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The new edition of this book provides an up-to-date and comprehensive overview of whiplash-associated disorders, focusing in particular on a functional approach to clinical and instrumental diagnosis and rehabilitative treatment. It fully reflects the changes in our understanding of whiplash injuries since the first edition, and in particular the increased awareness that whiplash is a whole-body trauma in which forces act progressively from the lumbar region to the brain, through the cervical spine. Detailed attention is paid to the functional connections between the sense organs of the inner ear, the sympathetic system, and the spine with a view to optimizing diagnosis and treatment. It is explained how various treatment options can be employed to best effect in patients with different symptoms, following, but updating, the well-known Quebec Task Force guidelines. Underestimated aspects such as positional vertigo, somatic tinnitus, temporomandibular disorders, and back pain are also considered. This book will be an invaluable tool in everyday clinical practice for all who are involved in the diagnosis and treatment of whiplash injury.
There has been much recent progress in global optimization algo rithms for nonconvex continuous and discrete problems from both a theoretical and a practical perspective. Convex analysis plays a fun damental role in the analysis and development of global optimization algorithms. This is due essentially to the fact that virtually all noncon vex optimization problems can be described using differences of convex functions and differences of convex sets. A conference on Convex Analysis and Global Optimization was held during June 5 -9, 2000 at Pythagorion, Samos, Greece. The conference was honoring the memory of C. Caratheodory (1873-1950) and was en dorsed by the Mathematical Programming Societ...
Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such as nonsmooth analysis. This self-contained textbook gives a complete course on all these topics. It is written by a leading specialist who is also a noted expositor. This book provides a thorough introduction to functional analysis and includes many novel elements as well as the standard topics. A short course on nonsmooth analysis and geometry completes the first half of the book whilst the second half concerns the calculus of variations and optimal control. The author pr...
The papers in this wide-ranging collection report on the results of investigations from a number of linked disciplines, including complex algebraic geometry, complex analytic geometry of manifolds and spaces, and complex differential geometry.
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Nel giro di tre mesi, da quando è comparso in Cina, il coronavirus ha via via costretto a casa 1,5 miliardi di studenti, il 91% del totale secondo l'Unesco. In molti paesi - Italia inclusa - le scuole hanno indubbiamente fatto più fatica mentre gli atenei sono sembrati più pronti, anche se tra in vari atenei ci sono diverse differenze. Si va dalla diffusione in streaming degli stessi corsi che si svolgevano in sede con la stessa impostazione e lo stesso linguaggio ai corsi interamente digitali, creati e pensati direttamente per il web. Ne sono un esempio Mooc: i corsi online gratuiti e di massa, che possiamo definire "nativi digitali", in quanto ideati, strutturati e organizzati per esser...
Il volume è la seconda parte di un'opera che può essere usata come libro di testo per il corso di Analisi Matematica II nei corsi di laurea in Fisica, Matematica, Ingegneria, Scienze Statistiche. Il testo è corredato da esempi, figure ed esercizi, in parte completamente svolti, in parte con suggerimento per la risoluzione.