Methods of Nonlinear Analysis

Sara Nofri combines several research methods (multilingual bibliographic research, quantitative content analysis, semiotic text analysis, interviews to journalists) and a cross-cultural, interdiscipli

The American presidency has long tested the capacity of the system of checks and balances to constrain executive power, especially in times of war. While scholars have examined presidents starting military conflicts without congressional authorization or infringing on civil liberties in the name of national security, Stuart Streichler focuses on the conduct of hostilities. Using the treatment of war-on-terror detainees under President George W. Bush as a case study, he integrates international humanitarian law into a constitutional analysis of the repercussions of presidential war powers for human rights around the world.Putting President Bush’s actions in a wider context, Presidential Accountability in Wartime begins with a historical survey of the laws of war, with particular emphasis on the 1949 Geneva Conventions and the Nuremberg Tribunal. Streichler then reconstructs the decision-making process that led to the president’s approval of interrogation methods that violated Geneva’s m

A. W. F. Edwards is one of the most influential mathematical geneticists in the history of the discipline. One of the last students of R. A. Fisher, Edwards pioneered the statistical analysis of phylogeny in collaboration with L. L. Cavalli-Sforza, and helped establish Fisher's concept of likelihood as a standard of statistical and scientific inference. In this book, edited by philosopher of science Rasmus Grønfeldt Winther, Edwards's key papers are assembled alongside commentaries by leading scientists, discussing Edwards's influence on their own research and on thinking in their field overall. In an extensive interview with Winther, Edwards offers his thoughts on his contributions, their legacy, and the context in which they emerged. This book is a resource both for anyone interested in the history and philosophy of genetics, statistics, and science, and for scientists seeking to develop new algorithmic and statistical methods for understanding the genetic relationships between and a

The book gives an introduction to networked control systems and describes new modeling paradigms, analysis methods for event-driven, digitally networked systems, and design methods for distributed est

How fast is evolution, and why does it matter? The rate of evolution, and whether it is gradual or punctuated, is a hotly debated topic among biologists and paleontologists. This book compiles and compares examples of evolution from laboratory, field, and fossil record studies, analyzing them to extract their underlying rates. It concludes that while change is slow when averaged over many generations, on a generation-to-generation time scale, evolution is rapid. Chapters cover the history of evolutionary studies, from Lamarck and Darwin in the nineteenth century to the present day. An overview of the statistics of variation, dynamics of random walks, processes of natural selection and random drift, and effects of scale and time averaging are also provided, along with methods for the analysis of evolutionary time series. Containing case studies and worked examples, this book is ideal for advanced students and researchers in paleontology, biology, and anthropology.

This introductory 2005 text on air-breathing jet propulsion focuses on the basic operating principles of jet engines and gas turbines. Previous coursework in fluid mechanics and thermodynamics is elucidated and applied to help the student understand and predict the characteristics of engine components and various types of engines and power gas turbines. Numerous examples help the reader appreciate the methods and differing, representative physical parameters. A capstone chapter integrates the text material into a portion of the book devoted to system matching and analysis so that engine performance can be predicted for both on- and off-design conditions. The book is designed for advanced undergraduate and first-year graduate students in aerospace and mechanical engineering. A basic understanding of fluid dynamics and thermodynamics is presumed. Although aircraft propulsion is the focus, the material can also be used to study ground- and marine-based gas turbines and turbomachinery and

Insects counteract infection by a variety of reactions, partly humoral but principally cellular. This monograph considers their cellular reactions, especially the phagocytosis of micro-organisms and the encapsulation of larger parasites, from two main points of view: parasitological and cytologica. The first aspect involves description of the reactions and of their effects on parasites. This part of the subject is basic to the biological control of insect pests, because a better understanding of cellular defence reactions could lead to improved methods of using insect parasites to human advantage. The second aspect involves analysis of the stimuli that evoke cellular reactions. This part of the monograph attempts to relate the defensive activities of insect blood cells to general problems of cytology, such as the recognition of foreign bodies, the aggregation of cells and their adhesion to foreign surfaces and their extreme flattening on each other as they form capsules. Two final chap

