Methods

These lecture notes are intended as a non-technical overview of scattering theory. The point of view adopted throughout is that scattering theory provides a parameterization of the continuous spectrum of an elliptic operator on a complete manifold with uniform structure at infinity. The simple and fundamental case of the Laplacian or Euclidean space is described in the first two lectures to introduce the basic framework of scattering theory. In the next three lectures various results on Euclidean scattering, and the methods used to prove them, are outlined. In the last three lectures these ideas are extended to non-Euclidean settings. These lecture notes will be of interest to graduate students and researchers in the field of applied mathematics.

These lecture notes are intended as a non-technical overview of scattering theory. The point of view adopted throughout is that scattering theory provides a parameterization of the continuous spectrum of an elliptic operator on a complete manifold with uniform structure at infinity. The simple and fundamental case of the Laplacian or Euclidean space is described in the first two lectures to introduce the basic framework of scattering theory. In the next three lectures various results on Euclidean scattering, and the methods used to prove them, are outlined. In the last three lectures these ideas are extended to non-Euclidean settings. These lecture notes will be of interest to graduate students and researchers in the field of applied mathematics.

Plasticity refers to the ability of many organisms to change their biology or behaviour to respond to changes in the environment, particularly when these are stressful. Humans are, perhaps, the most plastic of all species, and hence the most variable. This book reflects on the history of research in this area, state-of-the-art research methods and discoveries and needs for future research in human plasticity and variability. Topics discussed include child growth, starvation, disease of both young and old and the effects of migration, modernisation and other life-style changes. The book will be especially useful to biological anthropologists, human biologists and medical scientists interested in knowing more about how and why humans vary.

As it becomes ever more expensive to purchase land for conservation purposes, it is becoming increasingly important both to manage existing sites properly, and to create new habitats. This comprehensive volume provides a pragmatic, habitat by habitat guide to conservation management, in which the prescriptions and methods are based upon sound science coupled with practical experience. For each habitat, the book guides the reader through the options and solutions, shows the problems to look out for, and gives good and bad examples of habitat management in the past. This will be a must for all practising ecologists, land managers, wardens, landscape architects and conservationists, and will provide a valuable reference for students of ecology, conservation and environmental science.

This compelling book provides an up-to-date survey of the field of defense economics, the study of defense and peace issues, with the application of economic analysis and methods. The subject embraces both microeconomics and macroeconomics, taking into account such features as growth theory, comparative statistics, game theory and econometrics. A wide range of topics are addressed, including all aspects of the economics of defense, disarmament, conversion and peace. The implications of different organizational forms and their performances are examined, considering the efficient management of defense resources budgets and internal markets in the armed forces. In this groundbreaking volume, Sandler and Hartley synthesize and unify the vast literature on defense economics and peace science.

This text bridges the gap between the classic texts on potential theory and modern books on applied geophysics. It opens with an introduction to potential theory, emphasising those aspects particularly important to earth scientists, such as Laplace's equation, Newtonian potential, magnetic and electrostatic fields, and conduction of heat. The theory is then applied to the interpretation of gravity and magnetic anomalies, drawing on examples from modern geophysical literature. Topics explored include regional and global fields, forward modeling, inverse methods, depth-to-source estimation, ideal bodies, analytical continuation, and spectral analysis. The book includes numerous exercises and a variety of computer subroutines written in FORTRAN. Graduate students and researchers in geophysics will find this book essential.

This is an introduction to nonlinear functional analysis, in particular to those methods based on differential calculus in Banach spaces. It is in two parts; the first deals with the geometry of Banach spaces and includes a discussion of local and global inversion theorems for differentiable mappings. In the second part, the authors are more concerned with bifurcation theory, including the Hopf bifurcation. They include plenty of motivational and illustrative applications, which indeed provide much of the justification of nonlinear analysis. In particular, they discuss bifurcation problems arising from such areas as mechanics and fluid dynamics. The book is intended to accompany upper division courses for students of pure and applied mathematics and physics; exercises are consequently included.

