Written by one of the subject's foremost experts, this is the first book on division space integration theory. It is intended to present a unified account of many classes of integrals including the Lebesgue-Bochner, Denjoy-Perron gauge, Denjoy-Hincin, Cesaro-Perron, and Marcinkiewicz-Zygmund integrals. Professor Henstock develops here the general axiomatic theory of Riemann-type integration from first principles in such a way that familiar classes of integrals (such as Lebesgue and Wiener integrals) are subsumed into the general theory in a systematic fashion. In particular, the theory seeks to place Feynman integration on a secure analytical footing. By adopting an axiomatic approach, proofs are, in general, simpler and more transparent than have previously appeared. The author also shows how one proof can prove corresponding results for a wide variety of integrals. As a result, this book will be the central reference work in this subject for many years to come.

Because of their vital role in the emergence of humanity, tools and their uses have been the focus of considerable worldwide study. This volume brings together international research on the use of tools among primates and both prehistoric and modern humans. The book represents leading work being done by specialists in anatomy, neurobiology, prehistory, ethnology, and primatology. Whether composed of stone, wood, or metal, tools are a prolongation of the arm that acquire precision through direction by the brain. The same movement, for example, may have been practiced by apes and humans, but the resulting action varies according to the extended use of the tool. It is therefore necessary, as the contributors here make clear, to understand the origin of tools, and also to describe the techniques involved in their manipulation, and the possible uses of unknown implements. Comparison of the techniques of chimpanzees with those of prehistoric and modern peoples has made it possible to appreciate the common aspects and to identify the differences. The transmission of ability has also been studied in the various relevant societies: chimpanzees in their natural habitat and in captivity, hunter-gatherers, and workmen in prehistoric and in modern times. In drawing together much valuable research, this work will be an important and timely resource for social and behavioral psychologists, anthropologists, paleontologists, and animal behaviorists.

Bishop Harvey Spencer never thought he'd witness a pandemic-just as he never expected to see the election of a Black president, the election of a female vice president (Black or otherwise), or an insurrection. But all of those things have happened, and our lives have been forever altered. In this book, he seeks to discover what God is trying to reveal to us by letting COVID-19 run rampant. By studying the Bible, he discovered it is not silent when it comes to fighting an infectious disease. He answers questions such as: - How did ancient Israel fight the spread of another infectious disease-leprosy? - What does the Bible tell us about quarantining individuals who are sick or may be sick? - Why do some elected officials continue to display a lack of leadership amid the pandemic? The author also examines what the Bible says about using face coverings, what the world has done to fight other outbreaks of disease, and similarities between COVID-19 and other deadly viruses. Get simple, practical explanations from the Bible that will help you understand the spread of COVID-19-and how to protect yourself-with A Biblical Response to COVID-19.

The emphasis of Planetary Atmospheres is on comparative aspects of planetary atmospheres, generally meaning comparison with the Earth, including atmospheric composition, thermal structure, cloud properties, dynamics, weather and climate, and aeronomy. The goal is to look for common processes at work under different boundary conditions in order to reach a fundamental understanding of the physics of atmospheres. As part of a general Physics course, the material is chosen to emphasise certain aspects that will be of broad topical interest:
- evolutionary processes, setting the Earth in its context as a planet and a member of the Solar System
- the properties of atmospheres that affect the climate near the surface of each planet
- measurement techniques and models, where the same experimental and theoretical physics is applied under different conditions to investigate and explain atmospheric behaviour.
These might be thought of as the astronomical, environmental, and technical sides of the discipline respectively.
The book covers the basic physics of planetary atmospheres in a single text for students or anyone interested in this area of science. The approach is the same as in the author's previous book Elementary Climate Physics: an overview, followed by more detailed discussion of key topics arranged by physical phenomenon and not planet by planet as usually found in this field. There is an emphasis on acquiring and interpreting measurements, and the basic physics of instruments and models, with key definitions and some historical background in footnotes and in the glossary at the end of the book.

