Functional Analysis Methods for Reliability Models

This book concerns the development of novel finite elements for the structural analysis of composite beams and blades. The introduction of material damping is also an important aspect of composite str

Based on course notes from over twenty years of teaching engineering and physical sciences at Michigan Technological University, Tomas Co's engineering mathematics textbook is rich with examples, applications and exercises. Professor Co uses analytical approaches to solve smaller problems to provide mathematical insight and understanding, and numerical methods for large and complex problems. The book emphasises applying matrices with strong attention to matrix structure and computational issues such as sparsity and efficiency. Chapters on vector calculus and integral theorems are used to build coordinate-free physical models with special emphasis on orthogonal co-ordinates. Chapters on ODEs and PDEs cover both analytical and numerical approaches. Topics on analytical solutions include similarity transform methods, direct formulas for series solutions, bifurcation analysis, Lagrange–Charpit formulas, shocks/rarefaction and others. Topics on numerical methods include stability analysis,

The first edition of Analysis for Longitudinal Data has become a classic. Describing the statistical models and methods for the analysis of longitudinal data, it covers both the underlying statistical

The first scientific volume to compile the modern analytical techniques for glass analysis, Modern Methods for Analysing Archaeological and Historical Glass presents an up-to-date description of the p

This volume presents modern numerical methods specifically tailored for the analysis of strongly correlated systems. It also gives the numerical basis for the design of novel materials with functional

The definitive introduction to data analysis in quantitative proteomics.This book provides all the necessary knowledge about mass spectrometry based proteomics methods and computational and statistica

Financial engineers have access to enormous quantities of data but need powerful methods for extracting quantitative information, particularly about volatility and risks. Key features of this textbook

Scott (sociology, Plymouth U., UK) simplifies the techniques of network analysis for those with a limited mathematical background and assesses the relevance of specific mathematical models and measure

The objective of this self-contained book is two-fold. First, the reader is introduced to the modelling and mathematical analysis used in fluid mechanics, especially concerning the Navier-Stokes equ

The book aims to investigate methods and techniques for spatial statistical analysis suitable to model spatial information in support of decision systems. Over the last few years there has been a cons

This text provides a complete introduction to the theory of variational inequalities with emphasis on contact mechanics. It covers existence, uniqueness and convergence results for variational inequalities, including the modelling and variational analysis of specific frictional contact problems with elastic, viscoelastic and viscoplastic materials. New models of contact are presented, including contact of piezoelectric materials. Particular attention is paid to the study of history-dependent quasivariational inequalities and to their applications in the study of contact problems with unilateral constraints. The book fully illustrates the cross-fertilisation between modelling and applications on the one hand and nonlinear mathematical analysis on the other. Indeed, the reader will gain an understanding of how new and nonstandard models in contact mechanics lead to new types of variational inequalities and, conversely, how abstract results concerning variational inequalities can be appli

This text provides students with a solid foundation for understanding data analysis and specific statistical techniques. Focusing on the most current and frequently used statistical methods in today's

Edward F. Vonesh's Generalized Linear and Nonlinear Models for Correlated Data: Theory and Applications Using SAS is devoted to the analysis of correlated response data using SAS, with special emphasi

Modern astronomical research is beset with a vast range of statistical challenges, ranging from reducing data from megadatasets to characterizing an amazing variety of variable celestial objects or testing astrophysical theory. Linking astronomy to the world of modern statistics, this volume is a unique resource, introducing astronomers to advanced statistics through ready-to-use code in the public domain R statistical software environment. The book presents fundamental results of probability theory and statistical inference, before exploring several fields of applied statistics, such as data smoothing, regression, multivariate analysis and classification, treatment of nondetections, time series analysis, and spatial point processes. It applies the methods discussed to contemporary astronomical research datasets using the R statistical software, making it invaluable for graduate students and researchers facing complex data analysis tasks. A link to the author's website for this book ca

This book describes appropriate statistical models that are commonly utilized in neuropsychology. The book discusses such issues as developing normative data for neuropsychological measures, assessing

An up-to-date, rigorous, and lucid treatment of the theory, methods, and applications of regression analysis, and thus ideally suited for those interested in the theory as well as those whose interest

A reference for students, researchers, and environmental professionals, Hydrogeological Conceptual Site Models: Data Analysis and Visualization explains how to develop effective conceptual site models

"Preface Joint models for longitudinal and time-to-event data have become a valuable tool in the analysis of follow-up data. These models are applicable mainly in two settings: First, when focus is in

This text introduces students of mathematics, science, and technology to the methods of applied functional analysis and applied convexity. The three-part treatment consists of roots and extremal probl

The book focuses on the use of inelastic analysis methods for the seismic assessment and design of bridges, for which the work carried out so far, albeit interesting and useful, is nevertheless clearl