This book analyses the crucial features of unionised labour markets. The models in the book refer to labour contracts between unions and management, but the method of analysis is also applicable to non-union labour markets where workers have some market power. In this book, Alison Booth, a researcher in the field, emphasises the connection between theoretical and empirical approaches to studying unionised labour markets. She also highlights the importance of taking into account institutional differences between countries and sectors when constructing models of the unionised labour market. While the focus of the book is on the US and British unionised labour markets, the models and analytical methods are applicable to other industrialised countries with appropriate modifications.

This book analyses the crucial features of unionised labour markets. The models in the book refer to labour contracts between unions and management, but the method of analysis is also applicable to non-union labour markets where workers have some market power. In this book, Alison Booth, a researcher in the field, emphasises the connection between theoretical and empirical approaches to studying unionised labour markets. She also highlights the importance of taking into account institutional differences between countries and sectors when constructing models of the unionised labour market. While the focus of the book is on the US and British unionised labour markets, the models and analytical methods are applicable to other industrialised countries with appropriate modifications.

This book presents a systematic description of the electronic and physico-chemical properties of transition-metal carbides and nitrides. This is the first book devoted to the theoretical modelling of refractory carbides and nitrides and alloys based on them. It makes use of computational methods to calculate their spectroscopic, electric, magnetic, superconducting, thermodynamical and mechanical properties. Calculated results on the electronic band structure of ideal binary transition metal carbides and nitrides are presented, and the influence of crystal lattice defects, vacancies and impurities are studied in detail. Data available on chemical bonding and the properties of multi-component carbide- and nitride-based alloys, as well as their surface electronic structure, are described and compared with those of bulk crystals.

This book provides a brief but thorough account of the basic principles of good pump design. The first three chapters present the basic hydraulic equations, including cavitation, and discuss the principles that underlie the correct performance of the impeller and casing of centrifugal pumps and the blading of axial machines. The fourth chapter outlines analytical methods for flow calculations, including special techniques used in computer aided design. The following two chapters work through two examples: the impeller and casing of a simple volute type centrifugal pump; and an axial flow pump impeller. Shafts, bearings, seals and drives are discussed in a separate chapter. The last two chapters deal with design for difficult fluids, and codes and practices.

This book introduces the theory of the structural loading on ships and offshore structures caused by wind, waves and currents, and goes on to describe the applications of this theory in terms of real structures. The main topics described are linear-wave induced motions, loads on floating structures, numerical methods for ascertaining wave induced motions and loads, viscous wave loads and damping, station-keeping and water impact and entry. The applications of the theoretical principles are introduced with extensive use of exercises and examples. Applications covered include conventional ships, barges, high speed marine vehicles, semisubmersibles, tension leg platforms, moored or dynamic positioned ships, risers, buoys, fishing nets, jacket structures and gravity platforms.

This book outlines the basic science underlying the prediction of stress and velocity distributions in granular materials. It takes the form of a textbook suitable for postgraduate courses, research workers and for use in design offices. The nature of a rigid-plastic material is discussed and a comparison is made between the Coulomb and conical (extended Von Mises) models. The methods of measuring material properties are described and an interpretation of the experimental results is considered in the context of the Critical State Theory. The book will be an invaluable text for all those working with or doing research into granular materials. Exercises and solutions are provided which will be particularly useful for the student.

This book introduces the reader to methods of selecting materials for engineering applications. With the rapid growth in the variety of manufacturing materials available, the choice of the optimum material for an engineering design is of increasing importance and difficulty. Materials have to be chosen that satisfy several, often conflicting, criteria including strength, durability, flammability, and cost. The author, an acknowledged expert on materials, provides a guide to many of the classes of engineering materials currently available. He includes tables and lists of standards, along with lists of consultants' addresses and references. Materials covered include metals, ceramics, polymers, and composites, and there are chapters on surface finishes, materials' performance, and the impact of manufacturing processes on design possibilities.

