Space In Theory

Space in Theory: Kristeva, Foucault, Deleuze seeks to give a detailed but succinct overview of the role of spatial reflection in three of the most influential French critical thinkers of recent decades. It proposes a step-by-step analysis of the changing place of space in their theories, focussing on the common problematic all three critics address, but highlighting the significant differences between them. It aims to rectify an unaccountable absence of detailed analysis to the significance of space in their work up until now. Space in Theory argues that Kristeva, Foucault and Deleuze address the question: How are meaning and knowledge produced in contemporary society? What makes it possible to speak and think in ways we take for granted? The answer which all three thinkers provide is: space. This space takes various forms: psychic, subjective space in Kristeva, power-knowledge-space in Foucault, and the spaces of life as multiple flows of becoming in Deleuze. This book alternates between analyses of these thinkers’ theoretical texts, and brief digressions into literary texts by Barrico, de Beauvoir, Beckett, Bodrožić or Bonnefoy, via Borges, Forster, Gide, Gilbert, Glissant, Hall, to Kafka, Ondaatje, Perec, Proust, Sartre, Warner and Woolf. These detours through literature aim to render more concrete and accessible the highly complex conceptulization of contemporary spatial theory. This volume is aimed at students, postgraduates and researchers interested in the areas of French poststructuralist theory, spatial reflection, or more generally contemporary cultural theory and cultural studies.

The importance of the spatial dimension of the structure, organization and experience of social relations is fundamental for sociological analysis and understanding. Space and Social Theory is an essential primer on the theories of space and inherent spatiality, guiding readers through the contributions of key and influential theorists: Marx, Simmel, Lefebvre, Harvey and Foucault. Giving an essential and accessible overview of social theories of space, this books shows why it matters to understand these theorists spatially. It will be of interest to upper level students and researchers of social theory, urban sociology, urban studies, human geography, and urban politics.

An introduction to the theory of operator spaces, emphasising applications to C*-algebras.

The problem of scale pervades both the natural sciences and the vi sual arts. The earliest scientific discussions concentrate on visual per ception (much like today!) and occur in Euclid's (c. 300 B. C. ) Optics and Lucretius' (c. 100-55 B. C. ) On the Nature of the Universe. A very clear account in the spirit of modern "scale-space theory" is presented by Boscovitz (in 1758), with wide ranging applications to mathemat ics, physics and geography. Early applications occur in the cartographic problem of "generalization", the central idea being that a map in order to be useful has to be a "generalized" (coarse grained) representation of the actual terrain (Miller and Voskuil 1964). Broadening the scope asks for progressive summarizing. Very much the same problem occurs in the (realistic) artistic rendering of scenes. Artistic generalization has been analyzed in surprising detail by John Ruskin (in his Modern Painters), who even describes some of the more intricate generic "scale-space sin gularities" in detail: Where the ancients considered only the merging of blobs under blurring, Ruskin discusses the case where a blob splits off another one when the resolution is decreased, a case that has given rise to confusion even in the modern literature.

Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: - Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory - Covers Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal's L1 theorem, fixed points, and more - Includes information about further topics and directions of research and some open problems at the end of each chapter - Provides numerous exercises for practice The text is suitable for graduate courses or for independent study. Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book.

During his lifetime Henri Lefebvre (1901-1991) was renowned in France as a philosopher, sociologist and activist. Although he published more than 70 books, few were available in English until The Production of Space was translated in 1991. While this work - often associated with geography - has influenced educational theory’s ‘spatial turn,’ educationalists have yet to consider Lefebvre’s work more broadly. This book engages in an educational reading of the selection of Lefebvre’s work that is available in English translation. After introducing Lefebvre’s life and works, the book experiments with his concepts and methods in a series of five ‘spatial histories’ of educational theories. In addition to The Production of Space, these studies develop themes from Lefebvre’s other translated works: Rhythmanalysis, The Explosion, the three volumes of Critique of Everyday Life and a range of his writings on cities, Marxism, technology and the bureaucratic state. In the course of these inquiries, Lefebvre’s own passionate interest in education is uncovered: his critiques of bureaucratised schooling and universities, the analytic concepts he devised to study educational phenomena, and his educational methods. Throughout the book Middleton demonstrates how Lefebvre’s conceptual and methodological tools can enhance the understanding of the spatiotemporal location of educational philosophy and theory. Bridging disciplinary divides, it will be key reading for researchers and academics studying the philosophy, sociology and history of education, as well as those working in fields beyond education including geography, history, cultural studies and sociology.

Preparing students for further study of both the classical works and current research, this is an accessible text for students who have had a course in real and complex analysis and understand the basic properties of L p spaces. It is sprinkled liberally with examples, historical notes, citations, and original sources, and over 450 exercises provide practice in the use of the results developed in the text through supplementary examples and counterexamples.

Space, the City and Social Theory offers a clear and critical account of key approaches to cities and urban space within social theory and analysis. It explores the relation of the social and the spatial in the context of critical urban themes: community and anonymity; social difference and spatial divisions; politics and public space; gentrification and urban renewal; gender and sexuality; subjectivity and space; experience and everyday practice in the city. The text adopts an international and interdisciplinary approach, drawing on a range of debates on cities and urban life. It brings together classic perspectives in urban sociology and social theory with the analysis of contemporary urban problems and issues. Rather than viewing the urban simply as a backdrop for more general social processes, the discussion looks at how social and spatial relations shape different versions of the city: as a place of social interaction and of solitude; as a site of difference and segregation; as a space of politics and power; as a landscape of economic and cultural distinction; as a realm of everyday experience and freedom. Similarly, it examines how core social categories - such as class, culture, gender, sexuality and community - are shaped and reproduced in urban contexts. Linking debates in urban studies to wider concerns within social theory and analysis, this accessible text will appeal to undergraduate and postgraduate students in urban sociology, social and cultural geography, urban and cultural studies.

Historical surveys of the concept of space considers Judeo-Christian ideas about space, Newton's concept of absolute space, space from 18th century to the present. Numerous original quotations and bibliographical references. "Admirably compact and swiftly paced style." — Philosophy of Science. Foreword by Albert Einstein.