The partial differential equations that govern scalar and vector fields are the very language used to model a variety of phenomena in solid mechanics, fluid flow, acoustics, heat transfer, electromagnetism and many others. A knowledge of the main equations and of the methods for analyzing them is therefore essential to every working physical scientist and engineer. Andrea Prosperetti draws on many years' research experience to produce a guide to a wide variety of methods, ranging from classical Fourier-type series through to the theory of distributions and basic functional analysis. Theorems are stated precisely and their meaning explained, though proofs are mostly only sketched, with comments and examples being given more prominence. The book structure does not require sequential reading: each chapter is self-contained and users can fashion their own path through the material. Topics are first introduced in the context of applications, and later complemented by a more thorough presentation.
This book presents the results of a unique macroscopic and radiological analysis, by X-ray and CT scan, of the bone pathologies of about 1800 subjects who lived at the time of the Roman Empire (first and second centuries A.D.) and whose remains were recovered during the excavation of a suburban necropolis of Rome. The survey, which represents a collaboration between the Italian Society of Orthopaedics and Traumatology and the Special Superintendent for the Archaeological Heritage of Rome, has yielded incredible images of different orthopaedic diseases in a period when no surgical treatment was available: there are cases of infection (osteomyelitis), metabolic disease (gout), hematologic disease (multiple myeloma), traumatic lesions and their complications and degenerative pathology (osteoarthritis, particularly secondary and overload). A multidisciplinary team including orthopaedists, paleopathologists, radiologists and medical historians has evaluated the major groups of bone disease in the population finding out incredible cases and picture of ortho-traumatologic pathologies in a pre-surgical era. The homogeneity of the sample and the number of subjects make this a study of fundamental importance.
The partial differential equations that govern scalar and vector fields are the very language used to model a variety of phenomena in solid mechanics, fluid flow, acoustics, heat transfer, electromagnetism and many others. A knowledge of the main equations and of the methods for analyzing them is therefore essential to every working physical scientist and engineer. Andrea Prosperetti draws on many years' research experience to produce a guide to a wide variety of methods, ranging from classical Fourier-type series through to the theory of distributions and basic functional analysis. Theorems are stated precisely and their meaning explained, though proofs are mostly only sketched, with comments and examples being given more prominence. The book structure does not require sequential reading: each chapter is self-contained and users can fashion their own path through the material. Topics are first introduced in the context of applications, and later complemented by a more thorough presentation.
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