Recent advances in establishing the nature and scope of estimators in econometrics have shed more light on the importance of instrumental variables. In this book, the authors argue that such methods may be regarded as a strong organizing principle for a wide variety of estimation and hypothesis testing problems in econometrics and statistics. In support of this claim they present and develop the methodology of instrumental variables in its most general and explanatory form. They show, for instance, that techniques commonly used to handle simultaneity and related problems can be reduced to one of two generic variables of instrumental variables estimators, allowing them to explore further the conditions under which different proposed estimators are efficient.

The book presents a new theory of space: how and why it is a vital component of how societies work. The theory is developed on the basis of a new way of describing and analysing the kinds of spatial patterns produced by buildings and towns. The methods are explained so that anyone interested in how towns or buildings are structured and how they work can make use of them. The book also presents a new theory of societies and spatial systems, and what it is about different types of society that leads them to adopt fundamentally different spatial forms. From this general theory, the outline of a 'pathology of modern urbanism' in today's social context is developed.

This book, first published in 1987, was intended as an introduction to biological survey methods for estuaries and coasts (excluding specifically tropical features such an mangroves and coral reefs). The main habitats and groups of organisms are dealt with in chapters on salt marshes, intertidal and subtidal sediments, intertidal and subtidal rock, meiofauna, bacteria and fungi, plankton, fish and birds. Chapters on planning biological surveys, remote sensing and safety are of general application. A guide to identification literature is included. The aim of the book is to introduce readers to a wide range of techniques (together with their advantages and limitations for achieving particular objectives) and to indicate where further information on particular topics can be found.

Directed primarily at college and university undergraduates, this book covers at basic level the essential applications of mathematics to the physical sciences. It contains all the usual topics covered in a first-year course such as vectors, matrices, differential equations, basic mathematical functions and their analysis, and power series. There is a strong emphasis on qualitative understanding (such as curve sketching) and practical methods of solution. The latter take due account of the impact of computers on the subject. The principles of mathematical expression are illustrated by copious examples taken from a wide range of topics in physics and chemistry. Each of the short chapters concludes with a summary and a large number of problems.

This book presents a theory motivated by the spaces LP, 0 ≤ p

For a number of years, French mathematicians have run regular number theory conferences to which they have invited number theorists from many countries. To repay their hospitality, the London Mathematical Society arranged for the 1980 'Journees Arithmeiques' to be held in Exeter. The papers published here are either based on the main invited lectures or on selected research talks given at the conference. They cover all branches of the subject: combinatorial and elementary methods; analytic number theory; transcendence theory; Galois module theory and algebraic number theory in general; elliptic curves and modular functions; local fields; additive number theory; Diophantine geometry, and uniform distribution. It will be necessary reading for all those undertaking research in number theory.

The scientific study of consciousness features a vast array of conflicting theories, but cross-disciplinary exchange between researchers from different camps is not always prevalent. This book seeks to address these complexities by providing a thorough introduction to the field while remaining accessible to those new to the topic. By exploring empirical methods, surveying a variety of competing theories, and outlining challenges for current approaches, it equips readers with the tools to evaluate existing theories. It also showcases contributions from the originators and leading proponents of today's most influential theories, providing unparalleled depth and clarity into diverse theoretical perspectives. Offering a thorough overview of scientific consciousness studies, this book presents new perspectives on a topic that has long puzzled scientists and philosophers alike.

