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In this volume two topics are discussed: the construction of Feller and Lp-sub-Markovian semigroups by starting with a pseudo-differential operator, and the potential theory of these semigroups and their generators. The first part of the text essentially discusses the analysis of pseudo-differential operators with negative definite symbols and develops a symbolic calculus, in addition, it deals with special approaches, such as subordination in...

This book, written by two mathematicians from the University of Southern California, provides a broad introduction to the important subject of nonlinear mixture models from a Bayesian perspective. It contains background material, a brief description of Markov chain theory, as well as novel algorithms and their applications. It is self-contained and unified in presentation, which makes it ideal for use as an advanced textbook by graduate studen...

Drawing especially on insights emerging from studies of the cellular networks formed by fungi, this book describes the fundamental indeterminacy that enables life forms to thrive in and create inconstant circumstances. It explains how indeterminacy arises from counteraction between associative and dissociative processes at the reactive interfaces between living systems and their surroundings. It stresses the relevance of these processes to und...

Acute Renal Failure in Practice, edited by practising renal physicians, is the essential guide to the clinical management of patients with acute renal failure and its complex, life-threatening metabolic sequelae. This book explains the workings of the normal kidney, illustrates the aetiology and pathophysiology of acute renal disease, and provides practical treatment guidelines relevant to the day-to-day needs of the practising clinician. Ther...

This invaluable book has been written specifically for trainee physicians preparing for the second part examination for membership of the Royal College of Physicians. It is in the format of this examination and the questions are typical of those used. The questions have been selected to cover sections of haematology which are particularly important for specialists in internal medicine. Although the questions have been formatted for this specif...

About 8000 clinical trials are undertaken annually in all areas of medicine, from the treatment of acne to the prevention of cancer. Correct interpretation of the data from such trials depends largely on adequate design and on performing the appropriate statistical analyses. In this book, the statistical aspects of both the design and analysis of trials are described, with particular emphasis on recently developed methods of analysis.

This textbook deals with the requirements of space physics. The first part starts with a description of the Earth's plasma environment, followed by a derivation of single particle motions in electromagnetic fields, with applications to the Earth's magnetosphere. Then the origin and effects of collisions and conductivities, formation of the ionosphere, magnetospheric convection and dynamics, and solar wind-magnetosphere coupling are discussed.T...

Impossible Minds: My Neurons, My Consciousness has been written to satisfy the curiosity each and every one of us has about our own consciousness. It takes the view that the neurons in our heads are the source of consciousness and attempts to explain how this happens. Although it talks of neural networks, it explains what they are and what they do in such a way that anyone may understand. While the topic is partly philosophical, the text makes...

This book responds to the growing interest in the scholarship of mathematics teaching, over the last 20 years the importance of teachers' knowledge for effective teaching has been internationally recognised. For many mathematics teachers, the critical link between practice and knowledge is implied rather than explicitly understood or expressed. This means it can be difficult to assess and thus develop teachers' professional knowledge. The pres...

Adiabatic shear bands are found in a variety of metals and other materials, they cause rapid weakening due to energy concentration into narrow regions of the material. This is the very first book on this important topic and the only true introduction to the subject.An enhanced and updated student-friendly edition of the authors' 1992 book Adiabatic Shear Localization: Occurrence, Theories and Applications, this seminal text now includes essent...

Systems Biology of Clostridium provides a comprehensive overview of system biology approaches in clostridia, especially Clostridium acetobutylicum. Systems biology is a rapidly evolving scientific discipline that allows us to understand and predict the metabolism and its changes within the bacterium as a whole.Clostridia represent one of the largest bacterial genera. This group contains organisms with metabolic properties that hold enormous po...

This book is an interdisciplinary review of the effect of fracture on life, following the development of the understanding of fracture written from a historical perspective. After a short introduction to fracture, the first section of the book covers the effects of fracture on the evolution of the Earth, plants and animals, and man. The second section of the book covers the largely empirical control of fracture from ancient times to the end of...

Drawing especially on insights emerging from studies of the cellular networks formed by fungi, this book describes the fundamental indeterminacy that enables life forms to thrive in and create inconstant circumstances. It explains how indeterminacy arises from counteraction between associative and dissociative processes at the reactive interfaces between living systems and their surroundings. It stresses the relevance of these processes to und...

This invaluable book, based on the many years of teaching experience of both authors, introduces the reader to the basic ideas in differential topology. Among the topics covered are smooth manifolds and maps, the structure of the tangent bundle and its associates, the calculation of real cohomology groups using differential forms (de Rham theory), and applications such as the PoincariHopf theorem relating the Euler number of a manifold and the...

This book aims to familiarize the reader with the essential properties of the chaotic dynamics of Hamiltonian systems by avoiding specialized mathematical tools, thus making it easily accessible to a broader audience of researchers and students. Unique material on the most intriguing and fascinating topics of unsolved and current problems in contemporary chaos theory is presented. The coverage includes: separatrix chaos, properties and a descr...

This textbook deals with the requirements of space physics. The first part starts with a description of the Earth's plasma environment, followed by a derivation of single particle motions in electromagnetic fields, with applications to the Earth's magnetosphere. Then the origin and effects of collisions and conductivities, formation of the ionosphere, magnetospheric convection and dynamics, and solar wind-magnetosphere coupling are discussed.T...

Ever since the beginning of mankind's efforts to pursue scientific inquiry into the laws of nature, visualization of the very distant and the very small has been paramount. The examples are numerous. A century ago, the atom appeared mysterious, a "raisin or plum pie of no structure, " until it was visualized on the appropriate length and time scales. Similarly, with telescopic observations, a central dogma of the cosmos was changed and complex...

These are the reflections of a nonagenarian polymath describing the shift from a fifty-year-long career as a world-famous chemist to a subsequent twenty-five-year immersion in "science-in-fiction" and "science-in-theater, " which is virtually unique among contemporary scientists. Sharply self-critical, yet full of humor, this autobiographical account covers themes such as the future of sex in an age of technological reproduction, the history o...

Ever since the beginning of mankind's efforts to pursue scientific inquiry into the laws of nature, visualization of the very distant and the very small has been paramount. The examples are numerous. A century ago, the atom appeared mysterious, a "raisin or plum pie of no structure, " until it was visualized on the appropriate length and time scales. Similarly, with telescopic observations, a central dogma of the cosmos was changed and complex...

Despite their similar political and economic structures, Brazil and the United States have contrasting relationships with the international community as well as different policy approaches to the prevention and treatment of epidemics. In this regard, an interesting empirical puzzle arises: how and why was Brazil able to outpace the United States in its health policy response to epidemics?The aim of this book is to introduce a new, comparative ...