A New Global Geometry

Scrutinizes possibilities for an equalised global order, in light of recent conflicts between the world’s major powers The “post-Cold War era is definitively over,” asserted US President Joe Biden as he launched the new National Security Strategy, warning in late 2022 that “a competition is underway between the major powers to shape what comes next.” American leadership, the document declared, would be more necessary than ever to define "the future of the international order,” insisting that the US must marshal its unparalleled economic, military, and diplomatic resources to confront its geopolitical rivals. Socialist Register 2024: A New Global Geometry? takes stock of momentous changes on the horizon: Even if these geopolitical shifts do not spell the end of globalization, how might they alter its historical trajectory? While it is it premature to speak of the end of the liberal economic order, let alone the development of a multipolar international system, can we begin to assess the dimensions of a new global geometry? And, how might we assess the potential vulnerabilities of socialist movements worldwide, alongside the potential resistance our movements might manage to present, grounded in our historical demands for a democratic and equalizing world order?

Bridging the gap between modern differential geometry and the mathematical physics of general relativity, this text, in its second edition, includes new and expanded material on topics such as the instability of both geodesic completeness and geodesic incompleteness for general space-times, geodesic connectibility, the generic condition, the sectional curvature function in a neighbourhood of degenerate two-plane, and proof of the Lorentzian Splitting Theorem.;Five or more copies may be ordered by college or university stores at a special student price, available on request.

International environmental threats have commanded widespread attention since the late 1960s. A number of environmental disasters have galvanized public concern, and have reached the international political agenda following the emergence of environmental social movements in the industrialized countries.

Offers an account of contemporary trends in education reform and public sector governance, focusing on the increasing role of business and philanthropy in education service delivery and education policy and the emergence of new forms ofnetwork governance.

Isogeometric analysis (IGA) consists of using the same higher-order and smooth spline functions for the representation of geometry in Computer Aided Design as for the approximation of solution fields in Finite Element Analysis. Now, almost twenty years after its creation, substantial works are being reported in IGA, making it very competitive in scientific computing. This book proposes to use IGA jointly with standard finite element methods (FEM), presenting IGA as a projection of FEM on a more regular reduced basis. By shedding new light on how IGA relates to FEM, we can see how IGA can be implemented on top of an FE code in order to improve the solution of problems that require more regularity. This is illustrated by using IGA with FEM in a non-invasive fashion to perform efficient and robust multiscale global/local simulations in solid mechanics. Furthermore, we show that IGA can regularize the inverse problem of FE digital image correlation in experimental mechanics.