Methods of Nonlinear Analysis

This volume presents advanced techniques to modeling markets, with a wide spectrum of topics, including advanced individual demand models, time series analysis, state space models, spatial models, str

Progressive Collapse Analysis of Structures: Numerical Codes and Modelling provides a variety of numerical analysis tools and methods which allow engineers to simulate structural collapse behavior dur

In this volume, expert practitioners present a compilation of methods of functional data analysis (often referred to as “systems biology”) and its applications in drug discovery, medicine, and basic d

The latest edition includes new sections on grounded wye-delta short circuit feedback current and simulation of loop flow. The text illustrates methods that ensure the most accurate results in computa

This is the second of a two-part guide to quantitative analysis using the IBM SPSS Statistics software package; this volume focuses on multivariate statistical methods and advanced forecasting techniq

Mixed effects models, including linear mixed models, generalized linear mixed models, nonlinear mixed effects models, and non-parametric mixed effects models, are complex models by nature; yet, these

Quantitative Methods in Archaeology Using R is the first hands-on guide to using the R statistical computing system written specifically for archaeologists. It shows how to use the system to analyze many types of archaeological data. Part I includes tutorials on R, with applications to real archaeological data showing how to compute descriptive statistics, create tables, and produce a wide variety of charts and graphs. Part II addresses the major multivariate approaches used by archaeologists, including multiple regression (and the generalized linear model); multiple analysis of variance and discriminant analysis; principal components analysis; correspondence analysis; distances and scaling; and cluster analysis. Part III covers specialized topics in archaeology, including intra-site spatial analysis, seriation, and assemblage diversity.

Quantitative Methods in Archaeology Using R is the first hands-on guide to using the R statistical computing system written specifically for archaeologists. It shows how to use the system to analyze many types of archaeological data. Part I includes tutorials on R, with applications to real archaeological data showing how to compute descriptive statistics, create tables, and produce a wide variety of charts and graphs. Part II addresses the major multivariate approaches used by archaeologists, including multiple regression (and the generalized linear model); multiple analysis of variance and discriminant analysis; principal components analysis; correspondence analysis; distances and scaling; and cluster analysis. Part III covers specialized topics in archaeology, including intra-site spatial analysis, seriation, and assemblage diversity.

"This book gives a foundational and comprehensive treatment of large scale nonlinear interconnected systems using T-S fuzzy model approach. The subject of this book is a systematic framework for the s

This text focuses on the use of smoothing methods for developing and estimating differential equations following recent developments in functional data analysis and building on techniques described in

The purpose of this monograph is to describe recent developments in mathematical modeling and mathematical analysis of certain problems arising from cell biology. Cancer cells and their growth via sev

Analytical chemistry studies the various elements that compose matter. It is focused on the separation, identification and subsequent analysis of matter. Case studies presented in this book discuss bo

Decomposition Methods for Differential Equations: Theory and Applications describes the analysis of numerical methods for evolution equations based on temporal and spatial decomposition methods. It co

This introduction to dimensional analysis covers the methods, history and formalisation of the field, and provides physics and engineering applications. Covering topics from mechanics, hydro- and electrodynamics to thermal and quantum physics, it illustrates the possibilities and limitations of dimensional analysis. Introducing basic physics and fluid engineering topics through the mathematical methods of dimensional analysis, this book is perfect for students in physics, engineering and mathematics. Explaining potentially unfamiliar concepts such as viscosity and diffusivity, the text includes worked examples and end-of-chapter problems with answers provided in an accompanying appendix, which help make it ideal for self-study. Long-standing methodological problems arising in popular presentations of dimensional analysis are also identified and solved, making the book a useful text for advanced students and professionals.

This introduction to dimensional analysis covers the methods, history and formalisation of the field, and provides physics and engineering applications. Covering topics from mechanics, hydro- and electrodynamics to thermal and quantum physics, it illustrates the possibilities and limitations of dimensional analysis. Introducing basic physics and fluid engineering topics through the mathematical methods of dimensional analysis, this book is perfect for students in physics, engineering and mathematics. Explaining potentially unfamiliar concepts such as viscosity and diffusivity, the text includes worked examples and end-of-chapter problems with answers provided in an accompanying appendix, which help make it ideal for self-study. Long-standing methodological problems arising in popular presentations of dimensional analysis are also identified and solved, making the book a useful text for advanced students and professionals.

This is the first book to explain how to use key methods in analytical political theory. The methods discussed include contractualism, reflective equilibrium, positive political theory, thought experiments and ideological analysis. Many discussions of political theory methods describe and justify these methods with little or no discussion of their application, emphasizing 'what is' and 'why do' over 'how to'. This book covers all three. Each chapter explains what kinds of problems in political theory might require researchers to use a particular method, the basic principles behind the method being proposed, and an analysis of how to apply it, including concrete principles of good practice. The book thus summarizes methodological ideas, grouped in one place and made accessible to students, and it makes innovative contributions to research methods in analytical political theory.