Matters of Opinion offers an interesting insight into 'public opinion' as reported in the media, asking where these opinions actually come from, and how they have their effects. Drawing on the analysis of conversations from focus groups, phone-ins and broadcast interviews with members of the public, Greg Myers argues that we must go back to these encounters, asking questions such as what members of the public thought they were being asked, who they were talking as, and whom they were talking to. He reveals that people don't carry a store of opinions, ready to tell strangers; they use opinions in order to get along with other people, and how they say things is as important as what they say. Engaging and informative, this book illuminates debates on research methods, the public sphere and deliberative democracy, on broadcast talk, and on what it means to participate in public life.

This introductory 2005 text on air-breathing jet propulsion focuses on the basic operating principles of jet engines and gas turbines. Previous coursework in fluid mechanics and thermodynamics is elucidated and applied to help the student understand and predict the characteristics of engine components and various types of engines and power gas turbines. Numerous examples help the reader appreciate the methods and differing, representative physical parameters. A capstone chapter integrates the text material into a portion of the book devoted to system matching and analysis so that engine performance can be predicted for both on- and off-design conditions. The book is designed for advanced undergraduate and first-year graduate students in aerospace and mechanical engineering. A basic understanding of fluid dynamics and thermodynamics is presumed. Although aircraft propulsion is the focus, the material can also be used to study ground- and marine-based gas turbines and turbomachinery and

This book takes a holistic approach to reliability engineering for electrical and electronic systems by looking at the failure mechanisms, testing methods, failure analysis, characterisation technique

This book describes newly developed methods of assessing the autonomic nervous system. Up-to-date information on microneurographic analysis of human cardiovascular and thermoregulatory function in hum

Reliability and Maintainability of In-Service Pipelines helps engineers understand the best structural analysis methods and more accurately predict the life of their pipeline assets. Expanded to cover

This volume contains selected papers in three closely related areas: mathematical modeling in mechanics, numerical analysis, and optimization methods. The papers are based upon talks presented on the

This systematic exploration of real-world stress analysis has been completely updated to reflect state-of-the-art methods and applications now used in aeronautical, civil, and mechanical engineering,

This book provides a detailed description of fast boundary element methods, all based on rigorous mathematical analysis. In particular, the authors use a symmetric formulation of boundary integral eq

This monograph presents theoretical methods involving the Hamilton–Jacobi–Bellman formalism in conjunction with set-valued techniques of nonlinear analysis to solve significant problems in dynamics an

Characters in the Second Gospel are analysed and an in-depth look at different approaches currently employed by scholars working with literary and reader-oriented methods of analysis is provided. The

Characters in the Second Gospel are analysed and an in-depth look at different approaches currently employed by scholars working with literary and reader-oriented methods of analysis is provided. The

Research into social systems is challenging due to their complex nature. Traditional methods of analysis are often difficult to apply effectively as theories evolve over time. This can be due to a lac

This title is part of a series that aims to present timely, scholarly work on multiple levels of analysis, multi-level theory, research, and methods. The focus is on 'critical essays', theoretical wor

In the summer of 2014 leading experts in the theory of water waves gathered at the Newton Institute for Mathematical Sciences in Cambridge for four weeks of research interaction. A cross-section of those experts was invited to give introductory-level talks on active topics. This book is a compilation of those talks and illustrates the diversity, intensity, and progress of current research in this area. The key themes that emerge are numerical methods for analysis, stability and simulation of water waves, transform methods, rigorous analysis of model equations, three-dimensionality of water waves, variational principles, shallow water hydrodynamics, the role of deterministic and random bottom topography, and modulation equations. This book is an ideal introduction for PhD students and researchers looking for a research project. It may also be used as a supplementary text for advanced courses in mathematics or fluid dynamics.