Cell Physiology Source Book, Fifth Edition covers a broad range of topics in cell physiology. The book discusses research areas that have become active since the last edition (e.g., aquaporins, apicoplast and other organelles) and broadens its scope to include chronobiology, expansion of receptor/sensory physiology, endocrinology, and other topics such as quorum sensing and taxis. As methods or approaches on performing experiments appear to be very valuable parts of books to which readers tend to frequently refer, expansion of these types of chapters and/or appendices are included in this edition. Applicable to scientists, researchers, postdocs and graduate students across physiological, biochemical, biological and biomedical backgrounds, cell physiology is important for understanding larger organisms and potential advances in biomedicine.

This new book on mathematical logic by Jeremy Avigad gives a thorough introduction to the fundamental results and methods of the subject from the syntactic point of view, emphasizing logic as the study of formal languages and systems and their proper use. Topics include proof theory, model theory, the theory of computability, and axiomatic foundations, with special emphasis given to aspects of mathematical logic that are fundamental to computer science, including deductive systems, constructive logic, the simply typed lambda calculus, and type-theoretic foundations. Clear and engaging, with plentiful examples and exercises, it is an excellent introduction to the subject for graduate students and advanced undergraduates who are interested in logic in mathematics, computer science, and philosophy, and an invaluable reference for any practicing logician's bookshelf.

Acquire complete knowledge of the basics of air-breathing turbomachinery with this hands-on practical text. This updated new edition for students in mechanical and aerospace engineering discusses the role of entropy in assessing machine performance, provides a review of flow structures, and includes an applied review of boundary layer principles. New coverage describes approaches used to smooth initial design geometry into a continuous flow path, the development of design methods associated with the flow over blade shape (cascades loss theory) and annular type flows, as well as a discussion of the mechanisms for the setting of shaft speed. This essential text is also fully supported by over 200 figures, numerous examples, and homework problems, many of which have been revised for this edition.

Good Science is an account of psychological research emphasizing the moral foundations of inquiry. This volume brings together existing disciplinary critiques of scientism, objectivism, and instrumentalism, and then discusses how these contribute to institutionalized privilege and to less morally responsive research practices. The author draws on historical, critical, feminist, and science studies traditions to provide an alternative account of psychological science and to highlight the irreducibly moral foundations of everyday scientific practice. This work outlines a theoretical framework for thinking about and practicing psychology in ways that center moral responsibility, collective commitment, and justice. The book then applies this framework, describing psychological research practices in terms of the their moral dilemmas. Also included are materials meant to aid in methods instruction and mentoring.

Foreign military intervention has had a profound impact on post-colonial African history and politics. Interventions have destabilized borderlands, overthrown governments, and taken a devastating toll on populations. Emizet F. Kisangani and Jeffrey Pickering advance a new theoretical framework and combine quantitative, qualitative, and historical methods to shed fresh light on these important but understudied events. Their detailed analysis brings understanding to supportive and hostile interventions and to interventions by former colonial states, non-colonial foreign actors, and African countries. Kisangani and Pickering also analyse military incursions into ungoverned territories and lands engulfed in civil war. Showcasing a variety of examples from the Second Congo War to the Ethiopian-Eritrean conflict, the book offers a rich and accessible examination of military intervention on the continent.

Foreign military intervention has had a profound impact on post-colonial African history and politics. Interventions have destabilized borderlands, overthrown governments, and taken a devastating toll on populations. Emizet F. Kisangani and Jeffrey Pickering advance a new theoretical framework and combine quantitative, qualitative, and historical methods to shed fresh light on these important but understudied events. Their detailed analysis brings understanding to supportive and hostile interventions and to interventions by former colonial states, non-colonial foreign actors, and African countries. Kisangani and Pickering also analyse military incursions into ungoverned territories and lands engulfed in civil war. Showcasing a variety of examples from the Second Congo War to the Ethiopian-Eritrean conflict, the book offers a rich and accessible examination of military intervention on the continent.

