Methods of Nonlinear Analysis

A comprehensive guide to implementing SAE methods for poverty studies and poverty mappingThere is an increasingly urgent demand for poverty and living conditions data, in relation to local areas and/o

Advances in Quantitative Analysis of Finance and Accounting (New Series) is an annual publication designed to disseminate developments in the quantitative analysis of finance and accounting. The publication is a forum for statistical and quantitative analyses of issues in finance and accounting as well as applications of quantitative methods to problems in financial management, financial accounting, and business management. The objective is to promote interaction between academic research in finance and accounting and applied research in the financial community and the accounting profession.

Written by two leading experts, this is a compact guide to the key tools and methods necessary to carry out cost-benefit analysis (CBA). The authors use modern economic tools to obtain general equilibrium cost-benefit rules that can be used to evaluate small projects, as well as large and even mega projects. Intertemporal issues like discounting, the shadow price of capital, and the treatment of risk are covered, and a state-of-the-art summary of available methods for the valuation of unpriced commodities is also included. In addition, the book provides detailed expositions of the marginal cost of public goods (MCPF), the marginal excess burden of taxes (MEB), and second-best evaluation rules, and shows how these concepts are interrelated. The importance of undertaking due diligence in evaluations is highlighted. This is an excellent toolkit for graduate students learning about the principles of CBA, and is a useful guide for government officials and policymakers.

This concise introduction to the methods and techniques of vector analysis is suitable for college undergraduates in mathematics as well as students of physics and engineering. Rich in exercises and e

This monograph presents recent original work in Numerical Analysis and Fractional Calculus. The chapters are self-contained and can be read independently. An extensive list of references is given per

This proceedings volume provides unique insights into the power of abstract methods and techniques in dealing successfully with a number of applications stemming from classical analysis and mathematic

This book constitutes the thoroughly refereed post-conference proceedings of the 4th IFIP WG 13.6 Working Conference on Human Work Interaction Design, HWID 2015, held in London, UK, in June 2015. The

After fifty years of development and refinement in Transactional Analysis (TA), the theory of methods and the actual methods have changed considerably from what was originally published by Eric Berne.

This volume presents an overview of nonribosomal peptide synthetase (NRPS) and polyketide synthase (PKS) structure and function. It then continues with methods for the analysis of these path

This valuable collection aims to provide a collection of frequently used statistical methods in the field of proteomics. Although there is a large overlap between statistical methods for the different

This 3rd edition is comprised of well-established protocols that are considered the gold standard in the field as well as new methodologies for mitochondrial DNA analysis. ofMitochondrial DNA: Methods

This book focuses on two general purpose approaches to data analysis that work well in practice: weighting and imputation. The book takes a very practical approach to the methods, with a number of dat

This authoritative work provides an in-depth treatment of state space methods, with a range of applications in neural and clinical data. Advanced and state-of-the-art research topics are detailed, including topics in state space analyses, maximum likelihood methods, variational Bayes, sequential Monte Carlo, Markov chain Monte Carlo, nonparametric Bayesian, and deep learning methods. Details are provided on practical applications in neural and clinical data, whether this is characterising time series data from neural spike trains recorded from the rat hippocampus, the primate motor cortex, or the human EEG, MEG or fMRI, or physiological measurements of heartbeats or blood pressures. With real-world case studies of neuroscience experiments and clinical data sets, and written by expert authors from across the field, this is an ideal resource for anyone working in neuroscience and physiological data analysis.

This book is concerned with digital image processing techniques that use partial differential equations (PDEs) for the task of image 'inpainting', an artistic term for virtual image restoration or interpolation, whereby missing or occluded parts in images are completed based on information provided by intact parts. Computer graphic designers, artists and photographers have long used manual inpainting to restore damaged paintings or manipulate photographs. Today, mathematicians apply powerful methods based on PDEs to automate this task. This book introduces the mathematical concept of PDEs for virtual image restoration. It gives the full picture, from the first modelling steps originating in Gestalt theory and arts restoration to the analysis of resulting PDE models, numerical realisation and real-world application. This broad approach also gives insight into functional analysis, variational calculus, optimisation and numerical analysis and will appeal to researchers and graduate studen

This sophisticated package of statistical methods is for advanced master's (MPH) and PhD students in public health and epidemiology who are involved in the analysis of data. It makes the link from statistical theory to data analysis, focusing on the methods and data types most common in public health and related fields. Like most toolboxes, the statistical tools in this book are organized into sections with similar objectives. Unlike most toolboxes, however, these tools are accompanied by complete instructions, explanations, detailed examples, and advice on relevant issues and potential pitfalls - conveying skills, intuition, and experience. The only prerequisite is a first-year statistics course and familiarity with a computing package such as R, Stata, SPSS, or SAS. Though the book is not tied to a particular computing language, its figures and analyses were all created using R. Relevant R code, data sets, and links to public data sets are available from www.cambridge.org/97811071130

Traditional well logging methods, such as resistivity, acoustic, nuclear and NMR, provide indirect information related to fluid and formation properties. The “formation tester,” of

Comprehensive coverage of quantitative investment analysis methods with hands-on practiceQuantitative Investment Analysis, Third Edition is a comprehensive guide to the complex world of investment ana

Brugnano and Iavernaro deal with the numerical solution of differential problems within the framework of geometric integration, a branch of numerical analysis that aims to devise numerical methods abl

This volume provides detailed molecular analysis of the associated pathways and cell types involved in Celiac Disease, and embraces new technologies such as next generation sequencing. The book is div