This textbook describes the physics of semiconductor nanostructures with emphasis on their electronic transport properties. At its heart are five fundamental transport phenomena: quantized conductance, tunnelling transport, the Aharonov-Bohm effect, the quantum Hall effect, and the Coulomb blockade effect.
The book starts out with the basics of solid state and semiconductor physics, such as crystal structure, band structure, and effective mass approximation, including spin-orbit interaction effects important for research in semiconductor spintronics. It contains material aspects such as band engineering, doping, gating, and a selection of nanostructure fabrication techniques. The book discusses the Drude-Boltzmann-Sommerfeld transport theory as well as conductance quantization and the Landauer-Buttiker theory. These concepts are extended to mesoscopic interference phenomena and decoherence, magnetotransport, and interaction effects in quantum-confined systems, guiding the reader from fundamental effects to specialized state-of-the-art experiments.
The book will provide a thorough introduction into the topic for graduate and PhD students, and will be a useful reference for lecturers and researchers working in the field.

Quantum mechanical problems capable of exact solution are traditionally solved in a few instances only (such as the harmonic oscillator and angular momentum) by operator methods, but mainly by means of Schrodinger's wave mechanics. The present volume shows that a large range of one- and three- dimensional problems, including certain relativistic ones, are solvable by algebraic, representation-independent methods using commutation relations, shift operators, the viral, hyperviral, and Hellman-Feynman theorems. Applications of these operator methods to the calculation of eigenvalues, matrix elements, and wavefunctions are discussed in detail. This volume provides an outstanding introduction to the use of operator methods in quantum mechanics, and also serves as a reference work on this topic. As such it is an excellent complement to senior and graduate courses in quantum mechanics. Although primarily a book on applications of operator methods, the presentation is made self-contained by the inclusion of an introductory chapter on the formalism of quantum mechanics. Additional background material supplements the volume at various points in the text. Although there has been much research on operator methods to solve quantum mechanical problems, until now many of these results have remained scattered throughout the literature. Nonspecialists, as well as graduate and upper division students in physics will find this accessible volume to be essential reading in theoretical physics.

The biological and social sciences often generalize causal conclusions from one context or location to others that may differ in some relevant respects, as is illustrated by inferences from animal models to humans or from a pilot study to a broader population. Inferences like these are known as extrapolations. The question of how and when extrapolation can be legitimate is a fundamental issue for the biological and social sciences that has not received the attention it deserves. In Across the Boundaries, Steel argues that previous accounts of extrapolation are inadequate and proposes a better approach that is able to answer methodological critiques of extrapolation from animal models to humans.
Across the Boundaries develops the thought that knowledge of mechanisms linking cause to effect can serve as a basis for extrapolation. Despite its intuitive appeal, this idea faces several obstacles. Extrapolation is worthwhile only when there are stringent practical or ethical limitations on what can be learned about the target (say, human) population by studying it directly. Meanwhile, the mechanisms approach rests on the idea that extrapolation is justified when mechanisms are the same or similar enough. Yet since mechanisms may differ significantly between model and target, it needs to be explained how the suitability of the model could be established given only very limited information about the target. Moreover, since model and target are rarely alike in all relevant respects, an adequate account of extrapolation must also explain how extrapolation can be legitimate even when some causally relevant differences are present.
Steel explains how his proposal can answer thesechallenges, illustrates his account with a detailed biological case study, and explores its implications for such traditional philosophy of science topics ceteris paribus laws and reductionism. Finally, he considers whether mechanisms-based extrapolation can work in social science.

Restoring Layered Landscapes brings together historians, geographers, philosophers, and interdisciplinary scholars to explore ecological restoration in landscapes with complex histories shaped by ongoing interactions between humans and nature. For many decades, ecological restoration - particularly in the United States - focused on returning degraded sites to conditions that prevailed prior to human influence. This model has been broadened in recent decades, and restoration now increasingly focuses on the recovery of ecological functions and processes rather than on returning a site to a specific historical state. Nevertheless, neither the theory nor the practice of restoration has fully come to terms with the challenges of restoring layered landscapes, where nature and culture shape one another in deep and ongoing relationships. Former military and industrial sites provide paradigmatic examples of layered landscapes. Many of these sites are not only characterized by natural ecosystems worth preserving and restoring, but also embody significant political, social, and cultural histories. This volume grapples with the challenges of restoring and interpreting such complex sites: What should we aim to restore in such places? How can restoration adequately take the legacies of human use into account? Should traces of the past be left on the landscape, and how can interpretive strategies be creatively employed to make visible the complex legacies of an open pit mine or chemical weapons manufacturing plant? Restoration aims to create new value, but not always without loss. Restoration often disrupts existing ecosystems, infrastructure, and artifacts. The chapters in this volume consider what restoration can tell us more generally about the relationship between continuity and change, and how the past can and should inform our thinking about the future. These insights, in turn, will help foster a more thoughtful approach to human-environment relations in an era of unprecedented anthropogenic global environmental change.