While resistance to international courts is not new, what is new, or at least newly conceptualized, is the politics of backlash against these institutions. Saving the International Justice Regime: Beyond Backlash against International Courts is at the forefront of this new conceptualization of backlash politics. It brings together theories, concepts and methods from the fields of international law, international relations, human rights and political science and case studies from around the globe to pose - and answer - three questions related to backlash against international courts: What is backlash and what forms does it take? Why do states and elites engage in backlash against international human rights and criminal courts? What can stakeholders and supporters of international justice do to meet these contemporary challenges?

While resistance to international courts is not new, what is new, or at least newly conceptualized, is the politics of backlash against these institutions. Saving the International Justice Regime: Beyond Backlash against International Courts is at the forefront of this new conceptualization of backlash politics. It brings together theories, concepts and methods from the fields of international law, international relations, human rights and political science and case studies from around the globe to pose - and answer - three questions related to backlash against international courts: What is backlash and what forms does it take? Why do states and elites engage in backlash against international human rights and criminal courts? What can stakeholders and supporters of international justice do to meet these contemporary challenges?

This modern and self-contained book offers a clear and accessible introduction to the important topic of machine learning with neural networks. In addition to describing the mathematical principles of the topic, and its historical evolution, strong connections are drawn with underlying methods from statistical physics and current applications within science and engineering. Closely based around a well-established undergraduate course, this pedagogical text provides a solid understanding of the key aspects of modern machine learning with artificial neural networks, for students in physics, mathematics, and engineering. Numerous exercises expand and reinforce key concepts within the book and allow students to hone their programming skills. Frequent references to current research develop a detailed perspective on the state-of-the-art in machine learning research.

Using Bishop's work on constructive analysis as a framework, this monograph gives a systematic, detailed and general constructive theory of probability theory and stochastic processes. It is the first extended account of this theory: almost all of the constructive existence and continuity theorems that permeate the book are original. It also contains results and methods hitherto unknown in the constructive and nonconstructive settings. The text features logic only in the common sense and, beyond a certain mathematical maturity, requires no prior training in either constructive mathematics or probability theory. It will thus be accessible and of interest, both to probabilists interested in the foundations of their speciality and to constructive mathematicians who wish to see Bishop's theory applied to a particular field.

Understand multiphase flows using multidisciplinary knowledge in physical principles, modelling theories, and engineering practices. This essential text methodically introduces the important concepts, governing mechanisms, and state-of-the-art theories, using numerous real-world applications, examples, and problems. Covers all major types of multiphase flows, including gas-solid, gas-liquid (sprays or bubbling), liquid-solid, and gas-solid-liquid flows. Introduces the volume-time-averaged transport theorems and associated Lagrangian-trajectory modelling and Eulerian-Eulerian multi-fluid modelling. Explains typical computational techniques, measurement methods and four representative subjects of multiphase flow systems. Suitable as a reference for engineering students, researchers, and practitioners, this text explores and applies fundamental theories to the analysis of system performance using a case-based approach.

The rapid development of artificial intelligence technology in medical data analysis has led to the concept of radiomics. This book introduces the essential and latest technologies in radiomics, such as imaging segmentation, quantitative imaging feature extraction, and machine learning methods for model construction and performance evaluation, providing invaluable guidance for the researcher entering the field. It fully describes three key aspects of radiomic clinical practice: precision diagnosis, the therapeutic effect, and prognostic evaluation, which make radiomics a powerful tool in the clinical setting.This book is a very useful resource for scientists and computer engineers in machine learning and medical image analysis, scientists focusing on antineoplastic drugs, and radiologists, pathologists, oncologists, as well as surgeons wanting to understand radiomics and its potential in clinical practice.

This textbook bypasses the need for advanced mathematics by providing in-text computer code, allowing students to explore Bayesian data analysis without the calculus background normally considered a prerequisite for this material. Now, students can use the best methods without needing advanced mathematical techniques. This approach goes beyond “frequentist” concepts of p-values and null hypothesis testing, using the full power of modern probability theory to solve real-world problems. The book offers a fully self-contained course, which demonstrates analysis techniques throughout with worked examples crafted specifically for students in the behavioral and neural sciences. The book presents two general algorithms that help students solve the measurement and model selection (also called “hypothesis testing”) problems most frequently encountered in real-world applications.

