This is the first comprehensive basic monograph on mixed Hodge structures. Starting with a summary of classic Hodge theory from a modern vantage point the book goes on to explain Deligne's mixed Hodge theory. Here proofs are given using cubical schemes rather than simplicial schemes. Next come Hain's and Morgan's results on mixed Hodge structures related to homotopy theory. Steenbrink's approach of the limit mixed Hodge structure is then explained using the language of nearby and vanishing cycle functors bridging the passage to Saito's theory of mixed Hodge modules which is the subject of the last chapter. Since here D-modules are essential, these are briefly introduced in a previous chapter. At various stages applications are given, ranging from the Hodge conjecture to singularities. The book ends with three large appendices, each one in itself a resourceful summary of tools and results not easily found in one place in the existing literature (homological algebra, algebraic and differential topology, stratified spaces and singularities). The book is intended for advanced graduate students, researchers in complex algebraic geometry as well as interested researchers in nearby fields (algebraic geometry, mathematical physics

The text of this book has its origins more than twenty- ve years ago. In the seminar of the Dutch Singularity Theory project in 1982 and 1983, the second-named author gave a series of lectures on Mixed Hodge Structures and Singularities, accompanied by a set of hand-written notes. The publication of these notes was prevented by a revolution in the subject due to Morihiko Saito: the introduction of the theory of Mixed Hodge Modules around 1985. Understanding this theory was at the same time of great importance and very hard, due to the fact that it uni es many di erent theories which are quite complicated themselves: algebraic D-modules and perverse sheaves. The present book intends to provide a comprehensive text about Mixed Hodge Theory with a view towards Mixed Hodge Modules. The approach to Hodge theory for singular spaces is due to Navarro and his collaborators, whose results provide stronger vanishing results than Deligne s original theory. Navarro and Guill en also lled a gap in the proof that the weight ltration on the nearby cohomology is the right one. In that sense the present book corrects and completes the second-named author s thesis."

As functional imaging continues to become increasingly important to everyday clinical practice, clinicians need to know more about the quantitative aspects of physiology and pathophysiology. In straightforward language for the clinician, this book integrates the principles and mathematics of measurement with the physiological systems to which the quantitative problems are applied. Although there is an emphasis on the clinical measurement of radionuclides and quantitative procedures in nuclear medicine, this book has been written with all clinicians in mind. Starting from basic mathematics, the book covers the measurement of blood flow, the peripheral circulation and microvascular solute transfer, the pharmacokinetics of agenda routinely used in nuclear medicine as well as scintillation detectors, data processing and quantification. In separate chapters measurement in the heart, lung, gastro-intestinal tract, liver, spleen, genitourinary tract and the brain are discussed. As imaging has become more functional over the last few years, all clinicians are increasingly using these physiological techniques and so this book should be valuable in the libraries of a wide variety of specialt

The year is 1097. Britain has been politically unstable for an age, and it doesn't seem as though things will be settling down any time soon. It isn't just political issues that threaten the population, however. Without an understanding of the nature of pestilence or the knowledge of how to treat it, disease runs rampant through the population, affecting everyone in its path. While tragedy rampages unchallenged, one place stands apart from the events afflicting the world at large. Hidden away in a corner of the land stands the large, stone monastery that serves as a shelter from the terrifying world. It is here that one man finds himself on a journey he never expected he would take. He discovers the art of illumination, not only in the creation of beautiful manuscripts, but in illumination of the soul. In the process, he also uncovers a secret that will propel him into a world he never expected to find.