Methods of Nonlinear Analysis

Scenarios are a widely used approach to aid strategic analysis. An innovative guide to new methods in scenario thinking, this book presents a detailed step-by-step account of the “intuitive logics” me

In psychiatry, as in many other medical disciplines, training is shifting from an emphasis on testing factual knowledge towards a system based on continuing assessment and the acquisition of practical skills and competencies. Workplace Based Assessments in Psychiatric Training describes current approaches to these new assessment systems around the world, provides practical advice regarding their implementation and makes recommendations for future developments. The book opens with an overview and analysis of methods of workplace based assessments, followed by a review of the trainee assessment from the patient perspective. Chapters contain in-depth, detailed discussion of recent developments in Canada, Denmark, India, the UK and the USA. The book reviews both technical developments in assessment tools and techniques and the socio-political context within which these have taken place. With a practical focus and unique global perspective, this is a 'must buy' for anyone responsible for th

Mechanism design is an analytical framework for thinking clearly and carefully about what exactly a given institution can achieve when the information necessary to make decisions is dispersed and privately held. This analysis provides an account of the underlying mathematics of mechanism design based on linear programming. Three advantages characterize the approach. The first is simplicity: arguments based on linear programming are both elementary and transparent. The second is unity: the machinery of linear programming provides a way to unify results from disparate areas of mechanism design. The third is reach: the technique offers the ability to solve problems that appear to be beyond solutions offered by traditional methods. No claim is made that the approach advocated should supplant traditional mathematical machinery. Rather, the approach represents an addition to the tools of the economic theorist who proposes to understand economic phenomena through the lens of mechanism design.

Many geological features of the Earth's lithosphere create variations in the Earth's magnetic field that can be detected by satellites. The resulting magnetic anomaly maps can provide insights into the tectonic features and broad structures of the lithosphere. This book, which was originally published in 1998, documents the acquisition, reduction and analysis of satellite magnetic field data in the study of the Earth's lithosphere. The text considers issues of interpreting data, summarises various interpretation methods, considers rock magnetism concepts and sources of variation in magnetism, and provides a summary of published maps and the various methods used to create them. Mapping and interpreting lithospheric fields from satellite magnetic data has resulted in the sub-discipline of geomagnetism. Advanced students and researchers will find this book to be of interest.

Systematically reading Jewish exegesis in light of Homeric scholarship, this book argues that more than 2000 years ago Alexandrian Jews developed critical and literary methods of Bible interpretation which are still extremely relevant today. Maren R. Niehoff provides a detailed analysis of Alexandrian Bible interpretation, from the second century BCE through newly discovered fragments to the exegetical work done by Philo. Niehoff shows that Alexandrian Jews responded in a great variety of ways to the Homeric scholarship developed at the Museum. Some Jewish scholars used the methods of their Greek colleagues to investigate whether their Scripture contained myths shared by other nations, while others insisted that significant differences existed between Judaism and other cultures. This book is vital for any student of ancient Judaism, early Christianity and Hellenistic culture.

This book details methods for evaluating parental involvement in a child’s education. It offers an evidence-based model for parental participation and an analysis of key interpersonal skills for effec

Fourier Series in Several Variables with Applications to Partial Differential Equations illustrates the value of Fourier series methods in solving difficult nonlinear partial differential equations (P

The only method of circuit analysis known to most engineers and students is nodal or loop analysis. Although this works well for obtaining numerical solutions, it is almost useless for obtaining analytical solutions in all but the simplest cases. In this unusual 2002 book, Vorpérian describes remarkable alternative techniques to solve, almost by inspection, complicated linear circuits in symbolic form and obtain meaningful analytical answers for any transfer function or impedance. Although not intended to replace traditional computer-based methods, these techniques provide engineers with a powerful set of tools for tackling circuit design problems. They also have great value in enhancing students' understanding of circuit operation, making this an ideal course book, and numerous problems and worked examples are included. Originally developed by Professor David Middlebrook and others at Caltech (California Institute of Technology), the techniques described here are now widely taught at

Analysing Variation in English brings together a range of perspectives on the collection, analysis and broader relevance of variable language data. In the first half of the book, the focus is firmly on the description and comparison of methods for collecting and analysing examples of variation in language. Novel quantitative and computational methods are introduced and exemplified alongside more traditional approaches. The innovative second half of the book establishes and tests the relevance of language variation to other aspects of linguistics such as language change, and to other disciplines such as law and education. Each chapter concludes with a 'Where next?' section, providing guidance on further reading, but also pointers to under-researched areas, designed to help identify good topics for projects and dissertations. Designed to be used by students as well as researchers, the book will be welcomed by those working in English language and linguistics, sociolinguistics or language

