Methods of Nonlinear Analysis

A one-stop guide for public health students and practitioners learning regression analysis and statistical methods This book is written for public health professionals and students interested in apply

Methods of risk analysis and the outcome of particular evaluations and predictions are covered in detail in this proceedings volume, whose contributions are based on invited presentations from Profess

This book presents a detailed discussion of important solid-state properties of pharmaceutical materials, as well as methods of solid-state analysis, such as X-Ray powder diffraction, microscopy, infr

The use of isoconversional kinetic methods for analysis of thermogravimetric and calorimetric data on thermally stimulated processes is quickly growing in popularity. The purpose of this book is to cr

The problem of stochastic control of partially observable systems plays an important role in many applications. All real problems are in fact of this type, and deterministic control as well as stochastic control with full observation can only be approximations to the real world. This justifies the importance of having a theory as complete as possible, which can be used for numerical implementation. This book first presents those problems under the linear theory that may be dealt with algebraically. Later chapters discuss the nonlinear filtering theory, in which the statistics are infinite dimensional and thus, approximations and perturbation methods are developed.

In the past few decades, methods of linear algebra have become central to economic analysis, replacing older tools such as the calculus. David Gale has provided the first complete and lucid treatment

By means of a cross-cultural analysis of selected examples of early Japanese and early Greek drama, Mae Smethurst enhances our appreciation of each form. While using the methods of a classicist to inc

By means of a cross-cultural analysis of selected examples of early Japanese and early Greek drama, Mae Smethurst enhances our appreciation of each form. While using the methods of a classicist to inc

When this volume was first published, in 1969, plastic theory was the most modern method of structural analysis, and it made possible the direct design of steel frames in a way not available with only elastic methods. It is now recognized that this theory is also fundamental to structural design in materials such as reinforced concrete and aluminium. This is the first volume of a two-volume work by Professors Baker and Heyman that expounds and illustrates the methods of plastic design. Volume 1 gives the elements of the theory and covers the needs of most undergraduates and designers. A special feature of this work is the large number of exercises (140 in all) with answers. Volume 2 deals with advanced topics of theoretical analysis and practical design. The examples and the methods presented herein are extremely valuable to the engineer. The quality of the writing makes Professors Baker and Heyman's book a pleasure to read.

In modern society, economic growth is considered to be the primary goal pursued through policymaking. But when and how did this perception become widely adopted among social scientists, politicians and the general public? Focusing on the OECD, one of the least understood international organisations, Schmelzer offers the first transnational study to chart the history of growth discourses. He reveals how the pursuit of GDP growth emerged as a societal goal and the ways in which the methods employed to measure, model and prescribe growth resulted in statistical standards, international policy frameworks and widely accepted norms. Setting his analysis within the context of capitalist development, post-war reconstruction, the Cold War, decolonization, and industrial crisis, The Hegemony of Growth sheds new light on the continuous reshaping of the growth paradigm up to the neoliberal age and adds historical depth to current debates on climate change, inequality and the limits to growth.

In modern society, economic growth is considered to be the primary goal pursued through policymaking. But when and how did this perception become widely adopted among social scientists, politicians and the general public? Focusing on the OECD, one of the least understood international organisations, Schmelzer offers the first transnational study to chart the history of growth discourses. He reveals how the pursuit of GDP growth emerged as a societal goal and the ways in which the methods employed to measure, model and prescribe growth resulted in statistical standards, international policy frameworks and widely accepted norms. Setting his analysis within the context of capitalist development, post-war reconstruction, the Cold War, decolonization, and industrial crisis, The Hegemony of Growth sheds new light on the continuous reshaping of the growth paradigm up to the neoliberal age and adds historical depth to current debates on climate change, inequality and the limits to growth.

Data, methods and theories of contemporary social science can be applied to resolve how political outcomes in democratic societies determine the quality of life that citizens experience. Radcliff seeks to provide an objective answer to the debate between left and right over what public policies best contribute to people leading positive and rewarding lives. Radcliff offers an empirical answer, relying on the same canons of reason and evidence required of any other issue amenable to study through social-scientific means. The analysis focuses on the consequences of three specific political issues: the welfare state and the general size of government, labor organization, and state efforts to protect workers and consumers through economic regulation. The results indicate that in each instance, the program of the Left best contributes to citizens leading more satisfying lives and, critically, that the benefits of greater happiness accrue to everyone in society, rich and poor alike.

