Methods of Nonlinear Analysis

Evolutionary genetics considers the causes of evolutionary change and the nature of variability in evolution. The methods of evolutionary genetics are critically important for the analysis and interpr

A Practical Course in Differential Equations and Mathematical Modelling is a unique blend of the traditional methods of ordinary and partial differential equations with Lie group analysis enriched by

This four volume major reference work covers the main issues, methods of analysis, and alternatives, of causality, including the classic texts applying these alternative concepts and methods to empir

In order to model neuronal behavior or to interpret the results of modeling studies, neuroscientists must call upon methods of nonlinear dynamics. This book offers an introduction to nonlinear dynamic

A major study of some of the central and abiding questions of metaphysics and the philosophy of language by one of the most eminent contemporary German philosophers. Originally published in 1976, it was first translated into English in 1982. Ernst Tugendhat was trained in the Heideggerian modes of phenomenological and hermeneutical thinking. Yet increasingly he came to believe that the most appropriate approach was from within the framework of analytical philosophy. This book grew out of that conviction, and as such it brought a fresh perspective to some of the rarely examined assumptions and methods of analysis. Professor Tugendhat begins by showing how semantic analysis related to such 'traditional' conceptions of philosophy as Aristotle's and Kant's, and the manner in which it treats such 'traditional' problems as being and consciousness. From these considerations he develops a systematic, thorough and original theory of reference, predication and individuation, which make it an inv

Constraints are everywhere: most computational problems can be described in terms of restrictions imposed on the set of possible solutions, and constraint programming is a problem-solving technique that works by incorporating those restrictions in a programming environment. It draws on methods from combinatorial optimisation and artificial intelligence, and has been successfully applied in a number of fields from scheduling, computational biology, finance, electrical engineering and operations research through to numerical analysis. This textbook for upper-division students provides a thorough and structured account of the main aspects of constraint programming. The author provides many worked examples that illustrate the usefulness and versatility of this approach to programming, as well as many exercises throughout the book that illustrate techniques, test skills and extend the text. Pointers to current research, extensive historical and bibliographic notes, and a comprehensive list

Identity Politics in India and Europe combines qualitative methods (20 interviews) with historical and philosophical analysis. The first part of the book discusses the history of perceptions between t

The book deals with modern methods of nonlinear stability theory applied to problems of continuous media mechanics in the presence of interfaces, with applications to materials science, chemical engin

A defining feature of nonlinear hyperbolic equations is the occurrence of shock waves. While the popular shock-capturing methods are easy to implement, shock-fitting techniques provide the most accura

Anthropology is usually associated with the study of society, but the anthropologist must also understand people as individuals. This highly original study demonstrates how methods of social analysis

Despite the thousands of articles and the millions of times that the word 'bubble' has been used in the business press, there still does not appear to be a cohesive theory or persuasive empirical approach with which to study 'bubble' and 'crash' conditions. This book presents a plausible and accessible descriptive theory and empirical approach to the analysis of such financial market conditions. It advances such a framework through application of standard econometric methods to its central idea, which is that financial bubbles reflect urgent short side rationed demand. From this basic idea, an elasticity of variance concept is developed. It is further shown that a behavioral risk premium can probably be measured and related to the standard equity risk premium models in a way that is consistent with conventional theory.

Using real-life applications, this graduate-level textbook introduces different mathematical methods of scientific computation to solve minimization problems using examples ranging from locating an aircraft, finding the best time to replace a computer, analyzing developments on the stock market, and constructing phylogenetic trees. The textbook focuses on several methods, including nonlinear least squares with confidence analysis, singular value decomposition, best basis, dynamic programming, linear programming, and various optimization procedures. Each chapter solves several realistic problems, introducing the modelling optimization techniques and simulation as required. This allows readers to see how the methods are put to use, making it easier to grasp the basic ideas. There are also worked examples, practical notes, and background materials to help the reader understand the topics covered. Interactive exercises are available at www.cambridge.org/9780521849890.

In vivo magnetic resonance spectrosopy (MRS) is increasingly being used in the clinical setting, particularly for neurological disorders. Clinical MR Spectroscopy – Techniques and Applications explains both the underlying physical principles of MRS and provides a perceptive review of clinical MRS applications. Topics covered include an introduction to MRS physics, information content of spectra from different organ systems, spectral analysis methods, recommended protocols and localization techniques, and normal age- and region-related spectral variations in the brain. Clinical applications in the brain are discussed for brain tumors, hypoxic and ischemic injury, infectious, inflammatory and demyelinating diseases, epilepsy, neurodegenerative disorders, trauma and metabolic diseases. Outside of the brain, techniques and applications are discussed for MRS in the musculosketal system, breast and prostate. Written by leading MRS experts, this is an invaluable guide for anyone interested in

Along with its companion volume on intraflagellar transport,?this book provides researchers with?a?comprehensive and up-to-date source?of?methods for the analysis cilia and flagella, ?focusing primari

