Frontiers and borderlands in Imperial perspectives: exploring Rome’s Egyptian frontier

Archaeological research has addressed imperial frontiers for more than a century. Romanists, in particular, have engaged in exploring frontiers from economic, militaristic, political, and (more recently) social vantages. This article suggests that we also consider the dialogue between space and social perception to understand imperial borderland developments. In addition to formulating new theoretical approaches to frontiers, this contribution represents the first comprehensive overview of both the documentary sources and the archaeological material found in Egypt's Great Oasis during the Roman period (ca. 30 B.C.E. to the sixth century C.E.). A holistic analysis of these sources reveals that Egypt's Great Oasis, which consisted of two separate but linked oases, served as a conceptual, physical, and human buffer zone for the Roman empire. This buffer zone protected the "ordered" Nile Valley inhabitants from the "chaotic" desert nomads, who lived just beyond the oases. This conclusion suggests that nomads required specific imperial frontier policies and that these policies may have been ideological as well as economic and militaristic.

The first international workshop on the role and impact of mathematics in medicine: a collective account

The First International Workshop on The Role and Impact of Mathematics in Medicine (RIMM) convened in Paris in June 2010. A broad range of researchers discussed the difficulties, challenges and opportunities faced by those wishing to see mathematical methods contribute to improved medical outcomes. Finding mechanisms for inter- disciplinary meetings, developing a common language, staying focused on the medical problem at hand, deriving realistic mathematical solutions, obtaining

Conjecture, proof, and sense in Wittgenstein's philosophy of mathematics

One of the key tenets in Wittgenstein’s philosophy of mathematics is that a mathematical proposition gets its meaning from its proof. This seems to have the paradoxical consequence that a mathematical conjecture has no meaning, or at least not the same meaning that it will have once a proof has been found. Hence, it would appear that a conjecture can never be proven true: for what is proven true must ipso facto be a different proposition from what was only conjectured. Moreover, it would appear impossible that the same mathematical proposition be proven in different ways. — I will consider some of Wittgenstein’s remarks on these issues, and attempt to reconstruct his position in a way that makes it appear less paradoxical.

Transition of pupils from Key Stage 2 to 3 deemed gifted and talented in mathematics: an initial study

In this article Geoff Tennant and Dave Harries report on the early stages of a research project looking to examine the transition from Key Stage (KS) 2 to 3 of children deemed Gifted and Talented (G&T) in mathematics. An examination of relevant literature points towards variation in definition of key terms and underlying rationale for activities. Preliminary fieldwork points towards a lack of meaningful communication between schools, with primary school teachers in particular left to themselves to decide how to work with children deemed G&T. Some pointers for action are given, along with ideas for future research and a request for colleagues interested in working with us to get in touch.

The Mathematics of Control Theory

This text contains papers presented at the Institute of Mathematics and its Applications Conference on Control Theory, held at the University of Strathclyde in Glasgow. The contributions cover a wide range of topics of current interest to theoreticians and practitioners including algebraic systems theory, nonlinear control systems, adaptive control, robustness issues, infinite dimensional systems, applications studies and connections to mathematical aspects of information theory and data-fusion.

Mathematics as a tool in the Life Sciences

Teaching mathematics to students in the biological sciences is often fraught with difficulty. Students often discover mathematics to be a very 'dry' subject in which it is difficult to see the motivation of learning it given its often abstract application. In this paper I advocate the use of mathematical modelling as a method for engaging students in understanding the use of mathematics in helping to solve problems in the Biological Sciences. The concept of mathematics as a laboratory tool is introduced and the importance of presenting students with relevant, real-world examples of applying mathematics in the Biological Sciences is discussed.

Globalizing Mediterranean identities: the overlapping spheres of Egyptian, Greek and Roman worlds at Trimithis

This article furthers recent gains made in applying globalization perspectives to the Roman world by exploring two Romano-Egyptian houses that used Roman material culture in different ways within the city known as Trimithis (modern day Amheida, in Egypt). In so doing, I suggest that concepts drawn from globalization theory will help us to disentangle and interpret how homogeneous Roman Mediterranean goods may appear heterogeneous on the local level. This theoretical vantage is broadly applicable to other regions in the Roman Mediterranean, as well as other environments in which individuals reflected a multifaceted relationship with their local identity and the broader social milieu.

Mathematics applied to the climate system: outstanding challenges and recent progress

The societal need for reliable climate predictions and a proper assessment of their uncertainties is pressing. Uncertainties arise not only from initial conditions and forcing scenarios, but also from model formulation. Here, we identify and document three broad classes of problems, each representing what we regard to be an outstanding challenge in the area of mathematics applied to the climate system. First, there is the problem of the development and evaluation of simple physically based models of the global climate. Second, there is the problem of the development and evaluation of the components of complex models such as general circulation models. Third, there is the problem of the development and evaluation of appropriate statistical frameworks. We discuss these problems in turn, emphasizing the recent progress made by the papers presented in this Theme Issue. Many pressing challenges in climate science require closer collaboration between climate scientists, mathematicians and statisticians. We hope the papers contained in this Theme Issue will act as inspiration for such collaborations and for setting future research directions.