Writing for advanced undergraduate or beginning graduate students of finance, Lim (Singapore Management U.) introduces financial valuation and financial data analysis using econometric methods. There

Modeling atmospheric processes in order to forecast the weather or future climate change is an extremely complex and computationally intensive undertaking. One of the main difficulties is that there are a huge number of factors that need to be taken into account, some of which are still poorly understood. The Factor Separation (FS) method is a computational procedure that helps deal with these nonlinear factors. In recent years many scientists have applied FS methodology to a range of modeling problems, including paleoclimatology, limnology, regional climate change, rainfall analysis, cloud modeling, pollution, crop growth, and other forecasting applications. This book is the first to describe the fundamentals of the method, and to bring together its many applications in the atmospheric sciences. The main audience is researchers and graduate students using the FS method, but it is also of interest to advanced students, researchers, and professionals across the atmospheric sciences.

This concise, self-contained and cohesive book focuses on commonly used and recently developed methods for designing and analyzing high-throughput screening (HTS) experiments from a statistically sound basis. Combining ideas from biology, computing and statistics, the author explains experimental designs and analytic methods that are amenable to rigorous analysis and interpretation of RNAi HTS experiments. The opening chapters are carefully presented to be accessible both to biologists with training only in basic statistics and to computational scientists and statisticians with basic biological knowledge. Biologists will see how new experiment designs and rudimentary data-handling strategies for RNAi HTS experiments can improve their results, whereas analysts will learn how to apply recently developed statistical methods to interpret HTS experiments.

To what extent do courts in Latin America protect individual rights and limit governments? This volume answers these fundamental questions by bringing together today's leading scholars of judicial politics. Drawing on examples from Argentina, Brazil, Chile, Mexico, Colombia, Costa Rica and Bolivia, the authors demonstrate that there is widespread variation in the performance of Latin America's constitutional courts. In accounting for this variation, the contributors push forward ongoing debates about what motivates judges; whether institutions, partisan politics and public support shape inter-branch relations; and the importance of judicial attitudes and legal culture. The authors deploy a range of methods, including qualitative case studies, paired country comparisons, statistical analysis and game theory.

This book focuses on three important methods of polymer analysis: light scattering, size exclusion chromatography (SEC) and asymmetric flow field flow fractionation (A4F). These methods are important

Currently the methods of Soft Computing are successfully used for risk analysis in: budgeting, e-commerce development, portfolio selection, Black-Scholes option pricing models, corporate acquisition s

At the intersection of metabolite analysis, metabolic fingerprinting, and metabolomics, the study of metabolic profiling has evolved steadily over the course of time as have the methods and technologi

Maoz views the evolution of international relations over the last two centuries as a set of interacting, cooperative and conflicting networks of states. The networks that emerged are the result of national choice processes about forming or breaking ties with other states. States are constantly concerned with their security and survival in an anarchic world. Their security concerns stem from their external environment and their past conflicts. Because many of them cannot ensure their security by their own power, they need allies to balance against a hostile international environment. The alliance choices made by states define the structure of security cooperation networks and spill over into other cooperative networks, including trade and institutions. Maoz tests his theory by applying social networks analysis (SNA) methods to international relations. He offers a novel perspective as a system of interrelated networks that co-evolve and interact with one another.

The partial differential equations that govern scalar and vector fields are the very language used to model a variety of phenomena in solid mechanics, fluid flow, acoustics, heat transfer, electromagnetism and many others. A knowledge of the main equations and of the methods for analyzing them is therefore essential to every working physical scientist and engineer. Andrea Prosperetti draws on many years' research experience to produce a guide to a wide variety of methods, ranging from classical Fourier-type series through to the theory of distributions and basic functional analysis. Theorems are stated precisely and their meaning explained, though proofs are mostly only sketched, with comments and examples being given more prominence. The book structure does not require sequential reading: each chapter is self-contained and users can fashion their own path through the material. Topics are first introduced in the context of applications, and later complemented by a more thorough present

