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Symmetries and Integrability of Difference Equations
This volume comprises state-of-the-art articles in discrete integrable systems.
The Painlevé Property
The subject this volume is explicit integration, that is, the analytical as opposed to the numerical solution, of all kinds of nonlinear differential equations (ordinary differential, partial differential, finite difference). Such equations describe many physical phenomena, their analytic solutions (particular solutions, first integral, and so forth) are in many cases preferable to numerical computation, which may be long, costly and, worst, subject to numerical errors. In addition, the analytic approach can provide a global knowledge of the solution, while the numerical approach is always local. Explicit integration is based on the powerful methods based on an in-depth study of singularitie...
Discrete Integrable Geometry and Physics
Recent interactions between the fields of geometry, classical and quantum dynamical systems, and visualization of geometric objects such as curves and surfaces have led to the observation that most concepts of surface theory and of the theory of integrable systems have natural discreteanalogues. These are characterized by the property that the corresponding difference equations are integrable, and has led in turn to some important applications in areas of condensed matter physics and quantum field theory, amongst others. The book combines the efforts of a distinguished team ofauthors from various fields in mathematics and physics in an effort to provide an overview of the subject. The mathematical concepts of discrete geometry and discrete integrable systems are firstly presented as fundamental and valuable theories in themselves. In the following part these concepts areput into the context of classical and quantum dynamics.
Modern Political Science
Since emerging in the late nineteenth century, political science has undergone a radical shift--from constructing grand narratives of national political development to producing empirical studies of individual political phenomena. What caused this change? Modern Political Science--the first authoritative history of Anglophone political science--argues that the field's transformation shouldn't be mistaken for a case of simple progress and increasing scientific precision. On the contrary, the book shows that political science is deeply historically contingent, driven both by its own inherited ideas and by the wider history in which it has developed. Focusing on the United States and the United...
Mathematical Reviews
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Transitions to Sustainable Development
Over the past few decades, there has been a growing concern about the social and environmental risks which have come along with the progress achieved through a variety of mutually intertwined modernization processes. In recent years these concerns are transformed into a widely-shared sense of urgency, partly due to events such as the various pandemics threatening livestock, and increasing awareness of the risks and realities of climate change, and the energy and food crises. This sense of urgency includes an awareness that our entire social system is in need of fundamental transformation. But like the earlier transition between the 1750's and 1890's from a pre-modern to a modern industrial society, this second transition is also a contested one. Sustainable development is only one of many options. This book addresses the issue on how to understand the dynamics and governance of the second transition dynamics in order to ensure sustainable development. It will be necessary reading for students and scholars with an interest in sustainable development and long-term transformative change.
Handbook of Phenomenology and Medicine
Some of the authors who have contributed to this volume are philosophers, some are engaged in other academic disciplines, and several are practicing healthcare professionals. Their essays demonstrate that because phenomenology provides extraordinary insights into many of the issues that are directly addressed within the world of medicine it can be an invaluable practical tool, not only for those who are interested in the philosophy of medicine, but for all healthcare professionals who are actively engaged in the care of the sick.
Algebraic and Geometric Aspects of Integrable Systems and Random Matrices
This volume contains the proceedings of the AMS Special Session on Algebraic and Geometric Aspects of Integrable Systems and Random Matrices, held from January 6-7, 2012, in Boston, MA. The very wide range of topics represented in this volume illustrates
