Scale is a word which underlies much of architectural and urban design practice, its history and theory, and its technology. Its connotations have traditionally been linked with the humanities, in the sense of relating to human societies and to human form. ‘To build in scale’ is an aspiration that is usually taken for granted by most of those involved in architectural production, as well as by members of the public; yet in a world where value systems of all kinds are being questioned, the term has come under renewed scrutiny. The older, more particular, meanings in the humanities, pertaining to classical Western culture, are where the sense of scale often resides in cultural production. Scale may be traced back, ultimately, to the discovery of musical harmonies, and in the arithmetic proportional relationship of the building to its parts. One might question the continued relevance of this understanding of scale in the global world of today. What, in other words, is culturally specific about scale? And what does scale mean in a world where an intuitive, visual understanding is often undermined or superseded by other senses, or by hyper-reality? Structured thematically in three parts, this book addresses various issues of scale. The book includes an introduction which sets the scene in terms of current architectural discourse and also contains a visual essay in each section. It is of interest to undergraduate and postgraduate students, academics and practitioners in architecture and architectural theory as well as to students in a range of other disciplines including art history and theory, geography, anthropology and landscape architecture.

Departing from the premise that ‘being ordinary’ is brought into the discourse and brought out in the discourse and is thus an interactional achievement, the contributions to this edited volume investigate its construction, reconstruction and deconstruction in media discourse. Ordinariness is perceived as a scalar notion which is conceptualised against the background of both non-ordinariness and extra-ordinariness. The chapters address its strategic construction across media genres (public talk, Prime Minister’s Questions, interview, radio call-in, commenting) and discursive activities (tweets, social media posts) as done in various languages (American English, Austrian German, British English, Chinese, French, Finnish, Hebrew and Japanese) by professional participants (e.g., politicians, journalists, scientists) and by ordinary people participating in media discourse (e.g., ordinary citizens, viewers, members of the audience). Discursive strategies used to bring about (non/extra) ordinariness include small stories, quotations, conversational style, irony, naming and addressing as well as references to the private-public interface.

The idea of mirror symmetry originated in physics, but in recent years, the field of mirror symmetry has exploded onto the mathematical scene. It has inspired many new developments in algebraic and arithmetic geometry, toric geometry, the theory of Riemann surfaces, and infinite-dimensional Lie algebras among others. The developments in physics stimulated the interest of mathematicians in Calabi-Yau varieties. This led to the realization that the time is ripe for mathematicians, armed with many concrete examples and alerted by the mirror symmetry phenomenon, to focus on Calabi-Yau varieties and to test for these special varieties some of the great outstanding conjectures, e.g., the modularity conjecture for Calabi-Yau threefolds defined over the rationals, the Bloch-Beilinson conjectures, regulator maps of higher algebraic cycles, Picard-Fuchs differential equations, GKZ hypergeometric systems, and others. The articles in this volume report on current developments. The papers are divided roughly into two categories: geometric methods and arithmetic methods. One of the significant outcomes of the workshop is that we are finally beginning to understand the mirror symmetry phenomenon from the arithmetic point of view, namely, in terms of zeta-functions and L-series of mirror pairs of Calabi-Yau threefolds. The book is suitable for researchers interested in mirror symmetry and string theory.

Ordinary Differential Equations is an outgrowth of courses taught for a number of years at Iowa State University in the mathematics and the electrical engineering departments. It is intended as a text for a first graduate course in differential equations for students in mathematics, engineering, and the sciences. Although differential equations is an old, traditional, and well-established subject, the diverse backgrounds and interests of the students in a typical modern-day course cause problems in the selection and method of presentation of material. In order to compensate for this diversity, prerequisites have been kept to a minimum and the material is covered in such a way as to be appealing to a wide audience. The book contains eight chapters and begins with an introduction the subject and a discussion of some important examples of differential equations that arise in science and engineering. Separate chapters follow on the fundamental theory of linear and nonlinear differential equations; linear boundary value problems; Lyapunov stability theory; and perturbations of linear systems. Subsequent chapters deal with the Poincare-Bendixson theory and with two-dimensional van der Pol type equations; and periodic solutions of general order systems.

Space has emerged in recent years as a radical category in a range of related disciplines across the humanities. Of the many possible applications of this new interest, some of the most exciting and challenging have addressed the issue of domestic architecture and its function as a space for both the dramatisation and the negotiation of a cluster of highly salient issues concerning, amongst other things, belonging and exclusion, fear and desire, identity and difference. Our House is a cross-disciplinary collection of essays taking as its focus both the prospect and the possibility of ‘the house’. This latter term is taken in its broadest possible resonance, encompassing everything from the great houses so beloved of nineteenth-century English novelists to the caravans and mobile homes of the latterday travelling community, and all points in between. The essays are written by a combination of established and emerging scholars, working in a variety of scholarly disciplines, including literary criticism, sociology, cultural studies, history, popular music, and architecture. No specific school or theory predominates, although the work of two key figures – Gaston Bachelard and Martin Heidegger – is engaged throughout. This collection engages with a number of key issues raised by the increasingly troubled relationship between the cultural (built) and natural environments in the contemporary world.

Sculpture examines the philosophy, history and material technology of sculpture within the frame of a travel narrative from Canada to New York and across Europe.