Grothendieck's duality theory for coherent cohomology is a fundamental tool in algebraic geometry and number theory, in areas ranging from the moduli of curves to the arithmetic theory of modular forms. This book presents an overview of the entire theory, including basic definitions and a study of duality on curves, Grothendieck's residue symbol.

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This volume presents new concepts and methods in Air Traffic Management, in particular: Collaborative Decision Making, as it incorporates for the first time airline companies in the management process; Congestion Pricing, as many part of the systems are and will remain saturated, hence only leveling of demand can contribute to global efficiency; Flow Management Methods, as the most important tools in planning and analysis; Models of Controller-Pilot Interaction, as deregulation increases the workload of this communication; Weather Forecast, as airport capacity is strongly affected by weather...

The integration of the Central and Eastern European transition countries into the European Union is one of the most exciting economic policy issues of today. The book provides a detailed analysis of the economic effects which EU integration has on accession countries. It shows that these countries have already managed to fully remove the anti-trade bias with the EU that existed before the fall of the iron curtain. Benefits from further integration into the EU could result in particular from the fact that full membership in the European Community will increase the credibility of government...

These notes approximately transcribe a 15-week course on symplectic geometry I taught at UC Berkeley in the Fall of 1997. The course at Berkeley was greatly inspired in content and style by Victor Guillemin, whose masterly teaching of beautiful courses on topics related to s- plectic geometry at MIT, I was lucky enough to experience as a graduate student. I am very thankful to him That course also borrowed from the 1997 Park City summer courses on symplectic geometry and topology, and from many talks and discussions of the symplectic geometry group at MIT. Among the regular participants in...

Cognitive science is a multidisciplinary science concerned with understanding and utilizing models of cognition. It has spawned a great dealof research on applications such as expert systems and intelligent tutoring systems, and has interacted closely with psychological research. However, it is generally accepted that it is difficult to apply cognitive-scientific models to medical training and practice. This book is based on a NATO Advanced Research Workshop held in Italy in 1991, the purpose of which was to examine the impact ofmodels of cognition on medical training and practice and to...

One of the central problems synergetics is concerned with consists in the study of macroscopic qualitative changes of systems belonging to various disciplines such as physics, chemistry, or electrical engineering. When such transitions from one state to another take place, fluctuations, i.e., random processes, may play an im- portant role. Over the past decades it has turned out that the Fokker-Planck equation pro- vides a powerful tool with which the effects of fluctuations close to transition points can be adequately treated and that the approaches based on the Fokker- Planck equation are...

This book is on Kolmogorov-Arnol'd-Moser theory for quasi-periodic tori in dynamical systems. It gives an up-to-date report on the role parameters play for persis- tence of such tori, typically occuring on Cantor sets of positive Hausdorff measure inside phase and parameter space. The cases with preservation of symplectic or volume forms or time-reversal symmetries are included. The concepts of Whitney-smoothness and Diophantine approximation of Cantor sets on submanifolds of Euclidean space are treated, as well as Bruno's theory on analytic continuation of tori. Partly this material is new...

One of the principal concerns in recent years regarding the atmospheric environment has been the formation of ozone and other photo-oxidants over much of Europe in the summer. Ozone is formed in the atmosphere by a complex series of chemical reactions in the presence of sunlight from volatile organic compounds and nitrogen oxides. As the reactions take place in air flows determined by the detailed meteorological situation, the measurement, interpretation, understanding and modelling of the levels, fluxes and origins of the ozone are extremely difficult. The present volume reviews several of...

Here is a comprehensive introduction to the least-squares finite element method (LSFEM) for numerical solution of PDEs. It covers the theory for first-order systems, particularly the div-curl and the div-curl-grad system. Then LSFEM is applied systematically to permissible boundary conditions for the incompressible Navier-Stokes equations, to show that the divergence equations in the Maxwell equations are not redundant, and to derive equivalent second-order versions of the Navier-Stokes equations and the Maxwell equations. LSFEM is simple, efficient and robust, and can solve a wide range of...