A guide to using molecular biology and immunological methods for the analysis of food Many of the analytical problems that food chemists face in the lab cannot be solved by chemistry alone, and so an

Along with its companion volume on axonemal dynein-mediated motility,?this book provides researchers with?a?comprehensive and up-to-date source?of?methods for the analysis cilia and flagella, ?focusin

The theory of empirical processes provides valuable tools for the development of asymptotic theory in (nonparametric) statistical models, and makes possible the unified treatment of a number of them. This book reveals the relation between the asymptotic behaviour of M-estimators and the complexity of parameter space. Virtually all results are proved using only elementary ideas developed within the book; there is minimal recourse to abstract theoretical results. To make the results concrete, a detailed treatment is presented for two important examples of M-estimation, namely maximum likelihood and least squares. The theory also covers estimation methods using penalties and sieves. Many illustrative examples are given, including the Grenander estimator, estimation of functions of bounded variation, smoothing splines, partially linear models, mixture models and image analysis. Graduate students and professionals in statistics as well as those with an interest in applications, to such area

This book was first published in 2004. Developments in strategic thinking and econometric methods, alongside fundamental changes in technology and in the nature of competition, argue the need for an in-depth but accessible assessment of the Profit Impact of Marketing Strategy's project. Here, Paul Farris and Michael Moore gather together contributions from experts across the US and Europe to offer a retrospective analysis alongside innovative perspectives on future marketing strategy and performance assessment methods. Appealing to scholars and reflective practitioners interested in fostering practical knowledge about business innovation and changes, this book not only explores ways of thinking about and working with PIMS but also explores the unresolved issues arising from the original data. As the business community renews its attempts to recreate the kind of inter-firm cooperation that produced the PIMS project, sharing many of the ideals, this volume will broadly appeal.

An authoritative, yet accessible, introduction to essential key methods used in the statistical analysis of data in the health sciences Applied Biostatistics for the Health Sciences successfully intr

There is a strong upsurge in the use of Bayesian methods in applied statistical analysis, yet most introductory statistics texts only present frequentist methods. In Bayesian statistics the rules of

In contrast to classical image analysis methods that employ "crisp" mathematics, fuzzy set techniques provide an elegant foundation and a set of rich methodologies for diverse image-processing tasks.

Studying the complex physical systems of stellar jets necessitates the incorporation of nonlinear effects which occur on a wide variety of length and timescales. One of the primary methods used to stu

This book is entirely devoted to the study of children's skeletons from archaeological and forensic contexts. It provides an extensive review of the osteological methods and theoretical concepts of their analysis. Non-adult skeletons provide a wealth of information on the physical and social life of the child from their growth, diet and age at death, to factors that expose them to trauma and disease at different stages of their lives. This book covers the factors that affect non-adult skeletal preservation; the assessment of their age, sex and ancestry; growth and development; infant and child mortality including infanticide; weaning ages and disease of dietary deficiency; skeletal pathology; personal identification and exposure to trauma from birth injuries, accidents and child abuse; providing insights for graduates and postgraduates in osteology, palaeopathology and forensic anthropology.

Focuses on the different methods that economic science has employed in order to detect and measure barriers to entry. This book presents a chronological analysis of competing Harvard and Chicago Schoo

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 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.

Ocean Engineering Mechanics provides an introduction to water waves and wave-structure interactions for fixed and floating bodies. Linear and nonlinear regular waves are thoroughly discussed, and the methods of determining the averaged properties of random waves are presented. With this foundation in wave mechanics, applications to engineering situations in the coastal zone are then presented. This introduction to the coastal engineering aspects of wave mechanics includes an introduction to shore protection. Covered within are also the basics of wave-structure interactions for situations involving ridged structures, compliant structures, and floating bodies in regular and random seas. The final chapters deal with the various analytical methods available for the engineering analyses of wave-induced forces and motions of floating and compliant structures in regular and random seas. An introduction to the soil-structure interactions is also included. The book can be used for both introduc

Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of th

This book provides an in-depth analysis of selected methods in signal and system theory with applications to problems in communications, stochastic processes and optimal filter theory. The authors tak

Just as each person develops from infancy to adulthood, all interpersonal relationships have a life history that encompasses the changes in how people communicate with each other. This book is about how a relationship transforms itself from one pattern of communication to another. The authors present a unique research method called 'relational-historical research', based on advances in dynamic systems theory in developmental psychology, and qualitative methods in life history research. It rests on three premises: that the developing relationship (not the individual) is the unit of analysis; that change emerges from, but is not entirely constrained by, the patterns of the past; and that the developmental process is best revealed by making frequent observations within a particular case before, during, and after a key developmental transition. Looking specifically at the mother–infant relationship, this is a compelling piece of research that will appeal to an international audience of int

