Henri Lefebvre and the Theory of the Production of Space

Henri Lefebvre and the Theory of the Production of Space

Author: Christian Schmid

Publisher: Verso Books

Published: 2022-11-29

Total Pages: 552

ISBN-13: 1786637014

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Shortlisted for the Deutscher Memorial Prize 2023 This book presents an encompassing, detailed and thorough overview and reconstruction of Lefebvre's theory of space and of the urban. Henri Lefebvre belongs to the generation of the great French intellectuals and philosophers, together with his contemporaries Michel Foucault and Jean-Paul Sartre. His theory has experienced a remarkable revival over the last two decades, and is discussed and applied today in many disciplines in humanities and social sciences, particularly in urban studies, geography, urban sociology, urban anthropology, architecture and planning. Lefebvre, together with David Harvey, is one of the leading and most read theoreticians in these fields. This book explains in an accessible way the theoretical and epistemological context of this work in French philosophy and in the German dialectic (Hegel, Marx, and Nietzsche), and reconstructs in detail the historical development of its different elements. It also gives an overview on the receptions of Lefebvre and discusses a wide range of applications of this theory in many research fields, such as urban and regional development, urbanization, urbanity, social space, and everyday life.


Space and Social Theory

Space and Social Theory

Author: Andrzej J L Zieleniec

Publisher: SAGE

Published: 2007-10-29

Total Pages: 225

ISBN-13: 1848606125

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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.


Applications of Point Set Theory in Real Analysis

Applications of Point Set Theory in Real Analysis

Author: A.B. Kharazishvili

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 248

ISBN-13: 9401707502

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This book is devoted to some results from the classical Point Set Theory and their applications to certain problems in mathematical analysis of the real line. Notice that various topics from this theory are presented in several books and surveys. From among the most important works devoted to Point Set Theory, let us first of all mention the excellent book by Oxtoby [83] in which a deep analogy between measure and category is discussed in detail. Further, an interesting general approach to problems concerning measure and category is developed in the well-known monograph by Morgan [79] where a fundamental concept of a category base is introduced and investigated. We also wish to mention that the monograph by Cichon, W«;glorz and the author [19] has recently been published. In that book, certain classes of subsets of the real line are studied and various cardinal valued functions (characteristics) closely connected with those classes are investigated. Obviously, the IT-ideal of all Lebesgue measure zero subsets of the real line and the IT-ideal of all first category subsets of the same line are extensively studied in [19], and several relatively new results concerning this topic are presented. Finally, it is reasonable to notice here that some special sets of points, the so-called singular spaces, are considered in the classi


A Primer on Hilbert Space Theory

A Primer on Hilbert Space Theory

Author: Carlo Alabiso

Publisher: Springer Nature

Published: 2021-03-03

Total Pages: 343

ISBN-13: 3030674177

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This book offers an essential introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for providing an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, lies in the strenuous mathematics demands that even the simplest physical cases entail. Graduate courses in physics rarely offer enough time to cover the theory of Hilbert space and operators, as well as distribution theory, with sufficient mathematical rigor. Accordingly, compromises must be found between full rigor and the practical use of the instruments. Based on one of the authors’s lectures on functional analysis for graduate students in physics, the book will equip readers to approach Hilbert space and, subsequently, rigged Hilbert space, with a more practical attitude. It also includes a brief introduction to topological groups, and to other mathematical structures akin to Hilbert space. Exercises and solved problems accompany the main text, offering readers opportunities to deepen their understanding. The topics and their presentation have been chosen with the goal of quickly, yet rigorously and effectively, preparing readers for the intricacies of Hilbert space. Consequently, some topics, e.g., the Lebesgue integral, are treated in a somewhat unorthodox manner. The book is ideally suited for use in upper undergraduate and lower graduate courses, both in Physics and in Mathematics.


An Introduction to Banach Space Theory

An Introduction to Banach Space Theory

Author: Robert E. Megginson

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 613

ISBN-13: 1461206030

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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

Space, the City and Social Theory

Author: Fran Tonkiss

Publisher: Polity

Published: 2005

Total Pages: 176

ISBN-13: 0745628257

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Taking a thematic approach, this book covers the main aspects of modern urban life taught on undergraduate courses. The key approaches to the city within contemporary social theory are assessed. Tonkiss adopts an international perspective, with examples drawn from places such as New York, Paris and Sydney.


Three Dimensional Space-Time Analysis Theory of Geotechnical Seismic Engineering

Three Dimensional Space-Time Analysis Theory of Geotechnical Seismic Engineering

Author: Changwei Yang

Publisher: Springer Nature

Published: 2019-11-30

Total Pages: 371

ISBN-13: 9811333564

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Written by respected experts, this book presents essential findings on the Wenchuan earthquake. It establishes a series of time–frequency analysis methods, and subsequently applies them to the layered site, slope, and earth-retaining wall. Further, it examines various cases and their solutions, and shares the results of numerous shaking-table tests and numerical simulations. As such, it is a valuable resource for researchers and engineers in the fields of geotechnical engineering and anti-seismic engineering.


Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis

Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis

Author: Hugh L. Montgomery

Publisher: American Mathematical Soc.

Published: 1994

Total Pages: 242

ISBN-13: 0821807374

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This volume contains lectures presented by Hugh L. Montgomery at the NSF-CBMS Regional Conference held at Kansas State University in May 1990. The book focuses on important topics in analytic number theory that involve ideas from harmonic analysis. One particularly valuable aspect of the book is that it collects material that was either unpublished or that had appeared only in the research literature. The book should be a useful resource for harmonic analysts interested in moving into research in analytic number theory. In addition, it is suitable as a textbook in an advanced graduate topics course in number theory.