The partial differential equations that govern scalar and vector fields are the very language used to model a variety of phenomena in solid mechanics, fluid flow, acoustics, heat transfer, electromagnetism and many others. A knowledge of the main equations and of the methods for analyzing them is therefore essential to every working physical scientist and engineer. Andrea Prosperetti draws on many years' research experience to produce a guide to a wide variety of methods, ranging from classical Fourier-type series through to the theory of distributions and basic functional analysis. Theorems are stated precisely and their meaning explained, though proofs are mostly only sketched, with comments and examples being given more prominence. The book structure does not require sequential reading: each chapter is self-contained and users can fashion their own path through the material. Topics are first introduced in the context of applications, and later complemented by a more thorough present

Maoz views the evolution of international relations over the last two centuries as a set of interacting, cooperative and conflicting networks of states. The networks that emerged are the result of national choice processes about forming or breaking ties with other states. States are constantly concerned with their security and survival in an anarchic world. Their security concerns stem from their external environment and their past conflicts. Because many of them cannot ensure their security by their own power, they need allies to balance against a hostile international environment. The alliance choices made by states define the structure of security cooperation networks and spill over into other cooperative networks, including trade and institutions. Maoz tests his theory by applying social networks analysis (SNA) methods to international relations. He offers a novel perspective as a system of interrelated networks that co-evolve and interact with one another.

Developments in trade marks law have called into question a variety of basic features, as well as bolder extensions, of legal protection. Other disciplines can help us think about fundamental issues such as: what is a trade mark? What does it do? What should be the scope of its protection? This volume assembles essays examining trade marks and brands from a multiplicity of fields: from business history, marketing, linguistics, legal history, philosophy, sociology and geography. Each chapter pairs lawyers' and non-lawyers' perspectives, so that each commentator addresses and critiques his or her counterpart's analysis. The perspectives of non-legal fields are intended to enrich legal academics' and practitioners' reflections about trade marks, and to expose lawyers, judges and policy-makers to ideas, concepts and methods that could prove to be of particular importance in the development of positive law.

The Lévy Laplacian is an infinite-dimensional generalization of the well-known classical Laplacian. The theory has become well developed in recent years and this book was the first systematic treatment of the Lévy–Laplace operator. The book describes the infinite-dimensional analogues of finite-dimensional results, and more especially those features which appear only in the generalized context. It develops a theory of operators generated by the Lévy Laplacian and the symmetrized Lévy Laplacian, as well as a theory of linear and nonlinear equations involving it. There are many problems leading to equations with Lévy Laplacians and to Lévy–Laplace operators, for example superconductivity theory, the theory of control systems, the Gauss random field theory, and the Yang–Mills equation. The book is complemented by an exhaustive bibliography. The result is a work that will be valued by those working in functional analysis, partial differential equations and probability theory.

For nearly nineteen hundred years, few have questioned the single authorship of Luke and Acts. A careful reassessment of the internal and external evidence, however, reveals this assumption to be built on a shakier foundation than was previously thought. Patricia Walters's innovative study offers a statistical analysis of Luke and Acts, pointing to the existence of highly significant differences in their prose style. In particular, a comprehensive survey and re-examination of the two books' least contested authorial stratum - their seams and summaries - brings to light ancient prose compositional patterns that distinguish Luke and Acts beyond a reasonable doubt. Walters's application of statistical analysis is unique in biblical scholarship, and will provide impetus for using similar methods in other areas of the field. This book will therefore be of great interest to academic researchers and students of early Christianity, classical literature and rhetoric, and New Testament studies.

The book unifies classical continuum mechanics and turbulence modeling, i.e. the same fundamental concepts are used to derive model equations for material behaviour and turbulence closure and compleme

There has been much excitement over the emergence of new mathematical techniques for the analysis and control of nonlinear systems. In addition, great technological advances have bolstered the impact

The book's comprehensive coverage on the application of econometric methods to empirical analysis of economic issues is impressive. It uncovers the missing link between textbooks on economic theory an

This highly accessible introduction to the prosody and analysis of everyday conversation explains basic concepts and methods of interpretation using a wealth of examples from real-life conversations.