Data, methods and theories of contemporary social science can be applied to resolve how political outcomes in democratic societies determine the quality of life that citizens experience. Radcliff seeks to provide an objective answer to the debate between left and right over what public policies best contribute to people leading positive and rewarding lives. Radcliff offers an empirical answer, relying on the same canons of reason and evidence required of any other issue amenable to study through social-scientific means. The analysis focuses on the consequences of three specific political issues: the welfare state and the general size of government, labor organization, and state efforts to protect workers and consumers through economic regulation. The results indicate that in each instance, the program of the Left best contributes to citizens leading more satisfying lives and, critically, that the benefits of greater happiness accrue to everyone in society, rich and poor alike.

This second edition presents the advances made in finance market analysis since 2005. The book provides a careful introduction to stochastic methods along with approximate ensembles for a single, historic time series. The new edition explains the history leading up to the biggest economic disaster of the 21st century. Empirical evidence for finance market instability under deregulation is given, together with a history of the explosion of the US Dollar worldwide. A model shows how bounds set by a central bank stabilized FX in the gold standard era, illustrating the effect of regulations. The book presents economic and finance theory thoroughly and critically, including rational expectations, cointegration and arch/garch methods, and replaces several of those misconceptions by empirically based ideas. This book will be of interest to finance theorists, traders, economists, physicists and engineers, and leads the reader to the frontier of research in time series analysis.

Originally delivered in November 1915 as a series of lectures at the University of Cambridge, this close textual analysis of Shakespeare overturned the conventional methods of Shakespearean bibliography. In this careful study, Pollard, a bibliographer and literary scholar, called into question the long-held assumption that the early Quartos were of little bibliographical value because of the errors, mis-spellings and mis-lineations. By emphasizing the efforts made to impede printing piracy in early modern England, Pollard argued that the Quartos are much closer to Shakespeare's manuscripts than previous scholarship had allowed. Pollard, along with J. Dover Wilson, W. W. Greg and R. B. McKerrow, was instrumental in establishing the theoretical framework of New Bibliography, and on its publication the book was greeted with what is described in the introduction as 'friendly controversy'. First published in 1915, the book was revised for republication in 1920. This reissue is of the 1967 r

This is a graduate text surveying both the theoretical and experimental aspects of chaotic behaviour. Over the course of the past two decades it has been discovered that relatively simple, deterministic, nonlinear mathematical models that describe dynamic phenomena in various physical, chemical, biological and other systems yield solutions which are aperiodic and depend very sensitively on the initial conditions. This phenomenon is known as deterministic chaos. The authors present chaos as a model of many seemingly random processes in nature. Basic notions from the theory of dynamical systems and bifurcation theory, together with the properties of chaotic solutions, are then described and are illustrated by examples. A review of the numerical methods used both in studies of mathematical models and in the interpretation of experimental data is also provided.

This practical introduction to stochastic reaction-diffusion modelling is based on courses taught at the University of Oxford. The authors discuss the essence of mathematical methods which appear (under different names) in a number of interdisciplinary scientific fields bridging mathematics and computations with biology and chemistry. The book can be used both for self-study and as a supporting text for advanced undergraduate or beginning graduate-level courses in applied mathematics. New mathematical approaches are explained using simple examples of biological models, which range in size from simulations of small biomolecules to groups of animals. The book starts with stochastic modelling of chemical reactions, introducing stochastic simulation algorithms and mathematical methods for analysis of stochastic models. Different stochastic spatio-temporal models are then studied, including models of diffusion and stochastic reaction-diffusion modelling. The methods covered include molecula

