This book is an introduction to the theory of spatial quasiregular mappings intended for the uninitiated reader. At the same time the book also addresses specialists in classical analysis and, in particular, geometric function theory. The text leads the reader to the frontier of current research and covers some most recent developments in the subject, previously scatterd through the literature. A major role in this monograph is played by certain conformal invariants which are solutions of extremal problems related to extremal lengths of curve families. These invariants are then applied to prove sharp distortion theorems for quasiregular mappings. One of these extremal problems of conformal geometry generalizes a classical two-dimensional problem of O. Teichmüller. The novel feature of the exposition is the way in which conformal invariants are applied and the sharp results obtained should be of considerable interest even in the two-dimensional particular case. This book combines the features of a textbook and of a research monograph: it is the first introduction to the subject available in English, contains nearly a hundred exercises, a survey of the subject as well as an extensive bibliography and, finally, a list of open problems.
This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n is greater than 2). There are many ways to develop this theory as the literature shows. The authors' approach is based on the use of metrics, in particular conformally invariant metrics, which will have a key role throughout the whole book. The intended readership consists of mathematicians from beginning graduate students to researchers. The prerequisite requirements are modest: only some familiarity with basic ideas of real and complex analysis is expected.
This important book provides a broad, integrated overview of current research on word-finding deficit, anomia, the most common symptom of language dysfunction occurring after brain damage. Besides its clinical importance, anomia gives a fascinating view on the inner workings of language in the brain. Written by two internationally known researchers in the field, the book begins with an overview of psycholinguistic research on normal word retrieval as well as the influential cognitive models of naming and goes on to review the major forms of anomia. Neuroanatomical aspects, clinical assessment and therapeutic approaches are reviewed and evaluated. This edition has been fully updated to include coverage of advances in cognitive modeling of lexical retrieval disorders, structural and functional neuroimaging findings on the neural basis of naming and anomia, anomia diagnostics and new approaches to the challenging task of anomia therapy. Covering both theory and practice, this book provides invaluable reading for researchers and practitioners in speech and language disorders, neuropsychology and neurology, as well as for advanced undergraduate students and graduate students in the field.
This book elucidates the fundamental thermomechanical behaviour inherent in the 3D printing process within a laser-based powder bed fusion (L-PBF) system. It presents foundational concepts and provides in-depth derivations of the governing equations. The analysis encompasses arbitrary anisotropic linear viscoelastic materials, accounting for thermal effects. The authors leverage the theory of axially moving materials, a framework previously employed in the analysis of production processes within the process industry. They introduce a coordinate frame that moves in tandem with the printing laser, adopting an Eulerian perspective towards the in-motion solid. Designed for graduate students and researchers, this book is poised to foster a profound comprehension and spur innovative technological advancements in the realm of additive manufacturing.
Diagnosing Wild Species Harvest bridges gaps of knowledge fragmented among scientific disciplines as it addresses this multifaceted phenomenon that is simultaneously global and local. The authors emphasize the interwoven nature of issues specific to the ecological, economic, and socio-cultural realms of wild species harvest. The book presents the diagnosing wild species harvest procedure as a universal approach that integrates seven thematic perspectives to harvest systems: resource dynamics, costs and benefits, management, governance, knowledge, spatiality, and legacies. When analyzed, these themes help to build a holistic understanding of this globally important phenomenon. Scholars, professionals and students in various fields related to natural resources will find the book a valuable resource. Wild species form important resources for people worldwide, and their harvest is a major driver of ecosystem change. Tropical forests regions, including Amazonia, are among those parts of the world where wild species are particularly important for people's livelihoods and larger economies. This book draws on tangible experiences from Amazonia, presented in lively narratives intermingling scientific information with stories of the people engaged in harvest and management of wild species. These stories are linked to relevant theory of wild species harvest and wider discussions on conservation, development, and the global quest of sustainability. - Includes research and report-style narratives describing a wide variety of concrete cases - Addresses wild species harvest from a holistic perspective including ecological, economic and socio-cultural issues, not limiting the scope to a single type of resources - Provides theoretical treatment of wild species harvest worldwide, with special emphasis in the most recent scientific understanding on the biodiversity of the Amazonian lowland region - Presents an objective viewpoint, noting problems the harvest may cause as well as its potential to contribute both to biodiversity conservation and to local livelihoods and national economies - Coherent, easily followed structure and abundant illustrations help the reader absorb central messages
The Baltic Sea oceanographic research community is wide and the research history is over 100 years old. Nevertheless, there is still no single, coherent book on the physical oceanography of the Baltic Sea as a whole. There is a strong need for such a book, coming from working oceanographers as well as the university teaching programmes in advanced undergraduate to graduate levels. In the regional conference series in physical oceanography (Baltic Sea Science Conference, Baltic Sea Oceanographers' conference, Baltex-conferences) about 500 scientists take part regularly. Even more scientists work in the fields of marine biology, chemistry and the environment, and they need information on the physics of the Baltic Sea as well. There are nine countries bordering on the Baltic Sea and five more in the runoff area. The Baltic Sea as a source of fish, means of transportation and leisure activities is highly important to the regional society. In the runoff area there are a total of 85 million people. Research and protection strategies need to be developed, as the Baltic Sea is probably the most polluted sea in the world. Since the Baltic Sea has become an inner sea of the EU (apart from small shore parts of Russia in Petersburg and Kaliningrad), it is anticipated that the importance of the region will consequently rise. The book will arouse interest among students, scientists and decision makers involved with the Baltic problems. It will also give important background information for those working with biogeochemical processes in the Baltic Sea, because the physical forcing for those processes is of vital importance.
This book is an introduction to the theory of spatial quasiregular mappings intended for the uninitiated reader. At the same time the book also addresses specialists in classical analysis and, in particular, geometric function theory. The text leads the reader to the frontier of current research and covers some most recent developments in the subject, previously scatterd through the literature. A major role in this monograph is played by certain conformal invariants which are solutions of extremal problems related to extremal lengths of curve families. These invariants are then applied to prove sharp distortion theorems for quasiregular mappings. One of these extremal problems of conformal geometry generalizes a classical two-dimensional problem of O. Teichmüller. The novel feature of the exposition is the way in which conformal invariants are applied and the sharp results obtained should be of considerable interest even in the two-dimensional particular case. This book combines the features of a textbook and of a research monograph: it is the first introduction to the subject available in English, contains nearly a hundred exercises, a survey of the subject as well as an extensive bibliography and, finally, a list of open problems.
This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n is greater than 2). There are many ways to develop this theory as the literature shows. The authors' approach is based on the use of metrics, in particular conformally invariant metrics, which will have a key role throughout the whole book. The intended readership consists of mathematicians from beginning graduate students to researchers. The prerequisite requirements are modest: only some familiarity with basic ideas of real and complex analysis is expected.
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