This textbook bypasses the need for advanced mathematics by providing in-text computer code, allowing students to explore Bayesian data analysis without the calculus background normally considered a prerequisite for this material. Now, students can use the best methods without needing advanced mathematical techniques. This approach goes beyond “frequentist” concepts of p-values and null hypothesis testing, using the full power of modern probability theory to solve real-world problems. The book offers a fully self-contained course, which demonstrates analysis techniques throughout with worked examples crafted specifically for students in the behavioral and neural sciences. The book presents two general algorithms that help students solve the measurement and model selection (also called “hypothesis testing”) problems most frequently encountered in real-world applications.

This book explains how actions and inactions arise and change in social contexts, including social media and face-to-face communication. Its multidisciplinary perspective covers research from psychology, communication, public health, business studies, and environmental sciences. The reader can use this cutting-edge approach to design and interpret effects of behavioral change interventions as well as replicate the materials and methods implemented to study them. The author provides an organized set of principles that take the reader from the formation of attitudes and goals, to the structure of action and inaction. It also reflects on how cognitive processes explain excesses of action while inaction persists elsewhere. This practical guide summarises the best practices persuasion and behavioral interventions to promote changes in health, consumer, and social behaviors.

This unique textbook provides an introduction to statistical inference with network data. The authors present a self-contained derivation and mathematical formulation of methods, review examples, and real-world applications, as well as provide data and code in the R environment that can be customised. Inferential network analysis transcends fields, and examples from across the social sciences are discussed (from management to electoral politics), which can be adapted and applied to a panorama of research. From scholars to undergraduates, spanning the social, mathematical, computational and physical sciences, readers will be introduced to inferential network models and their extensions. The exponential random graph model and latent space network model are paid particular attention and, fundamentally, the reader is given the tools to independently conduct their own analyses.

This unique textbook provides an introduction to statistical inference with network data. The authors present a self-contained derivation and mathematical formulation of methods, review examples, and real-world applications, as well as provide data and code in the R environment that can be customised. Inferential network analysis transcends fields, and examples from across the social sciences are discussed (from management to electoral politics), which can be adapted and applied to a panorama of research. From scholars to undergraduates, spanning the social, mathematical, computational and physical sciences, readers will be introduced to inferential network models and their extensions. The exponential random graph model and latent space network model are paid particular attention and, fundamentally, the reader is given the tools to independently conduct their own analyses.

Comic book superstar Tom King teams with acclaimed artist Lee Weeks for a collection of memorable and unique Batman stories!Superstar comic book writer Tom King teams with one of the industry's most respected artists, Lee Weeks, to take on pop culture's greatest hero, Batman!This collection includes Cold Days, as Bruce Wayne gets jury duty--for a court case involving Mr. Freeze! Will the evidence cause Batman to rethink his methods? In Knightmares, Batman chases a new foe who outsmarts him at every turn--is it someone more familiar to the Dark Knight than even he suspects? And in the Eisner Award-nominated Batman/Elmer Fudd Special, Batman ends up in the Looney Tunes character's crosshairs, in a story you never expected!

The first English translation of Li Bozhong's pioneering study An Early Modern Economy in China uses sophisticated analysis to reconstruct the GDP of the Yangzi Delta. In this innovative economic history, Li provides a basis for understanding the Delta's economy, an area of unprecedented growth in modern times. Using quantitative research Li carefully reconstructs the economies of the region, combining three methods for estimating GDP: output, income, and expenditure. The result reveals the structure and level of income and production in this highly commercialized and urbanized part of China, establishing a benchmark for future reconstructions of regional economies through GDP. This is a landmark text in the field of economic history which has had a great impact on understanding Chinese economic history in global perspective.