate-level data. These strategies include constrained estimation, the use of age and/or period and/or cohort characteristics, estimable functions, variance decomposition, and a new technique called the s-constraint approach. Emphasizing both the geometry and algebra of several APC approaches, the book develops readers' understanding of the statistical issues of APC analysis and shows how common methods are related to each other.
Age-Structured Population Dynamics in Demography and Epidemiology
by Hisashi InabaThis book is the first one in which basic demographic models are rigorously formulated by using modern age-structured population dynamics, extended to study real-world population problems. Age structure is a crucial factor in understanding population phenomena, and the essential ideas in demography and epidemiology cannot be understood without mathematical formulation; therefore, this book gives readers a robust mathematical introduction to human population studies. In the first part of the volume, classical demographic models such as the stable population model and its linear extensions, density-dependent nonlinear models, and pair-formation models are formulated by the McKendrick partial differential equation and are analyzed from a dynamical system point of view. In the second part, mathematical models for infectious diseases spreading at the population level are examined by using nonlinear differential equations and a renewal equation. Since an epidemic can be seen as a nonlinear renewal process of an infected population, this book will provide a natural unification point of view for demography and epidemiology. The well-known epidemic threshold principle is formulated by the basic reproduction number, which is also a most important key index in demography. The author develops a universal theory of the basic reproduction number in heterogeneous environments. By introducing the host age structure, epidemic models are developed into more realistic demographic formulations, which are essentially needed to attack urgent epidemiological control problems in the real world.
Ageing and Globalisation (Ageing in a Global Context)
by Martin Hyde Paul HiggsPopulation ageing and globalisation represent two of the most radical social transformations that have occurred. This book provides, for the first time, an accessible overview of how they interact. Ageing has been conventionally framed within the boundaries of nation states, yet demographic changes, transmigration, financial globalization and the global media have rendered this perspective problematic. This much-needed book is the first to apply theories of globalisation to gerontology, including Appadurai’s theory, allowing readers to understand the implications of growing older in a global age. This comprehensive introduction to globalisation for gerontologists is part of the Ageing in a Global Context series, published in association with the British Society of Gerontology. It will be of particular interest to advanced undergraduate and postgraduate students and academics in this area.
Ageing and Migration in a Global Context: Challenges for Welfare States (Life Course Research and Social Policies #13)
by Chris Phillipson Marion Repetti Toni CalasantiThis book brings together two major trends influencing economic and social life: population ageing on the one side, and migration on the other. Both have assumed increasing importance over the course of the 20th and into the 21st century. The book offers a unique interdisciplinary perspective on the challenges posed by the globalisation of the life course to welfare states’ old age and family policies. Through a variety of case studies, it covers a wide range of migration scenarios: those who migrate in later life; migrants from earlier years who age in place; and old people who hire migrant caregivers. It shows how both local and global economic inequalities intersect to frame interactions between ageing, migration, and family support. Across a wide variety of situations, it highlights that migration can both create risks for older people, but also serve as an answer to ageing-related social, economic, and health risks. The book explores tensions between national and global contexts in experiences of migration across the life course. As such this book offers a fascinating read to scholars, students, practitioners, and policy makers in the fields of aging, migration, life course, and population health.
Ageing as Future: A Study by the Volkswagen Foundation
by Stephan Lessenich Frieder R. Lang Klaus RothermundContemporary societies are aging – but what does that mean? Is this something bad? And can societies age as a whole? By bringing together psychological, gerontological, and sociological findings, this open access book opens up a hitherto unique, multifaceted, and realistic view of the phenomenon of old age and the process of aging. The volume is based on the results of the project “Ageing as Future”, a long-term project network (2007-2021) involving a total of more than 30 scientists worldwide. The focus of the project was threefold: A first issue was concerned with how views on aging influence development in old age; secondly, the project analyzed determinants and consequences of provision for old age; and thirdly, it investigated the different ways in which aging is shaped by managing time in old age. For more than a decade, the authors conducted quantitative and qualitative studies, involving large samples from three different continents. The results show that one-sided views of old age – whether negative stereotypes or positive exaggerations – do not do justice to the complexity of the experience of aging. Based on these results, the authors plead for individual and societal acceptance of the social fact of aging – and for the right to live an autonomous and dignified life in old age just as in other phases of life. Ageing as Future: A study by the Volkswagen Foundation presents findings from a unique large international study that are of interest to aging researchers around the world: academically, socio-politically, practically, and personally. Whether old or young, the book encourages one to question one's own views of aging. When reading this book, it becomes obvious that old age is a highly diverse experience, depending on a host of societal and individual factors.
Ageing in Advanced Industrial States: Riding the Age Waves - Volume 3 (International Studies in Population #8)
by Naohiro Ogawa Anne H. Gauthier Shripad TuljapurkarPopulation growth slowed across the world in the last decades of the 20th century, changing substantially our view of the future. The 21st century is likely to see the end to world population growth and become the century of population aging, marked by low fertility and ever-increasing life expectancy. These trends have prompted many to predict a gloomy future caused by an unprecedented economic burden of population aging. In response, industrialized nations will need to implement effective social and economic policies and programs. This is the final volume in a series of three. The papers included explore many examples and strengthen the basis for effective economic and social policies by investigating the economic, social, and demographic consequences of the transformations in the structures of population and family. These consequences include changes in economic behavior, both in labor and financial markets, and with regard to saving and consumption, and intergenerational transfers of money and care.