Mapping the Limits of Space surveys English artist Dan Holdsworth's 20-year career. Since 1996 Holdsworth has explored the "extreme" territories that characterise humans' changing relationship to the 'natural' world in the Anthropocene. The volume also reveals Holdsworth's (*1974) most recent body of work. Since 2012 the artist has worked with academic geologists to map the exact contours of Alpine glaciers, using drones, lasers, photography, and high-end software used by the military and academy. We encounter millions of points in space, each millimetre-perfect, that plot the outline of a changing landscape. Produced in collaboration with the Northern Gallery for Contemporary Art, the publication offers new insights into Holdsworth's innovative practice.Exhibition: 16.12.2017-17.3.2018, Graves Gallery, Sheffield, 1.6.-30.8.2018 Northern Gallery for Contemporary Art, Sunderland

From the reviews: "The material is self-contained, but it is technical and a solid foundation in probability and queuing theory is beneficial to prospective readers. [... It] is intended to be accessible to those with less background. This book is a must to researchers and graduate students interested in these areas." ISI Short Book Reviews

This book argues for a theory of mobile mapping, a situated and spatial approach towards researching how everyday digital mobile media practices are bound up in global systems of knowledge and power. Drawing from literature in media studies and geography -- and the work of Michel Foucault and Doreen Massey -- it examines how geographical and historical material, social, and cultural conditions are embedded in the way in which contemporary (digital) cartographies are read, deployed, and engaged. This is explored through seventeen walking interviews in Hong Kong and Sydney, as potent discourses like cartographic reason continue to transform and weave through the world in ways that haunt mobile mapping and bring old conflicts into new media. In doing so, Mobile Mapping offers an interdisciplinary rethinking about how multiple translations of spatial knowledges between rational digital epistemologies and tacit ways of understanding space and experience might be conceptualized and researched.

Inverse limits provide a powerful tool for constructing complicated spaces from simple ones. They also turn the study of a dynamical system consisting of a space and a self-map into a study of a (likely more complicated) space and a self-homeomorphism. In four chapters along with an appendix containing background material the authors develop the theory of inverse limits. The book begins with an introduction through inverse limits on [0,1] before moving to a general treatment of the subject. Special topics in continuum theory complete the book. Although it is not a book on dynamics, the influence of dynamics can be seen throughout; for instance, it includes studies of inverse limits with maps from families of maps that are of interest to dynamicists such as the logistic and the tent families. This book will serve as a useful reference to graduate students and researchers in continuum theory and dynamical systems. Researchers working in applied areas who are discovering inverse limits in their work will also benefit from this book.

A New York Times Bestseller “Maps allow the armchair traveler to roam the world, the diplomat to argue his points, the ruler to administer his country, the warrior to plan his campaigns and the propagandist to boost his cause… rich and beautiful.” – Wall Street Journal Throughout history, maps have been fundamental in shaping our view of the world, and our place in it. But far from being purely scientific objects, maps of the world are unavoidably ideological and subjective, intimately bound up with the systems of power and authority of particular times and places. Mapmakers do not simply represent the world, they construct it out of the ideas of their age. In this scintillating book, Jerry Brotton examines the significance of 12 maps - from the almost mystical representations of ancient history to the satellite-derived imagery of today. He vividly recreates the environments and circumstances in which each of the maps was made, showing how each conveys a highly individual view of the world. Brotton shows how each of his maps both influenced and reflected contemporary events and how, by considering it in all its nuances and omissions, we can better understand the world that produced it. Although the way we map our surroundings is more precise than ever before, Brotton argues that maps today are no more definitive or objective than they have ever been. Readers of this beautifully illustrated and masterfully argued book will never look at a map in quite the same way again. “A fascinating and panoramic new history of the cartographer’s art.” – The Guardian “The intellectual background to these images is conveyed with beguiling erudition…. There is nothing more subversive than a map.” – The Spectator “A mesmerizing and beautifully illustrated book.” —The Telegraph

Space, place and territory are concepts that lie at the core of geography and urban planning, environmental studies and sociology. Although space, place and territory are indeed polysemic and polemic, they have particular characteristics that distinguish them from each other. They are interdependent but not interchangeable, and the differences between them explain how we simultaneously perceive, conceive and design multiple spatialities. After drawing the conceptual framework of space, place and territory, the book initially explores how we sense space in the most visceral ways, and how the overlay of meanings attached to the sensorial characteristics of space change the way we perceive it – smell, spatial experiences using electroence phalography, and the changing meaning of darkness are discussed. The book continues exploring cartographic mapping not as a final outcome, but rather as an epistemological tool, an instrument of inquiry. It follows on how particular ideas of space, place and territory are embedded in specific urban proposals, from Brasília to the Berlin Wall, airports and infiltration of digital technologies in our daily life. The book concludes by focusing on spatial practices that challenge the status quo of how we perceive and understand urban spaces, from famous artists to anonymous interventions by traceurs and hackers of urban technologies. Combining space, place and territory as distinctive but interdependent concepts into an epistemological matrix may help us to understand contemporary phenomena and live them critically.

Drawn from the 24th International Workshop on Condensed Matter Theories (Buenes Aires, Sep. 2000) these 45 papers, while centered on the concepts and techniques of condensed-matter physics, also address broad issues of common concern for theorists who apply advanced many-particle methods in other areas of physics. Five primary topics are covered by the contributions: quantum liquids, boson condensates, strongly-correlated electron systems, superconductivity and superfluidity, and phase transitions. Some of examples of specific questions addressed include shot noise of mesoscopic quantum systems, heat transport in superlattices, transitions from non-colinear to conlinear structures in a magnetic multilayer model, order-disorder transitions in a vortex lattice, perturbation theory in the one-phase region of an electron-ion system, and nonlinear dynamics in metal clusters. c. Book News Inc.

The book consists of XI Parts and 28 Chapters covering all areas of mathematics. It is a tool for students, scientists, engineers, students of many disciplines, teachers, professionals, writers and also for a general reader with an interest in mathematics and in science. It provides a wide range of mathematical concepts, definitions, propositions, theorems, proofs, examples, and numerous illustrations. The difficulty level can vary depending on chapters, and sustained attention will be required for some. The structure and list of Parts are quite classical: I. Foundations of Mathematics, II. Algebra, III. Number Theory, IV. Geometry, V. Analytic Geometry, VI. Topology, VII .Algebraic Topology, VIII. Analysis, IX. Category Theory, X. Probability and Statistics, XI. Applied Mathematics. Appendices provide useful lists of symbols and tables for ready reference. The publisher’s hope is that this book, slightly revised and in a convenient format, will serve the needs of readers, be it for study, teaching, exploration, work, or research.

In this thesis, we will analyze an approach to describe the rotational behaviour of dynamical systems and control systems, namely the concept of rotational factor maps. The general idea is to find a complex-valued map F on the state space that maps the dynamics onto a rotation around the origin in the complex plane. We will call such a map a rotational factor map. More formally, these rotational factor maps are eigenfunctions of the Koopman operator. This concept of rotational factor maps is closely connected to harmonic limits, which are ergodic sums (for discrete-time systems) or integrals (for systems in continuous time). It turns out that the existence of rotational factor maps is equivalent to the existence of non-zero harmonic limits. So we use harmonic limits to analyse the spectral properties of dynamical systems given by the iteration of a map, by a semi-flow or by a control system.