This is the first book to explain how to use key methods in analytical political theory. The methods discussed include contractualism, reflective equilibrium, positive political theory, thought experiments and ideological analysis. Many discussions of political theory methods describe and justify these methods with little or no discussion of their application, emphasizing 'what is' and 'why do' over 'how to'. This book covers all three. Each chapter explains what kinds of problems in political theory might require researchers to use a particular method, the basic principles behind the method being proposed, and an analysis of how to apply it, including concrete principles of good practice. The book thus summarizes methodological ideas, grouped in one place and made accessible to students, and it makes innovative contributions to research methods in analytical political theory.

This book discusses the increase in number and capacity of wind farms in Germany and how this is affecting birds of prey. Several methods are used to study the behaviour of birds of prey in relation t

This textbook provides students with a solid introduction to the techniques of approximation commonly used in data analysis across physics and astronomy. The choice of methods included is based o

Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension

The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a

This brief presents readers with a summary of classic, modern, and state-of-the-art methods for discovering the roles of entities in networks (including social networks) that range from small to large

The author investigates the Cramer –Lundberg model, collecting the most interesting theorems and methods, which estimate probability of default for a company of insurance business. These offer differe

This reference text, now in its second edition, offers a modern unifying presentation of three basic areas of nonlinear analysis: convex analysis, monotone operator theory, and the fixed point theory

The author has achieved the breakthrough of generalizing the First-Order Theory presented in his previous books, to the efficient computations of arbitrarily high-order sensitivities for nonlinear sys

This book is an introduction to basic functional analysis and operator theory, with an emphasis on Hilbert space methods. The main aim is to develop rigorously the basic notions of functional analysis

Deep Learning for Medical Image Analysis provides a clear understanding of the principles and methods of neural network and deep learning concepts, showing how the algorithms have been applied to medi

The book describes statistical methods in comparative effectiveness research (CER) that address the generation and analysis of new evidence, as well as the synthesis of existing evidence. The book inc

Attention to cultural variation has become an important source of insight in the social, behavioural, and health sciences. Mixed methods research provides an especially sensitive and powerful way to make systematic cross-cultural comparisons, in which qualitative approaches give a window onto cultural meaning and the phenomenological 'feel' of social life, and quantitative methods facilitate hypothesis testing and sophisticated modelling of social and behavioural phenomena. For researchers engaged in cross-cultural projects, this book offers a theory-based approach to integrating 'numbers' and 'text' based on discourse as the originary form of data collection, the method and framework of analysis, and the medium of publication. The book provides concise explanations, targeted examples, step-by-step instructions, and actual analyses of cross-cultural, quantitative survey data and qualitative interview data, with special attention to language(s) and translation as clues to the study of c

This textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of rea

???This volume debuts the new scope of Remote Sensing, which was first defined as the analysis of data collected by sensors that were not in physical contact with the objects under investigation (usin

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.

With over half of the world's population now living in urban areas, the ability to model and understand the structure and dynamics of cities is becoming increasingly valuable. Combining new data with tools and concepts from statistical physics and urban economics, this book presents a modern and interdisciplinary perspective on cities and urban systems. Both empirical observations and theoretical approaches are critically reviewed, with particular emphasis placed on derivations of classical models and results, along with analysis of their limits and validity. Key aspects of cities are thoroughly analyzed, including mobility patterns, the impact of multimodality, the coupling between different transportation modes, the evolution of infrastructure networks, spatial and social organisation, and interactions between cities. Drawing upon knowledge and methods from areas of mathematics, physics, economics and geography, the resulting quantitative description of cities will be of interest to

This book offers an essential introduction to the mathematical theory of compressible viscous fluids. The main goal is to present analytical methods from the perspective of their numerical application

This book examines the processing and analysis of multitemporal remotely sensed images. It features a variety of application examples covering both land and aquatic environments. It will help readers

This volume covers methods for the analysis of extracellular vesicles (EV) that can be applied to isolated EVs from a wide variety of sources. This includes the use of electron microscopy, tunable res

Handbook of Numerical Methods for Hyperbolic Problems explores the changes that have taken place in the past few decades regarding literature in the design, analysis and application of various numeric

This second edition provides updated and expanded chapters covering a broad sampling of useful and current methods in the rapidly developing and expanding field of bioinformatics. Bioinformatics, Volu

This practical book uses a step-by-step analysis of realistic examples to help students understand the theory and code for working with the R statistical language. With a comparison of both well-estab

This volume provides state-of-the-art and novel methods on antibiotic isolation and purification, identification of antimicrobial killing mechanisms, and methods for the analysis and detection of micr