This book is focused on the nonlinear theoretical and mathematical problems associated with ultrafast intense laser pulse propagation in gases and in particular, in air. With the aim of understanding

Public Administration: Research Strategies, Concepts, and Methods explores how scholars of public administration and institutional politics can improve their analysis by focusing on the contextual par

During the past two decades there has been active interplay between geometric measure theory and Fourier analysis. This book describes part of that development, concentrating on the relationship between the Fourier transform and Hausdorff dimension. The main topics concern applications of the Fourier transform to geometric problems involving Hausdorff dimension, such as Marstrand type projection theorems and Falconer's distance set problem, and the role of Hausdorff dimension in modern Fourier analysis, especially in Kakeya methods and Fourier restriction phenomena. The discussion includes both classical results and recent developments in the area. The author emphasises partial results of important open problems, for example, Falconer's distance set conjecture, the Kakeya conjecture and the Fourier restriction conjecture. Essentially self-contained, this book is suitable for graduate students and researchers in mathematics.

A comprehensive overview of how to scientifically evaluate of traditional Chinese medicines(TCMs), this book covers regulatory requirements, statistical design, and data analysis for studies conducted

«Empirical Methods in Language Studies» presents 22 papers employing a broad range of empirical methods in the analysis of various aspects of language and communication. The individual texts offer con

This book provides a rigorous treatment of spectral analysis using Fourier-based techniques in the geosciences, specifically geodesy and geophysics that deal with global and regional spatial data. It

In this volume, expert researchers detail protocols for evaluating the protean effects of immunosenescence on innate and adaptive immune function, including approaches to the analysis of antigen recep

Metabolic Analysis Using Stable Isotopes, the newest volume in Methods in Enzymology continues the legacy of this premier serial with quality chapters authored by leaders in the field. This volume cov

The Art and Science of Analyzing Software Data: Analysis Patterns provides valuable information on the analysis methods that often transfer between projects, not only the algorithms derived from data

Dialogue in the Book of Signs offers a polyvalent analysis of John 1:19-12:50 at the micro-, meso-, and macro-levels. With the help of several synchronic methods, including genre, narrative, rhetorica

Analyze Repeated Measures Studies Using Bayesian TechniquesGoing beyond standard non-Bayesian books, Bayesian Methods for Repeated Measures presents the main ideas for the analysis of repeated measure

The second edition of this popular book brings students fully up to date with the latest methods and techniques in choice analysis. Comprehensive yet accessible, it offers a unique introduction to anyone interested in understanding how to model and forecast the range of choices made by individuals and groups. In addition to a complete rewrite of several chapters, new topics covered include ordered choice, scaled MNL, generalized mixed logit, latent class models, group decision making, heuristics and attribute processing strategies, expected utility theory, and prospect theoretic applications. Many additional case studies are used to illustrate the applications of choice analysis with extensive command syntax provided for all Nlogit applications and datasets available online. With its unique blend of theory, estimation, and application, this book has broad appeal to all those interested in choice modeling methods and will be a valuable resource for students as well as researchers, profe

The recent appearance of wavelets as a new computational tool in applied mathematics has given a new impetus to the field of numerical analysis of Fredholm integral equations. This book gives an account of the state of the art in the study of fast multiscale methods for solving these equations based on wavelets. The authors begin by introducing essential concepts and describing conventional numerical methods. They then develop fast algorithms and apply these to solving linear, nonlinear Fredholm integral equations of the second kind, ill-posed integral equations of the first kind and eigen-problems of compact integral operators. Theorems of functional analysis used throughout the book are summarised in the appendix. The book is an essential reference for practitioners wishing to use the new techniques. It may also be used as a text, with the first five chapters forming the basis of a one-semester course for advanced undergraduates or beginning graduates.

This book shows how to use a range of critical approaches to do research on terrorism.It includes a diverse range of critical methodological approaches – including discourse analysis, feminist, postco

This book shows how to use a range of critical approaches to do research on terrorism.It includes a diverse range of critical methodological approaches – including discourse analysis, feminist, postco

The main aim of the book is to present new constructive methods of delay differential equation (DDE) theory and to give readers practical tools for analysis, control design and simulating of linear sy

The second edition of this monograph describes the set-theoretic approach for the control and analysis of dynamic systems, both from a theoretical and practical standpoint. This approach is linked to

This authored monograph presents key aspects of signal processing analysis in the biomedical arena. Unlike wireless communication systems, biological entities produce signals with underlying nonlinear

In recent years, there has been growing interest in the development and application of quantitative statistical methods to study choices made by individuals. This primer provides an introduction to th

What are the models used in phylogenetic analysis and what exactly is involved in Bayesian evolutionary analysis using Markov chain Monte Carlo (MCMC) methods? How can you choose and apply these models, which parameterisations and priors make sense, and how can you diagnose Bayesian MCMC when things go wrong? These are just a few of the questions answered in this comprehensive overview of Bayesian approaches to phylogenetics. This practical guide: • Addresses the theoretical aspects of the field • Advises on how to prepare and perform phylogenetic analysis • Helps with interpreting analyses and visualisation of phylogenies • Describes the software architecture • Helps developing BEAST 2.2 extensions to allow these models to be extended further. With an accompanying website providing example files and tutorials (http://beast2.org/), this one-stop reference to applying the latest phylogenetic models in BEAST 2 will provide essential guidance for all users – from those using phylogeneti

This fifth edition of Histological and Histochemical Methods continues to provide a clear and consistent introduction to the techniques, description and analysis of the chemical and physical principle