Regionalism is one of the most debated issues in contemporary western Europe. Yet why the region, rather than the nation state, can have such a strong appeal for the construction of social and political identity remains largely unexplored. Drawing on data collected in the mountainous Trentino region of northern Italy, the author investigates how ideas about village boundaries and private property form the background against which regionalist ideologies are understood. In suggesting that ideas about regionalism largely reflect views about private property, he provides an alternative to theories of nationalism that overlook the articulation between official ideologies and discourses at the local level.

The real, rational, complex and p-adic numbers are discussed in detail in this comprehensive work.

Clear, correct summation of basic results on general behavior of infinite matrices features three introductory chapters leading to applications related to summability of divergent sequences and series. Nearly 200 examples. 1950 edition.

This book makes a compelling case for ‘performance fieldwork’ as a vital new approach to interdisciplinary collaboration. Refocussing the histories and practices of field research, it shows how creative methods and artistic processes can contribute to an embodied and situated knowledge of complex landscapes and environments. The book brings together case studies of innovative research in the fields of ecology, clubbing, heritage, mobility and deep time, which took place in the United Kingdom between 2009 and 2021. These accessible and engaging field notes connect to international and intercultural contexts, with attention to alternative experiences and perspectives throughout. Together, they provide a critically informed ‘toolbox’ of playful and exploratory strategies for working with a diverse range of urban and rural sites – including a river, a museum, a nightclub, a motorway and a cave. This is a timely methodology that reaches across disciplines to demonstrate how performance continually plays out ‘in the field’.

This book undertakes the unusual task of correcting and proposing supplements to the Landau and Lifshitz's highly celebrated textbook titled: The Classical Theory of Fields 1, which has been extraordinarily influential. Its first edition was published in 1939, and new editions in many languages continue to be published. Furthermore, it is still cited in scientific works several hundred times each year. The Classical Electrodynamic Part of Landau and Lifshitz's Textbook The Classical Theory of Fields is rigorously analyzed. The need for corrections is proved. The distinction between bound fields and radiation fields is stipulated. Apparent paradoxes, like the "hidden momentum" concept and the 4/3 factor of the Lorentz transformation of the electromagnetic fields' momentum of a charged particle are explained. Inherent contradictions of of the gauge transformations are proved. In particular, it is proved that the apparent gauge invariance of the QED Lagrangian density does not hold because of its inherent mathematical inconsistencies. This analysis clarifies the long debate concerning the meaning of the electromagnetic 4-potential and its gauge transformations. A regular magnetic monopole theory is outlined, and the systematic failure of the quest for Dirac monopoles is proved.

The work of French sociologist, anthropologist and philosopher Pierre Bourdieu has been influential across a set of cognate disciplines that can be classified as physical culture studies. Concepts such as field, capital, habitus and symbolic violence have been used as theoretical tools by scholars and students looking to understand the nature and purpose of sport, leisure, physical education and human movement within wider society. Pierre Bourdieu and Physical Culture is the first book to focus on the significance of Bourdieu’s work for, and in, physical culture. Bringing together the work of leading and emerging international researchers, it introduces the core concepts in Bourdieu’s thought and work, and presents a series of fascinating demonstrations of the application of his theory to physical culture studies. A concluding section discusses the inherent difficulties of choosing and using theory to understand the world around us. By providing an in-depth and multi-layered example of how theory can be used across the many and varied components of sport, leisure, physical education and human movement, this book should help all serious students and researchers in physical culture to better understand the importance of social theory in their work.

Ethnographic fieldwork is traditionally seen as what distinguishes social and cultural anthropology from the other social sciences. This collection responds to the inte nsifying scrutiny of fieldwork in recent years. It challenges the idea of the necessity for the total immersion of the ethnographer in the field, and for the clear separation of professional and personal areas of activity. The very existence of 'the field' as an entity separate from everyday life is questioned. Fresh perspectives on contemporary fieldwork are provided by diverse case-studies from across North America and Europe. These contributions give a thorough appraisal of what fieldwork is and should be, and an extra dimension is added through fascinating accounts of the personal experiences of anthropologists in the field.