Human resource departments increasingly use the statistical analysis of performance indicators as a way of demonstrating their contribution to organizational performance. In this book, Steve Fleetwood and Anthony Hesketh take issue with this 'scientific' approach by arguing that its preoccupation with statistical analysis is misplaced because it fails to take account of the complexities of organizations and the full range of issues that influence individual performance. The book is split into three parts. Part I deconstructs research into the alleged link between people and business performance by showing that it cannot explain the associations it alleges. Part II attributes these shortcomings to the importation of spurious 'scientific' methods, before going on to suggest more appropriate methods that might be used in future. Finally, Part III explores how HR executives and professionals understand their work and shows how a critical realist stance adds value to this understanding thro

This compact course is written for the mathematically literate reader who wants to learn to analyze data in a principled fashion. The language of mathematics enables clear exposition that can go quite deep, quite quickly, and naturally supports an axiomatic and inductive approach to data analysis. Starting with a good grounding in probability, the reader moves to statistical inference via topics of great practical importance – simulation and sampling, as well as experimental design and data collection – that are typically displaced from introductory accounts. The core of the book then covers both standard methods and such advanced topics as multiple testing, meta-analysis, and causal inference.

This compact course is written for the mathematically literate reader who wants to learn to analyze data in a principled fashion. The language of mathematics enables clear exposition that can go quite deep, quite quickly, and naturally supports an axiomatic and inductive approach to data analysis. Starting with a good grounding in probability, the reader moves to statistical inference via topics of great practical importance – simulation and sampling, as well as experimental design and data collection – that are typically displaced from introductory accounts. The core of the book then covers both standard methods and such advanced topics as multiple testing, meta-analysis, and causal inference.

This book is an introduction to the study of mathematical models of electrically active cells, which play an essential role in, for example, nerve conduction and cardiac functions. This is an important and vigorously researched field. In the book, Dr Cronin synthesizes and reviews this material and provides a detailed discussion of the Hodgkin-Huxley model for nerve conduction, which forms the cornerstone of this body of work. Her treatment includes a derivation of the Hodgkin-Huxley model, which is a system of four nonlinear differential equations; a discussion of the validity of this model; and a summary of some of the mathematical analysis carried out on this model. Special emphasis is placed on singular perturbation theory, and arguments, both mathematical and physiological, for using the perturbation viewpoint are presented.

This book is an introduction to the study of mathematical models of electrically active cells, which play an essential role in, for example, nerve conduction and cardiac functions. This is an important and vigorously researched field. In the book, Dr Cronin synthesizes and reviews this material and provides a detailed discussion of the Hodgkin-Huxley model for nerve conduction, which forms the cornerstone of this body of work. Her treatment includes a derivation of the Hodgkin-Huxley model, which is a system of four nonlinear differential equations; a discussion of the validity of this model; and a summary of some of the mathematical analysis carried out on this model. Special emphasis is placed on singular perturbation theory, and arguments, both mathematical and physiological, for using the perturbation viewpoint are presented.

A number of new approaches to the subject of international cooperation were developed in the 1980s. As a result, further questions have arisen, particularly with regard to the methods and limits of cooperation and the relationship between cooperation and the debate over multilateralism. International Cooperation considers these questions, identifies further areas for research, and pushes the analysis of this fundamental concept in international relations in new directions. Its two parts address the historic roots and modern development of the notion of cooperation, and the strategies used to achieve it, with a conclusion that reaches beyond international relations into new disciplinary avenues. This edited collection incorporates historical research, social and economic analysis and political and evolutionary game theory.

Terence Mills' best-selling graduate textbook provides detailed coverage of research techniques and findings relating to the empirical analysis of financial markets. In its previous editions it has become required reading for many graduate courses on the econometrics of financial modelling. This third edition, co-authored with Raphael Markellos, contains a wealth of material reflecting the developments of the last decade. Particular attention is paid to the wide range of nonlinear models that are used to analyse financial data observed at high frequencies and to the long memory characteristics found in financial time series. The central material on unit root processes and the modelling of trends and structural breaks has been substantially expanded into a chapter of its own. There is also an extended discussion of the treatment of volatility, accompanied by a new chapter on nonlinearity and its testing.