Hands-on experts from academia and industry comprehensively describe how to successfully perform all the critical HPLC techniques needed for the analysis of peptides and proteins. The methods range fr

A state-of-the-art collection of readily reproducible laboratory methods for DNA identity analysis, including Y chromosome haplotyping, mtDNA, and SNP typing. The book offers well-tested protocols for

Originally published in 2005, this unique resource presents 27 easy-to-follow laboratory exercises for use in student practical classes in developmental biology. These experiments provide key insights into developmental questions, and many of them are described by the leaders in the field who carried out the original research. This book intends to bridge the gap between experimental work and the laboratory classes taken at the undergraduate and post-graduate levels. All chapters follow the same format, taking the students from materials and methods, through results and discussion, so that they learn the underlying rationale and analysis employed in the research. The book will be an invaluable resource for graduate students and instructors teaching practical developmental biology courses. Chapters include teaching concepts, discussion of the degree of difficulty of each experiment, potential sources of failure, as well as the time required for each experiment to be carried out in a clas

Soft condensed matter physics relies on a fundamental understanding at the interface between physics, chemistry, biology, and engineering for a host of materials and circumstances that are related to, but outside, the traditional definition of condensed matter physics. Featuring contributions from leading researchers in the field, this book uniquely discusses both the contemporary experimental and computational manifestations of soft condensed matter systems. From particle tracking and image analysis, novel materials and computational methods, to confocal microscopy and bacterial assays, this book will equip the reader for collaborative and interdisciplinary research efforts relating to a range of modern problems in nonlinear and non-equilibrium systems. It will enable both graduate students and experienced researchers to supplement a more traditional understanding of thermodynamics and statistical systems with knowledge of the techniques used in contemporary investigations. Color vers

Agnes Arber (1879–1960) was a prominent British botanist specialising in plant morphology, who focused her research on the monocotyledon group of flowering plants. She was the first female botanist to be elected a Fellow of the Royal Society, in 1946. This volume, first published as part of the Cambridge Botanical Handbooks series in 1925, provides an anatomical and comparative study of the monocotyledon group of plants with an analysis of the methods and objects of studying plant morphology. At the time of publication, comparative anatomy and morphology were the centre of botanical investigation; however there were differences between British and continental biologists concerning the aims of morphological study. In the introduction to this volume Arber reconciled these views by describing a distinction between pure and applied morphology, interpreting the differences in monocotyledonous species in light of this. The book contains an extensive bibliography and 160 figures.

This in-depth study of the paintings of Willem de Kooning (1904–1997) from the 1940s through the 1970s breaks new ground in its analysis of the artist’s working methods and yields new information abou

Simultaneous confidence bands enable more intuitive and detailed inference of regression analysis than the standard inferential methods of parameter estimation and hypothesis testing. Simultaneous Inf

Up-to-date, comprehensive, and beautifully illustrated, Laboratory Diagnosis in Neurology presents all the measuring parameters and methods relevant to the analysis of cerebrospinal fluid, serum, and

Norton's Complex Variables for Scientists and Engineers is a new textbook, originally written for the Complex Analysis term of an undergraduate Mathematical Methods of Physics sequence at UCLA. It doe

Norton's Complex Variables for Scientists and Engineers is a new textbook, originally written for the Complex Analysis term of an undergraduate Mathematical Methods of Physics sequence at UCLA. It do

This book presents the nonlinear theory of continuum mechanics and demonstrates its use in developing nonlinear computer formulations for large displacement dynamic analysis. Basic concepts used in continuum mechanics are presented and used to develop nonlinear general finite element formulations that can be effectively used in large displacement analysis. The book considers two nonlinear finite element dynamic formulations: a general large deformation finite element formulation and a formulation that can efficiently solve small deformation problems that characterize very stiff structures. The book presents material clearly and systematically, assuming the reader has only basic knowledge in matrix and vector algebra and dynamics. The book is designed for use by advanced undergraduates and first-year graduate students. It is also a reference for researchers, practising engineers, and scientists working in computational mechanics, bio-mechanics, computational biology, multibody system dy

Bayesian Modeling in Bioinformatics discusses the development and application of Bayesian statistical methods for the analysis of high-throughput bioinformatics data arising from problems in molecular

This 2006 book presents a systematic introduction to the theory of parametric stability of structures under both deterministic and stochastic loadings. A comprehensive range of theories are presented and various application problems are formulated and solved, often using more than one approach. Investigation of an elastic system's dynamic stability frequently leads to the study of dynamic behaviour of the solutions of parametrically excited systems. Parametric instability or resonance is more dangerous than ordinary resonance as it is characterised by exponential growth of the response amplitudes even in the presence of damping. The emphasis in this book is on the applications and various analytical and numerical methods for solving engineering problems. The materials presented are as self-contained as possible, with all of the important steps of analysis provided in order to make the book suitable as a graduate-level textbook and especially for self-study.