From Picasso's Cubism and Duchamp's readymades to Warhol's silkscreens and Smithson's earthworks, the art of the twentieth century broke completely with earlier artistic traditions. A basic change in the market for advanced art produced a heightened demand for innovation, and young conceptual innovators – from Picasso and Duchamp to Rauschenberg and Warhol to Cindy Sherman and Damien Hirst – responded not only by creating dozens of new forms of art, but also by behaving in ways that would have been incomprehensible to their predecessors. Conceptual Revolutions in Twentieth-Century Art presents the first systematic analysis of the reasons for this discontinuity. David W. Galenson, whose earlier research has changed our understanding of creativity, combines social scientific methods with qualitative analysis to produce a fundamentally new interpretation of modern art that will give readers a far deeper appreciation of the art of the past century, and of today, than is available elsewhere

This book tackles the question: how can an engineer with a powerful finite element program but modest background knowledge of mechanics solve unfamiliar problems? Engineering educators will find this book to be a new and exciting approach to helping students engage with complex ideas. Practising engineers who use finite element methods to solve problems in solids and structures will extend the range of problems they can solve as well as accelerate their learning on new problems. This book's special strengths include: • A thoroughly modern approach to learning and understanding mechanics problems • Comprehensive coverage of a large collection of problems ranging from static to dynamic and from linear to nonlinear, applied to a variety of structures and components • Accompanying software that is sophisticated and versatile and is available for free from the book's website • Ability to complement any standard finite element textbook.

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

From Picasso's Cubism and Duchamp's readymades to Warhol's silkscreens and Smithson's earthworks, the art of the twentieth century broke completely with earlier artistic traditions. A basic change in the market for advanced art produced a heightened demand for innovation, and young conceptual innovators – from Picasso and Duchamp to Rauschenberg and Warhol to Cindy Sherman and Damien Hirst – responded not only by creating dozens of new forms of art, but also by behaving in ways that would have been incomprehensible to their predecessors. Conceptual Revolutions in Twentieth-Century Art presents the first systematic analysis of the reasons for this discontinuity. David W. Galenson, whose earlier research has changed our understanding of creativity, combines social scientific methods with qualitative analysis to produce a fundamentally new interpretation of modern art that will give readers a far deeper appreciation of the art of the past century, and of today, than is available elsewhere

This is the first volume to explore the field of clinical magnetoencephalography (MEG) and magnetic source imaging (MSI), the techniques measuring the magnetic fields generated by neuronal activity in the brain. Describing the empirical knowledge gained during the last two decades, this book will serve as a basis for the training of clinicians and scientists entering this new and exciting field. The book covers the methods for recording MEG and performing MSI in a clinical setting and includes practical examples of data collection and analysis. It explains why MEG should be used in the evaluation and treatment of patients being considered for epilepsy surgery, concluding with a section describing the potential for future applications of these methods. This is essential reading for graduate students in clinical neuroscience, residents in neurology and psychiatry, neuroradiology and neurosurgery, specialists in neurophysiology and epilepsy, and clinicians in a wide range of related brain

This book presents sloshing with marine and land-based applications, with a focus on ship tanks. It also includes the nonlinear multimodal method developed by the authors and an introduction to computational fluid dynamics. Emphasis is also placed on rational and simplified methods, including several experimental results. Topics of special interest include antirolling tanks, linear sloshing, viscous wave loads, damping, and slamming. The book contains numerous illustrations, examples and exercises.

This unparelleled reference synthesizes the methods used in microfacies analysis and details the potential of microfacies in evaluating depositional environments and diagenetic history, and, in partic

Electrical neuroimaging is based on the analysis of brain electrical activity recorded from the human scalp with multichannel EEG. It offers enormous potential for the dynamic mapping of brain functions, and for the non-invasive diagnosis of neurological and psychiatric conditions. This authoritative reference gives a systematic overview of new electrical imaging methods, with a sound introduction to the basics of multichannel recording of EEG and event-related potential (ERP) data, as well as spatio-temporal analysis of the potential fields. The book enables researchers to measure valid data, select and apply appropriate analysis strategies, and avoid the most common mistakes when analyzing and interpreting EEG/ERP data. Importantly, it informs the research communities of the possibilities opened by these space-domain oriented approaches to the analysis of brain electrical activity, and of their potential to offer even more powerful diagnostic techniques when integrated with other cli

Measurement in Fluid Mechanics is an introductory general reference in experimental fluid mechanics, describing both classical and more modern methods for flow visualization and for measuring flow rate, pressure, velocity, temperature, concentration, and wall shear stress. Particularly suitable as a textbook for graduate and advanced undergraduate courses, Measurement in Fluid Mechanics is also a valuable tool for practising engineers and applied scientists. This book is written by a single author, in a consistent and straightforward style, with plenty of clear illustrations, an extensive bibliography, and over 100 suggested exercises. Measurement in Fluid Mechanics also features extensive background materials in system response, measurement uncertainty, signal analysis, optics, fluid mechanical apparatus, and laboratory practices, which shield the reader from having to consult with a large number of primary references. Whether for instructional or reference purposes, this book is a va

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.