This book sets out a generative structuralist conception of general theoretical sociology; its philosophy, its problems, and its methods. The field is defined as a comprehensive research tradition with many intersecting subtraditions that share conceptual components. The focus is on formalization and unification as processes that can help advance the state of theory today. An integrative philosophy of the field is set out in terms of a process worldview, with a focus on generativity in explanation and a conception of the structure of theories as hierarchical meaning control systems. This philosophy is implemented in two phases. In the first phase, Professor Fararo defines the core problems of theoretical sociology in the context of setting out and illustrating the logic of a nonlinear dynamical social systems framework. A critical analysis of the outcome of this phase then leads, in the second phase, to formal treatments of action principles and structural analysis. A variety of tradit

Continuum mechanics studies the foundations of deformable body mechanics from a mathematical perspective. It also acts as a base upon which other applied areas such as solid mechanics and fluid mechanics are developed. This book discusses some important topics, which have come into prominence in the latter half of the twentieth century, such as material symmetry, frame-indifference and thermomechanics. The study begins with the necessary mathematical background in the form of an introduction to tensor analysis followed by a discussion on kinematics, which deals with purely geometrical notions such as strain and rate of deformation. Moving on to derivation of the governing equations, the book also presents applications in the areas of linear and nonlinear elasticity. In addition, the volume also provides a mathematical explanation to the axioms and laws of deformable body mechanics, and its various applications in the field of solid mechanics.

A founding member of the Jesuit order, Francis Xavier (1506–1552) travelled as a missionary to India, Japan and China in the mid-sixteenth century. He is traditionally associated with legends of miraculous works and the conversion of tens of thousands of people. This controversial 1862 biography by the Anglican missionary clergyman Henry Venn (1796–1873) uses Xavier's own words to examine the future saint's character and private thoughts. Xavier's correspondence reveals a sensitive, energetic and occasionally vengeful man who was not averse to employing aggressive means. Containing numerous letters printed in full, Venn's chronicle provides an analysis of Xavier's mission, methods and achievements from a non-Catholic perspective. Venn also explores Xavier's close friendship with the Jesuits' founder Ignatius Loyola, and probes the facts behind previous biographers' tales of miracles. The book ends with a detailed and challenging appraisal of the overall success of the worldwide Roman C

This textbook is ideal for a course in engineering systems dynamics and controls. The work is a comprehensive treatment of the analysis of lumped parameter physical systems. Starting with a discussion of mathematical models in general, and ordinary differential equations, the book covers input/output and state space models, computer simulation and modeling methods and techniques in mechanical, electrical, thermal and fluid domains. Frequency domain methods, transfer functions and frequency response are covered in detail. The book concludes with a treatment of stability, feedback control (PID, lead-lag, root locus) and an introduction to discrete time systems. This new edition features many new and expanded sections on such topics as: solving stiff systems, operational amplifiers, electrohydraulic servovalves, using Matlab with transfer functions, using Matlab with frequency response, Matlab tutorial and an expanded Simulink tutorial. The work has 40% more end-of-chapter exercises and 3

This textbook is ideal for a course in engineering systems dynamics and controls. The work is a comprehensive treatment of the analysis of lumped parameter physical systems. Starting with a discussion of mathematical models in general, and ordinary differential equations, the book covers input/output and state space models, computer simulation and modeling methods and techniques in mechanical, electrical, thermal and fluid domains. Frequency domain methods, transfer functions and frequency response are covered in detail. The book concludes with a treatment of stability, feedback control (PID, lead-lag, root locus) and an introduction to discrete time systems. This new edition features many new and expanded sections on such topics as: solving stiff systems, operational amplifiers, electrohydraulic servovalves, using Matlab with transfer functions, using Matlab with frequency response, Matlab tutorial and an expanded Simulink tutorial. The work has 40% more end-of-chapter exercises and 3

An important problem in computational biology is identifying short DNA sequences (mathematically, 'words') associated to a biological function. One approach consists in determining whether a particular word is simply random or is of statistical significance, for example, because of its frequency or location. This book introduces the mathematical and statistical ideas used in solving this so-called exceptional word problem. It begins with a detailed description of the principal models used in sequence analysis: Markovian models are central here and capture compositional information on the sequence being analysed. There follows an introduction to several statistical methods that are used for finding exceptional words with respect to the model used. The second half of the book is illustrated with numerous examples provided from the analysis of bacterial genomes, making this a practical guide for users facing a real situation and needing to make an adequate procedure choice.

