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This textbook arises from a master’s course taught by the author at the University of Coimbra. It takes the reader from the very classical Galois theorem for fields to its generalization to the case of rings. Given a finite-dimensional Galois extension of fields, the classical bijection between the intermediate field extensions and the subgroups of the corresponding Galois group was extended by Grothendieck as an equivalence between finite-dimensional split algebras and finite sets on which the Galois group acts. Adding further profinite topologies on the Galois group and the sets on which it acts, these two theorems become valid in arbitrary dimension. Taking advantage of the power of cat...
For the fourth consecutive year, the Association of Geographic Infor- tion Laboratories for Europe (AGILE) promoted the edition of a book with the collection of the scientific papers that were submitted as full-papers to the AGILE annual international conference. Those papers went through a th competitive review process. The 13 AGILE conference call for fu- papers of original and unpublished fundamental scientific research resulted in 54 submissions, of which 21 were accepted for publication in this - lume (acceptance rate of 39%). Published in the Springer Lecture Notes in Geoinformation and Car- th graphy, this book is associated to the 13 AGILE Conference on G- graphic Information Science...
A significant body of theoretical and empirical studies describes 'sense of place' as an outcome of interconnected psychological, social and environmental processes in relation to physical place(s). Sense of place has been examined, particularly in human geography, in terms of both the character intrinsic to a place as a localized, bounded and material entity, and the sentiments of attachment/detachment that humans experience and express in relation to specific places. Scholars in a wide range of disciplines are increasingly exploring the relationship between place and health, and recently, the field of public health has been encouraged to recognize sense of place as a potential contributing factor to well-being. It is evident that over the last few decades, sense of place has developed into a versatile construct. This important book brings together work related to sense of place and health, broadly defined, from the perspective of a variety of fields and disciplines. It will give the reader an understanding of both the range of applications of this construct within approaches to human health as well as the breadth of research methodologies employed in its investigation.
Even before the arrival of Europeans to the Americas, the practice of taking captives was widespread among Native Americans. Indians took captives for many reasons: to replace--by adoption--tribal members who had been lost in battle, to use as barter for needed material goods, to use as slaves, or to use for reproductive purposes. From the legendary story of John Smith's captivity in the Virginia Colony to the wildly successful narratives of New England colonists taken captive by local Indians, the genre of the captivity narrative is well known among historians and students of early American literature. Not so for Hispanic America. Fernando Operé redresses this oversight, offering the first...
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This book explores the geography of religion and the space of the sacred in the dynamics of the different manifestations of contemporary Christianity, in the face of the growth of Protestantism. For this, the analysis of the spirituality of Opus Dei is prioritized and the history of the emergence of the Roman doctrine and its dissemination until the present day is detailed. In order to understand the evolution of Western civilization, a sensitive approach to its religious spatiality is necessary. This spatiality manifests itself concretely in its territory, transforming the landscape of the place continuously over time. With this in mind, the book promotes a geographical discussion which identifies the possible causes of the decline of Catholicism in Brazil, as well as analyzing the Catholic Church’s loss of believers and territories.
Surveying the most influential developments in the field, this proceedings reviews the latest research on algebras and their representations, commutative and non-commutative rings, modules, conformal algebras, and torsion theories.The volume collects stimulating discussions from world-renowned names including Tsit-Yuen Lam, Larry Levy, Barbara Osofsky, and Patrick Smith.
This book represents a multidisciplinary and international vision across different countries in Europe that are facing similar challenges about ageing and quality of life in present cities. It is divided in three main topics from the global context of health in cities and reduction of health inequities to the current research of different study cases, focusing on residential models and the relationship with the built environment. The third chapter illustrates best practices with some study cases from different cities in Europe. Friendlier environments for older people come together with the need of innovation, smart and updated technologies, healthier environments and mitigation of climate c...
In this innovative book, ten executive politicians with backgrounds in planning from around the world dissect their own political careers. Reflecting on the often structural impact of their work in political decision-making, they also consider the translation of their experiences back into academic life or professional practice.