Defense forces have always invested a great deal of their resources in training. In recent times, changes in the complexity and intensity of operations have reaffirmed the importance of ensuring that warfighters are adequately prepared for the environments in which they are required to work. The emergence of new operational drivers such as asymmetric threats, urban operations, joint and coalition operations and the widespread use of military communications and information technology networks has highlighted the importance of providing warfighters with the competencies required to act in a coordinated, adaptable fashion, and to make effective decisions in environments characterized by large amounts of sometimes ambiguous information. While investment in new technologies can make available new opportunities for action, it is only through effective training that personnel can be made ready to apply their tools in the most decisive and discriminating fashion. There are many factors which can have an impact on the efficacy of training and many issues to consider when designing and implementing training strategies. These issues are often complex and nuanced, and in order to grasp them fully a significant investment of time and energy is required. However, the requirement to respond quickly to ever-changing technology, a high operational tempo and minimal staffing may preclude many in today's defense forces from seeking out all such resources on their own. This edited collection provides brief, easy-to-understand summaries of the key issues in defense training and simulation, as well as guidance for further reading. It consists of a collection of short essays, each of which addresses a fundamental issue in defense training and simulation, and features an up-to-date reference list to enable the reader to undertake further investigation of the issues addressed. In essence, this book provides the optimum starting point, or first resource, for readers to come to terms with the important issues associated with defense training and simulation. The contributions are written by leading scholars from military research institutions in the US, UK, Canada, Australia and New Zealand, as well as selected researchers from academic and private sector research institutions.

Defense forces have always invested a great deal of their resources in training. In recent times, changes in the complexity and intensity of operations have reaffirmed the importance of ensuring that warfighters are adequately prepared for the environments in which they are required to work. The emergence of new operational drivers such as asymmetric threats, urban operations, joint and coalition operations and the widespread use of military communications and information technology networks has highlighted the importance of providing warfighters with the competencies required to act in a coordinated, adaptable fashion, and to make effective decisions in environments characterized by large amounts of sometimes ambiguous information. While investment in new technologies can make available new opportunities for action, it is only through effective training that personnel can be made ready to apply their tools in the most decisive and discriminating fashion. There are many factors which can have an impact on the efficacy of training and many issues to consider when designing and implementing training strategies. These issues are often complex and nuanced, and in order to grasp them fully a significant investment of time and energy is required. However, the requirement to respond quickly to ever-changing technology, a high operational tempo and minimal staffing may preclude many in today's defense forces from seeking out all such resources on their own. This edited collection provides brief, easy-to-understand summaries of the key issues in defense training and simulation, as well as guidance for further reading. It consists of a collection of short essays, each of which addresses a fundamental issue in defense training and simulation, and features an up-to-date reference list to enable the reader to undertake further investigation of the issues addressed. In essence, this book provides the optimum starting point, or first resource, for readers to come to terms with the important issues associated with defense training and simulation. The contributions are written by leading scholars from military research institutions in the US, UK, Canada, Australia and New Zealand, as well as selected researchers from academic and private sector research institutions.

Many geometrical features of manifolds and fibre bundles modelled on Frechet spaces either cannot be defined or are difficult to handle directly. This is due to the inherent deficiencies of Frechet spaces; for example, the lack of a general solvability theory for differential equations, the non-existence of a reasonable Lie group structure on the general linear group of a Frechet space, and the non-existence of an exponential map in a Frechet-Lie group. In this book, the authors describe in detail a new approach that overcomes many of these limitations by using projective limits of geometrical objects modelled on Banach spaces. It will appeal to researchers and graduate students from a variety of backgrounds with an interest in infinite-dimensional geometry. The book concludes with an appendix outlining potential applications and motivating future research.