This practical introduction to stochastic reaction-diffusion modelling is based on courses taught at the University of Oxford. The authors discuss the essence of mathematical methods which appear (under different names) in a number of interdisciplinary scientific fields bridging mathematics and computations with biology and chemistry. The book can be used both for self-study and as a supporting text for advanced undergraduate or beginning graduate-level courses in applied mathematics. New mathematical approaches are explained using simple examples of biological models, which range in size from simulations of small biomolecules to groups of animals. The book starts with stochastic modelling of chemical reactions, introducing stochastic simulation algorithms and mathematical methods for analysis of stochastic models. Different stochastic spatio-temporal models are then studied, including models of diffusion and stochastic reaction-diffusion modelling. The methods covered include molecula

Interventional radiological techniques are becoming increasingly important in the treatment of both primary and secondary malignant liver tumours. Surgery for liver tumours can be effective but carries considerable risks and new techniques have recently been developed. This volume provides an account of interventional radiological methods by some of the greatest experts in the field. It includes chapters on cryotherapy, chemoembolization and radiofrequency ablation and an extensive chapter on imaging techniques. The scientific background of these techniques, the pathology of the diseases involved and an analysis of more traditional surgical methods are also described. This text brings together the latest advances in this fast-developing field.

Originally published in 1949, as part of the Cambridge Monographs on Physics series, this book acts as a response to J. K. Roberts' 1939 work Some Problems in Adsorption. A. R. Miller applies newer statistical methods of analysis to update Roberts' explanations and take previously overlooked elements into consideration. This volume will be of value to anyone with an interest in adsorption and the history of science.

This book examines the economic bases of regional sovereignty movements in the Russian Federation from 1990–1993. The analysis is based on an original data set of Russian regional sovereignty movements and the author employs a variety of methods including quantitative statistical analysis, as well as qualitative case studies of Sverdlovsk and Samara oblasts using systematic content analysis of local newspaper articles. The central finding of the book is that variation in Russian regional activism is explained not by differences in economic conditions but by differences in the construction or imagination of economic interests; to put it in the language of other contemporary debates, economic advantage and disadvantage are as imagined as nations. In arguing that regional economic interests are inter-subjective, contingent, and institutionally specific, the book addresses a major question in political economy, namely the origin of economic interests. In addition, by engaging the national

This book examines the economic bases of regional sovereignty movements in the Russian Federation from 1990–1993. The analysis is based on an original data set of Russian regional sovereignty movements and the author employs a variety of methods including quantitative statistical analysis, as well as qualitative case studies of Sverdlovsk and Samara oblasts using systematic content analysis of local newspaper articles. The central finding of the book is that variation in Russian regional activism is explained not by differences in economic conditions but by differences in the construction or imagination of economic interests; to put it in the language of other contemporary debates, economic advantage and disadvantage are as imagined as nations. In arguing that regional economic interests are inter-subjective, contingent, and institutionally specific, the book addresses a major question in political economy, namely the origin of economic interests. In addition, by engaging the national

Taking a different approach from standard thousand-page reference-style control textbooks, Fundamentals of Linear Control provides a concise yet comprehensive introduction to the analysis and design of feedback control systems in fewer than 400 pages. The text focuses on classical methods for dynamic linear systems in the frequency domain. The treatment is, however, modern and the reader is kept aware of contemporary tools and techniques, such as state space methods and robust and nonlinear control. Featuring fully worked design examples, richly illustrated chapters, and an extensive set of homework problems and examples spanning across the text for gradual challenge and perspective, this textbook is an excellent choice for senior-level courses in systems and control or as a complementary reference in introductory graduate level courses. The text is designed to appeal to a broad audience of engineers and scientists interested in learning the main ideas behind feedback control theory.

Modeling, Control and Coordination of Helicopter Systems provides a comprehensive treatment of helicopter systems, ranging from related nonlinear flight dynamic modeling and stability analysis to adva

Modeling, Control and Coordination of Helicopter Systems provides a comprehensive treatment of helicopter systems, ranging from related nonlinear flight dynamic modeling and stability analysis to adva

