In case you are considering to adopt this book for courses with over 50 students, please contact ties.nijssen@springer.com for more information. This introduction to mathematical logic starts with propositional calculus and first-order logic. Topics covered include syntax, semantics, soundness, completeness, independence, normal forms, vertical paths through negation normal formulas, compactness, Smullyan's Unifying Principle, natural deduction, cut-elimination, semantic tableaux, Skolemization, Herbrand's Theorem, unification, duality, interpolation, and definability. The last three chapters of the book provide an introduction to type theory (higher-order logic). It is shown how various mathematical concepts can be formalized in this very expressive formal language. This expressive notation facilitates proofs of the classical incompleteness and undecidability theorems which are very elegant and easy to understand. The discussion of semantics makes clear the important distinction between standard and nonstandard models which is so important in understanding puzzling phenomena such as the incompleteness theorems and Skolem's Paradox about countable models of set theory. Some of the numerous exercises require giving formal proofs. A computer program called ETPS which is available from the web facilitates doing and checking such exercises. Audience: This volume will be of interest to mathematicians, computer scientists, and philosophers in universities, as well as to computer scientists in industry who wish to use higher-order logic for hardware and software specification and verification.
This book presents the first single comprehensive analysis of the scope of geographical realities and relevance in health care work. Conceptually, the book conveys how space, place and geographical ideas matter to clinical practice, from the historical beginnings of professional roles and responsibilities in medicine to the present day. In 8 chapters, the book covers healthcare work across a range of job types (including physician, nurse, and multiple technical and therapeutic roles in multiple specialties), and across a range of scales (focusing on global issues and trends, national and regional particularities, urban and rural issues, institutional environments and various community settings). This book is intended for students, teachers, and researchers in geography, social science and various health sciences. Chapter 1 examines how geographical ideas have been central to practitioners' thinking and practice over time. Chapter 2 reviews the scope of contemporary geographical study of health care work. Chapter 3 presents an empirical case study of the geographies in hospital-based ward work. Chapter 4 presents an empirical case study of the geographies in ambulance/rapid response work. Chapter 5 presents a case study of the geographies associated with a high profile case of criminality and neglect in practice. Chapter 6 considers concepts and the geographies in person-centred care. Chapter 7 considers concepts and the geographies in skills attainment.
Before skyscrapers and streetlights, American cities fell into inky blackness with each setting of the sun. But over the course of the 19th and early 20th centuries, new technologies began to light up the city. This text depicts the changing experiences of the urban night over this period, visiting a host of actors in the nocturnal city.
Our closest living relatives are the chimpanzee and bonobo. We share many characteristics with them, but our lineages diverged millions of years ago. Who in fact was our last common ancestor? Bringing together ecology, evolution, genetics, anatomy and geology, this book provides a new perspective on human evolution. What can fossil apes tell us about the origins of human evolution? Did the last common ancestor of apes and humans live in trees or on the ground? What did it eat, and how did it survive in a world full of large predators? Did it look anything like living apes? Andrews addresses these questions and more to reconstruct the common ancestor and its habitat. Synthesising thirty-five years of work on both ancient environments and fossil and modern ape anatomy, this book provides unique new insights into the evolutionary processes that led to the origins of the human lineage.
The aim of the atlas is to provide images of taphonomic modifications, making it as comprehensive as possible with evidence presently available. This volume is intended both as a field guide for identifying taphonomic modifications in the field, and for use in the laboratory when collections of fossils are being analyzed. Images in the book are a combination of scanning electron micrographs, regular photographs, cross-sections of bones and line drawings and graphs. By providing good quality illustrations of taphonomic modifications, with links between similar types of modification, the atlas provides a reference source for identifying the agents responsible for the modifications, the processes by which they were formed, and the potential bias introduced by the processes. The authors also aim to emphasize on the directions they consider taphonomic studies should be headed. Firstly, we should seek to quantify the degree of bias introduced into a fossil fauna and to take account of this bias before interpreting the palaeoecology of the fossil site. Secondly, we should recognize that taphonomic modifications increase the information encoded in fossils by identifying perimortem and postmortem contexts. This provides a more dynamic and realistic view of the past.
For the British 1st Airborne Division Operation Market Garden in September 1944 was a disaster. The Division was eliminated as a fighting force with around a half of its men were captured. The Germans were faced with dealing with 6,000 prisoners in a fortnight; many of them seriously wounded. Somehow the men were processed and despatched to camps around Germany and German occupied eastern Europe. Here the men experienced the reality of the collapsing regime – little food and shrinking frontiers. Once liberated in 1945 returning former prisoners were required to complete liberation questionnaires. Some refused. Others returned before ’Operation Endor’ to handle released men and their repatriation to Britain was in place. Around a third did. However the questionnaires that do exist give an picture of every day experience for the 2,357 of these elite troops’ time in captivity from capture to release. They show that German procedures still operating, but that men were often treated inhumanely, when moved to camps by closed box cars and when camps were evacuated. Although their interrogators were interested in Allied aircraft and airfields, their interrogators were also concerned the effect of the new miracle weapons and with politics, how Germany would be treated after an Allied victory? Nevertheless the airborne men’s morale remained high; carrying out sabotage at artificial oil plants, railway repairs, factories and mines. Some overcame their guards when being evacuated at the end of the War, in some cases joining the Resistance. They record help received from Dutch, French and German civilians.
The public health risks posed by automotive particulate emissions are well known. Such particles are sufficiently small to reach the deepest regions of the lungs; and moreover act as carriers for many potentially toxic substances. Historically, diesel engines have been singled out in this regard, but recent research shows the need to consider particulate emissions from gasoline engines as well. Already implicated in more than one respiratory disease, the strongest evidence in recent times points to particle-mediated cardiovascular disorders (strokes and heart attacks). Accordingly, legislation limiting particulate emissions is becoming increasingly stringent, placing great pressure on the automotive industry to produce cleaner vehicles - pressure only heightened by the ever-increasing number of cars on our roads. Particulate Emissions from Vehicles addresses a field of increased international interest and research activity; discusses the impact of new legislation globally on the automotive industry; and explains new ways of measuring particle size, number and composition that are currently under development. The expert analysis and summary of the state-of-the-art, which encompasses the key areas of combustion performance, measurement techniques and toxicology, will appeal to R&D practitioners and engineers working in the automotive industry and related mechanical fields, as well as postgraduate students and researchers of engine technology, air pollution and life/ environmental science. The public health aspects will also appeal to the biomedical research community.
In Island Epidemics, the authors show that the complex warfare of invasion and extinction observed by Darwin for plants and animals applies with equal force to human diseases. A world picture is presented of diseases, which range from the familiar (influenza and German measles) to the exotic (kuru and tsutsugamushi), and islands which range in remoteness, from the accessible United Kingdom to the inaccessible Tristan da Cunha and Easter Island.
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