This book examines the exciting interface between differential geometry and continuum mechanics, now recognised as being of increasing technological significance. Topics discussed include isometric embeddings in differential geometry and the relation with microstructure in nonlinear elasticity, the use of manifolds in the description of microstructure in continuum mechanics, experimental measur…
This is a textbook on differential geometry well-suited to a variety of courses on this topic. For readers seeking an elementary text, the prerequisites are minimal and include plenty of examples and intermediate steps within proofs, while providing an invitation to more excursive applications and advanced topics. For readers bound for graduate school in math or physics, this is a clear, concis…
This book presents recent progress in the application of RANS turbulence models based on the Reynolds stress transport equations. A variety of models has been implemented by different groups into different flow solvers and applied to external as well as to turbomachinery flows. Comparisons between the models allow an assessment of their performance in different flow conditions. The results demo…
This book presents a systematic and comprehensive account of the theory of differentiable manifolds and provides the necessary background for the use of fundamental differential topology tools.
Aimed at the community of mathematicians working on ordinary and partial differential equations, difference equations, and functional equations, this book contains selected papers based on the presentations at the International Conference on Differential and Difference Equations and Applications (ICDDEA) 2015, dedicated to the memory of Professor Georg Sell. Contributions include new trends in …
This richly illustrated book is intended as a gold standard for the refractive surgeon. It complements the authors? successful previous book, Management of Complications in Refractive Surgery, by providing detailed practical information on the management of specific cases. Worldwide leaders in the field document a wide range of challenging cases drawn from their own clinical practice. These cas…
In the last 15 years, fertility treatment has become mainstream medical practice. With this evolution has come a change in focus from effectiveness (‘success rates’) to safety, patient acceptability and ethical questions. It is recognized that effectiveness also depends crucially on safety and good risk management. The purpose of this book is to address this wider change in focus. …
This book describes the techniques, strategies, and drugs that have been demonstrated by multicenter randomized trials to influence survival in critically ill patients, defined as those who have acute failure of at least one organ, due to either a pathological condition or a medical intervention, and require intensive care treatment. Each chapter focuses on a specific procedure, device, or drug…
This book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equations (PDEs) arising from engineering and applied sciences, such as PDEs depending on several parameters and PDE-constrained optimization. The book presents a general mathematical formulation of RB methods, analyzes their fundamental theoretical prop…
This essential volume comprehensively discusses redox-active therapeutics, focusing particularly on their molecular design, mechanistic, pharmacological and medicinal aspects. The first section of the book describes the basic aspects of the chemistry and biology of redox-active drugs and includes a brief overview of the redox-based pathways involved in cancer and the medical aspects of redox-a…