Covering detailed discussion of fundamental concepts of economics, the textbook commences with comprehensive explanation of theory of consumer behavior, utility maximization and optimal choice, profit function, cost minimization and cost function. The textbook covers methods including present worth method, future worth method, annual worth method, internal rate of return method, explicit re-investment rate of return method and payout method useful for studying economic studies. A chapter on value engineering discusses important topics such as function analysis systems techniques, the value index, value measurement techniques, innovative phase and constraints analysis in depth. It facilitates the understanding of the concepts through illustrations and solved problems. This text is the ideal resource for Indian undergraduate engineering students in the fields of mechanical engineering, computer science and engineering and electronics engineering for a course on engineering economics/engi

The control of vibrating systems is a significant issue in the design of aircraft, spacecraft, bridges and high-rise buildings. This 2001 book discusses the control of vibrating systems, integrating structural dynamics, vibration analysis, modern control and system identification. Integrating these subjects is an important feature in that engineers will need only one book, rather than several texts or courses, to solve vibration control problems. The book begins with a review of basic mathematics needed to understand subsequent material. Chapters then cover more recent and valuable developments in aerospace control and identification theory, including virtual passive control, observer and state-space identification, and data-based controller synthesis. Many practical issues and applications are addressed, with examples showing how various methods are applied to real systems. Some methods show the close integration of system identification and control theory from the state-space perspec

The control of vibrating systems is a significant issue in the design of aircraft, spacecraft, bridges and high-rise buildings. This 2001 book discusses the control of vibrating systems, integrating structural dynamics, vibration analysis, modern control and system identification. Integrating these subjects is an important feature in that engineers will need only one book, rather than several texts or courses, to solve vibration control problems. The book begins with a review of basic mathematics needed to understand subsequent material. Chapters then cover more recent and valuable developments in aerospace control and identification theory, including virtual passive control, observer and state-space identification, and data-based controller synthesis. Many practical issues and applications are addressed, with examples showing how various methods are applied to real systems. Some methods show the close integration of system identification and control theory from the state-space perspec

Originally published in 1985, this monograph describes the interaction of radiation with plasma. Using an approach that is particularly relevant to the interpretation of data from laboratory plasmas or stellar atmospheres, the author sets out the physics and mathematics of the interaction of photons with atoms, molecules, ions and electrons. The emphasis throughout is on relating the formal mathematics to the real world of observable properties and interpretation. The equation of radiative transfer for a two-level atom is solved exactly by two distinct methods. Techniques for solving more realistic problems are then presented. This leads to the main thrust of the book which gives a detailed analysis of the matter - radiation interaction.

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.

Part of a resurgence in the comparative study of ancient societies, this book presents a variety of methods and approaches to comparative analysis through the examination of wide-ranging case studies. Each chapter is a comparative study, and the diverse topics and regions covered in the book contribute to the growing understanding of variation and change in ancient complex societies. The authors explore themes ranging from urbanization and settlement patterns, to the political strategies of kings and chiefs, to the economic choices of individuals and households. The case studies cover an array of geographical settings, from the Andes to Southeast Asia. The authors are leading archaeologists whose research on early empires, states, and chiefdoms is at the cutting edge of scientific archaeology.

Part of a resurgence in the comparative study of ancient societies, this book presents a variety of methods and approaches to comparative analysis through the examination of wide-ranging case studies. Each chapter is a comparative study, and the diverse topics and regions covered in the book contribute to the growing understanding of variation and change in ancient complex societies. The authors explore themes ranging from urbanization and settlement patterns, to the political strategies of kings and chiefs, to the economic choices of individuals and households. The case studies cover an array of geographical settings, from the Andes to Southeast Asia. The authors are leading archaeologists whose research on early empires, states, and chiefdoms is at the cutting edge of scientific archaeology.

Computer vision aims to detect and reconstruct features of surfaces from the images produced by cameras, in some way mimicking the way in which humans reconstruct features of the world around them by using their eyes. In this book the authors describe research in computer vision aimed at recovering the 3D shape of surfaces from image sequences of their 'outlines'. They provide all the necessary background in differential geometry (assuming knowledge of elementary algebra and calculus) and in the analysis of visual motion, emphasising intuitive visual understanding of the geometric techniques with computer-generated illustrations. They also give a thorough introduction to the mathematical techniques and the details of the implementations and apply the methods to data from real images using the most current techniques.