Written for maximum flexibility, this best-selling junior level mechanics text is easily adaptable to any length--one- or two-semester--or focus of course.LAGRANGIAN and HAMILTONIAN DYNAMICS are introduced early in the text.This text has an entire chapter on NONLINEAR METHODS.NUMERICAL METHODS PROBLEMS are included for students to solve using a computer.

In this book Craig, Kinney and their collaborators confront the main unsolved mysteries in Shakespeare's canon through computer analysis of Shakespeare's and other writers' styles. In some cases their analysis confirms the current scholarly consensus, bringing long-standing questions to something like a final resolution. In other areas the book provides more surprising conclusions: that Shakespeare wrote the 1602 additions to The Spanish Tragedy, for example, and that Marlowe along with Shakespeare was a collaborator on Henry VI, Parts 1 and 2. The methods used are more wholeheartedly statistical, and computationally more intensive, than any that have yet been applied to Shakespeare studies. The book also reveals how word patterns help create a characteristic personal style. In tackling traditional problems with the aid of the processing power of the computer, harnessed through computer science, and drawing upon large amounts of data, the book is an exemplar of the new domain of digita

In this book Craig, Kinney and their collaborators confront the main unsolved mysteries in Shakespeare's canon through computer analysis of Shakespeare's and other writers' styles. In some cases their analysis confirms the current scholarly consensus, bringing long-standing questions to something like a final resolution. In other areas the book provides more surprising conclusions: that Shakespeare wrote the 1602 additions to The Spanish Tragedy, for example, and that Marlowe along with Shakespeare was a collaborator on Henry VI, Parts 1 and 2. The methods used are more wholeheartedly statistical, and computationally more intensive, than any that have yet been applied to Shakespeare studies. The book also reveals how word patterns help create a characteristic personal style. In tackling traditional problems with the aid of the processing power of the computer, harnessed through computer science, and drawing upon large amounts of data, the book is an exemplar of the new domain of digita

The essays in this volume represent a wide range of approaches to one of the most popular of all American novels. Michael Bell re-examines the crucial issue of romanticism versus realism in the book. Janet McKay discusses the linguistic subtleties of the novel, showing the social implications inherent in Twain's brilliant use of the vernacular. Lee Mitchell draws on post-structuralist theories to question Huck's own assumption that words themselves can represent the social world. Steven Mailloux combines sociopolitical perspectives and the methods of contemporary 'reader-response' analysis to identify how humour is generated in Huckleberry Finn and to enrich our understanding of the novel's topical impact.

Risk control and derivative pricing have become of major concern to financial institutions, and there is a real need for adequate statistical tools to measure and anticipate the amplitude of the potential moves of the financial markets. Summarising theoretical developments in the field, this 2003 second edition has been substantially expanded. Additional chapters now cover stochastic processes, Monte-Carlo methods, Black-Scholes theory, the theory of the yield curve, and Minority Game. There are discussions on aspects of data analysis, financial products, non-linear correlations, and herding, feedback and agent based models. This book has become a classic reference for graduate students and researchers working in econophysics and mathematical finance, and for quantitative analysts working on risk management, derivative pricing and quantitative trading strategies.

How to think about, conduct, and evaluate research is fundamental to the study and understanding of criminology and criminal justice. Students take methods, statistics, theory, and topic-specific classes, but they struggle to integrate what they learn and to see how it fits within the broader field of criminology and criminal justice research. This book directly tackles this problem by helping students to develop a 'researcher sensibility', and demonstrates how the 'nuts and bolts' of criminal justice research - including research design, theory, data, and analysis - are and can be combined. Relying on numerous real-world examples and illustrations, this book reveals how anyone can 'think like a researcher'. It reveals, too, why that ability is critical for being a savvy producer or consumer of criminological and criminal justice research.