This manual provides an easy guide to pain management for the veterinary practitioner. Beginning with pain terminology, it goes on to describe to physiology of pain, management strategies, various drugs and techniques, and the management of specific conditions and procedures. Strategies for the treatment of pain are comprehensively reviewed, with an overview of the mechanisms by which pain is perceived and the principles of pain management. The drugs currently used in the treatment of acute and chronic pain are discussed as well as the specific techniques that can be used to control intra- and post operative pain in dogs and cats. The book covers a broad range of information on specific aspects of pain management from analgesic techniques to management of chronic pain to pain perception. Published by Teton New Media USA and distributed by CRC Press outside of North America.

The world-wide sales of polysiloxanes or silicones at the beginning of this new millennium is approximately $10 billion per year. Commercial products range from those entirely composed of silicone to products where the silicone is a low level but key component. This symposium covered the recent academic and technological developments behind silicones and silicone-modified materials and the sessions were well attended of wide interest to both the academic and industrial communities. The papers from our two highly successful symposia in this important area were published in the books Silicones and Silicone-Modified Materials, (Eds. S. J. Clarson, J. J. Fitzgerald, M. J. Owen and S. D. Smith), ACS Symposium Series Vol. 729 / Oxford University Press, 2000, ISBN 0-8412-3613-5 and Synthesis and Properties of Silicones and Silicone-Modified Materials, (Eds. S. J. Clarson, J. J. Fitzgerald, M. J. Owen, S. D. Smith and M. E. Van Dyke), ACS Symposium Series Vol 838 / Oxford University Press, 2003, ISBN 0-8412-3804-9

This textbook offers an accessible, modern introduction at undergraduate level to an area known variously as general topology, point-set topology or analytic topology with a particular focus on helping students to build theory for themselves. It is the result of several years of the authors' combined university teaching experience stimulated by sustained interest in advanced mathematical thinking and learning, alongside established research careers in analytic topology. Point-set topology is a discipline that needs relatively little background knowledge, but sufficient determination to grasp ideas precisely and to argue with straight and careful logic. Research and long experience in undergraduate mathematics education suggests that an optimal way to learn such a subject is to teach it to yourself, pro-actively, by guided reading of brief skeleton notes and by doing your own spadework to fill in the details and to flesh out the examples. This text will facilitate such an approach for those learners who opt to do it this way and for those instructors who would like to encourage this so-called 'Moore approach', even for a modest segment of the teaching term or for part of the class. In reality, most students simply do not have the combination of time, background and motivation needed to implement such a plan fully. The accessibility, flexibility and completeness of this text enable it to be used equally effectively for more conventional instructor-led courses. Critically, it furnishes a rich variety of exercises and examples, many of which have specimen solutions, through which to gain in confidence and competence.

Developed for the new International A Level specification, these new resources are specifically designed for international students, with a strong focus on progression, recognition and transferable skills, allowing learning in a local context to a global standard. Recognised by universities worldwide and fully comparable to UK reformed GCE A levels. Supports a modular approach, in line with the specification. Appropriate international content puts learning in a real-world context, to a global standard, making it engaging and relevant for all learners. Reviewed by a language specialist to ensure materials are written in a clear and accessible style. The embedded transferable skills, needed for progression to higher education and employment, are signposted so students understand what skills they are developing and therefore go on to use these skills more effectively in the future. Exam practice provides opportunities to assess understanding and progress, so students can make the best progress they can.