Computer vision aims to detect and reconstruct features of surfaces from the images produced by cameras, in some way mimicking the way in which humans reconstruct features of the world around them by using their eyes. In this book the authors describe research in computer vision aimed at recovering the 3D shape of surfaces from image sequences of their 'outlines'. They provide all the necessary background in differential geometry (assuming knowledge of elementary algebra and calculus) and in the analysis of visual motion, emphasising intuitive visual understanding of the geometric techniques with computer-generated illustrations. They also give a thorough introduction to the mathematical techniques and the details of the implementations and apply the methods to data from real images using the most current techniques.

D. B. Fry has edited a basic course of readings on the acoustics of speech. The collection includes all the important classical papers in the field. It is carefully structured to present the student with a coherent picture of the relations between language units and the corresponding sound-waves and to explain the laws that govern these relations. He includes extracts which explain the generation of sound-waves by the speech-mechanism, the methods of acoustic analysis of speech, and the operation of the sound spectograph (with excerpts from the first published accounts of the instrument). The volume also illustrates the contribution to the general study of language made by research on speech perception. There are accounts of speech synthesis, and of experiments on rhythm, intonation and the perception of acoustic cues.

With great potential benefit and possible harm, online social media platforms are transforming human society. Based on decades of deep exploration, distinguished scholar William Sims Bainbridge surveys our complex virtual society, harvesting insights about the future of our real world. Many pilot studies demonstrate valuable research methods and explanatory theories. Tracing membership interlocks between Facebook groups can chart the structure of a social movement, like the one devoted to future spaceflight development. Statistical data on the roles played by people in massively multiplayer online games illustrate the Silicon Law: information technology energizes both freedom and control, in a dynamic balance. The significance of open-source software suggests the traditional distinction between professional and amateur may fade, whereas web-based conflicts between religious and political groups imply that chasms are opening in civil society. This analysis of online space and the diverg

This up-to-date, superbly illustrated book is a practical guide to the effective use of neuroimaging in the patient with sleep disorders. There are detailed reviews of new neuroimaging techniques – including CT, MRI, advanced MR techniques, SPECT and PET – as well as image analysis methods, their roles and pitfalls. Neuroimaging of normal sleep and wake states is covered plus the role of neuroimaging in conjunction with tests of memory and how sleep influences memory consolidation. Each chapter carefully presents and analyzes the key findings in patients with sleep disorders indicating the clinical and imaging features of the various sleep disorders from clinical presentation to neuroimaging, aiding in establishing an accurate diagnosis. Written by neuroimaging experts from around the world, Neuroimaging of Sleep and Sleep Disorders is an invaluable resource for both researchers and clinicians including sleep specialists, neurologists, radiologists, psychiatrists, psychologists.

This pioneering book is based upon very extensive analysis of the famous 1851 Census of Religious Worship and earlier sources such as the 1676 Compton Census. The authors stress contextual and regional understanding of religion. Among the subjects covered for all of England and Wales are the geography of the Church of England, Roman Catholicism, the old and new dissenting denominations, the spatial complementarity of denominations, and their importance for political history. A range of further questions are then analysed, such as regional continuities in religion, the growth of religious pluralism, Sunday schools and child labour during industrialisation, free and appropriated church sittings, landownership and religion, and urbanisation and regional 'secularisation'. This book's advanced methods and findings will have far-reaching influence within the disciplines of history, historical and cultural geography, religious sociology and in the social science community general.

This pioneering book is based upon very extensive analysis of the famous 1851 Census of Religious Worship and earlier sources such as the 1676 Compton Census. The authors stress contextual and regional understanding of religion. Among the subjects covered for all of England and Wales are the geography of the Church of England, Roman Catholicism, the old and new dissenting denominations, the spatial complementarity of denominations, and their importance for political history. A range of further questions are then analysed, such as regional continuities in religion, the growth of religious pluralism, Sunday schools and child labour during industrialisation, free and appropriated church sittings, landownership and religion, and urbanisation and regional 'secularisation'. This book's advanced methods and findings will have far-reaching influence within the disciplines of history, historical and cultural geography, religious sociology and in the social science community general.