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Vitamins in the Prevention of Human Diseases
Vitamins - especially B- and D-vitamins - influence the development and outcome of many neurodegenerative and other diseases. Among others, dementia, neural tube defects, epilepsy, and osteoporoses can be caused by vitamin deficiency. This book provides up-to-date knowledge on the role of water and fat soluble vitamins in the prevention of human diseases. Having knowledge about the association of vitamins and disease, as well as keeping track on the patients vitamin status has become increasingly important to every physician and clinical chemist.
Monomialization of Morphisms from 3-Folds to Surfaces
A morphism of algebraic varieties (over a field characteristic 0) is monomial if it can locally be represented in e'tale neighborhoods by a pure monomial mappings. The book gives proof that a dominant morphism from a nonsingular 3-fold X to a surface S can be monomialized by performing sequences of blowups of nonsingular subvarieties of X and S. The construction is very explicit and uses techniques from resolution of singularities. A research monograph in algebraic geometry, it addresses researchers and graduate students.
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Séminaire de Probabilités XXXVII
The 37th Séminaire de Probabilités contains A. Lejay's advanced course which is a pedagogical introduction to works by T. Lyons and others on stochastic integrals and SDEs driven by deterministic rough paths. The rest of the volume consists of various articles on topics familiar to regular readers of the Séminaires, including Brownian motion, random environment or scenery, PDEs and SDEs, random matrices and financial random processes.
SeaCities
This book presents and discusses a strategy which includes four approaches to dealing with the risk of sea-level rise and other water hazards. It also offers opportunities for cities to explore urban extensions such as marine estates, aquatic food production systems, new sea related industries, maritime transport developments, new oceanic tourist attractions, and the designation of additional coastal ecological zones. The urban interface between Sea and Cities generates, therefore, both burning issues and valuable opportunities and raises the question of whether it is possible to solve the former by exploiting the latter?
Noncommutative Geometry
Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists.