This book is a long-term history of optics, from early Greek theories of vision to the nineteenth-century victory of the wave theory of light. It shows how light gradually became the central entity of a domain of physics that no longer referred to the functioning of the eye; it retraces the subsequent competition between medium-based and corpuscular concepts of light; and it details the nineteenth-century flourishing of mechanical ether theories. The author critically exploits and sometimes completes the more specialized histories that have flourished in the past few years. The resulting synthesis brings out the actors' long-term memory, their dependence on broad cultural shifts, and the evolution of disciplinary divisions and connections. Conceptual precision, textual concision, and abundant illustration make the book accessible to a broad variety of readers interested in the origins of modern optics.

The American Chemical Society Committee on Analytical Reagents is the only organization in the world that sets requirements and develops validated methods for determining the purity of analytical reagents. For the first time, Reagent Chemicals, 10th Edition includes general physical properties and analytical uses for all reagent chemicals, nearly 500 chemicals. Thirty-two new reagents and three new classes of standard grade reference materials are introduced in this edition. In addition, the use of Inductively Coupled Plasma Mass Spectrometry (ICP-MS), which is recognized as the most powerful and flexible trace element technique, is now accepted as an analytical method in the 10th edition. Other improvements include a CAS number index, a separate index for standard grade reference materials, updated atomic weights, frequently used mathematical equations, complete assay calculations with titer values, a tutorial on how to read a monograph, and detailed tables of contents introducing each section.

In the later part of the 20th century, the United States experienced a remarkable surge in public interest toward medicinal and aromatic crops and this trend continues. This consumer interest helped create a significant demand for plants with culinary and medicinal applications as the public discovers their benefits for a wide range of applications. Consequently, this consumer call has generated a huge demand on farmers, but has also provided opportunities for new agricultural crops to support both fresh and dry raw material markets. Processing raw materials for end use by consumers introduces even more variables at all levels from harvesting to final desired product. Maintaining quality and authenticity throughout this process has inspired farmers, processing facilities, and regulatory agencies to adopt new practices and new laws to maintain safety and quality. Maintaining this quality and authenticity is often made possible using analytical methods for quality control, which subsequently triggered a demand for both regulatory agencies and scientists throughout the world. For aforementioned reasons, it is imperative that scientists continue to explore related topics from the field to the final consumer product. This book touches on many of the issues currently being addressed by scientists working to produce the desired consumer product while maintaining authenticity and quality and environmental stewardship.

This book is a unique introduction to graph theory, written by one of its founding fathers. It is not intended as a comprehensive treatise, but rather as an account of those parts of the theory that have been of special interest to the author. Professor Tutte details his experiences in the area, and provides a fascinating insight into the processes leading to his proofs.

This series contains the most focused resources for the 'mainstream' modules of the AS and A-Level courses. Providing thorough exam preparation through detailed worked examples, practise questions and further practise on the CD-ROM, these are the most supportive, AQA revision resources available. Checked by examiners, students can have complete confidence in covering all the topics for their specification Maximises students' marks by honing their exam technique with examiner tips, a sample module paper and step-by-step solutions on CD-ROM Includes theory and strategies for answering each type of question with progressive questions and Powerpoint model answers to strengthen understanding and application. A perfect match to each module of AQA

The Shape of Thought: How Mental Adaptations Evolve presents a road map for an evolutionary psychology of the twenty-first century. It brings together theory from biology and cognitive science to show how the brain can be composed of specialized adaptations, and yet also an organ of plasticity. Although mental adaptations have typically been seen as monolithic, hard-wired components frozen in the evolutionary past, The Shape of Thought presents a new view of mental adaptations as diverse and variable, with distinct functions and evolutionary histories that shape how they develop, what information they use, and what they do with that information. The book describes how advances in evolutionary developmental biology can be applied to the brain by focusing on the design of the developmental systems that build it. Crucially, developmental systems can be plastic, designed by the process of natural selection to build adaptive phenotypes using the rich information available in our social and physical environments. This approach bridges the long-standing divide between "nativist" approaches to development, based on innateness, and "empiricist" approaches, based on learning. It shows how a view of humans as a flexible, culturally-dependent species is compatible with a complexly specialized brain, and how the nature of our flexibility can be better understood by confronting the evolved design of the organ on which that flexibility depends.