Randomized algorithms have become a central part of the algorithms curriculum, based on their increasingly widespread use in modern applications. This book presents a coherent and unified treatment of probabilistic techniques for obtaining high probability estimates on the performance of randomized algorithms. It covers the basic toolkit from the Chernoff–Hoeffding bounds to more sophisticated techniques like martingales and isoperimetric inequalities, as well as some recent developments like Talagrand's inequality, transportation cost inequalities and log-Sobolev inequalities. Along the way, variations on the basic theme are examined, such as Chernoff–Hoeffding bounds in dependent settings. The authors emphasise comparative study of the different methods, highlighting respective strengths and weaknesses in concrete example applications. The exposition is tailored to discrete settings sufficient for the analysis of algorithms, avoiding unnecessary measure-theoretic details, thus making

Exploring Chemical Analysis provides an ideal one-term text for both chemistry majors and non-majors. Its coverage of analytical and problem-solving methods teaches students how to understand analytic

Over the last 20 years, multiscale methods and wavelets have revolutionized the field of applied mathematics by providing an efficient means of encoding isotropic phenomena. Directional multiscale sys

Compact Models and Measurement Techniques for High-Speed Interconnects provides detailed analysis of issues related to high-speed interconnects from the perspective of modeling approaches and measurem

In this volume Silvio Cruschina uses a comparative analysis to determine the syntax of the functional projections associated with discourse-related features, and to account for the marked word orders

In this volume Silvio Cruschina uses a comparative analysis to determine the syntax of the functional projections associated with discourse-related features, and to account for the marked word orders

Continued refinement of wide-spread access to transgenic technology has allowed for new animal models have been developed that exhibit features of autoimmune disease have been developed that exhibit f

This volume presents a mathematical development of a recent approach to the modeling and simulation of turbulent flows based on methods for the approximate solution of inverse problems. The resulting

Computer scientists, software engineers, and related professionals explore methods for maintaining and revising a model that was devised to develop software after the software itself has been released

This book provides a comprehensive political, economic, and historical analysis of the events and circumstances from the 1920s to 2010 that impacted the rise of today’s “Global Capitalist Crises,” Glo

This book provides a comprehensive political, economic, and historical analysis of the events and circumstances from the 1920s to 2010 that impacted the rise of today’s “Global Capitalist Crises,” Glo

Event history analysis is an umbrella term for a set of procedures for time series analysis. Event history models focus on the hazard function, which has to do with the probabilities that an event wil

Revised and?updated, this second edition of Walter Gautschi's successful Numerical Analysis?explores?computational methods?for problems arising in the areas of classical analysis, approximation theory

The most recent methods and strategies for the elucidation of protein and peptide structures, e.g. sensitive techniques for the analysis of primary structure and amino acid sequences as well as second

This book continues from where the authors' previous book, Structural Proof Theory, ended. It presents an extension of the methods of analysis of proofs in pure logic to elementary axiomatic systems and to what is known as philosophical logic. A self-contained brief introduction to the proof theory of pure logic is included that serves both the mathematically and philosophically oriented reader. The method is built up gradually, with examples drawn from theories of order, lattice theory and elementary geometry. The aim is, in each of the examples, to help the reader grasp the combinatorial behaviour of an axiom system, which typically leads to decidability results. The last part presents, as an application and extension of all that precedes it, a proof-theoretical approach to the Kripke semantics of modal and related logics, with a great number of new results, providing essential reading for mathematical and philosophical logicians.

Qualitative Research Methods - collection, organization, and analysis strategies This text shows novice researchers how to design, collect, and analyze qualitative data and then present their re

The book addresses software design issues related to methods for the analysis of construction engineering by means of modern CAD (computer-aided design) systems and provides validation for their use.

'What's going to happen next?' Time series data hold the answers, and Bayesian methods represent the cutting edge in learning what they have to say. This ambitious book is the first unified treatment of the emerging knowledge-base in Bayesian time series techniques. Exploiting the unifying framework of probabilistic graphical models, the book covers approximation schemes, both Monte Carlo and deterministic, and introduces switching, multi-object, non-parametric and agent-based models in a variety of application environments. It demonstrates that the basic framework supports the rapid creation of models tailored to specific applications and gives insight into the computational complexity of their implementation. The authors span traditional disciplines such as statistics and engineering and the more recently established areas of machine learning and pattern recognition. Readers with a basic understanding of applied probability, but no experience with time series analysis, are guided fro

This book aims to explain the variation in the models of economic liberalization across Ibero-America in the last quarter of the twentieth century, and the legacies they produced for the current organization of the political economies. Although the macroeconomics of effective market adjustment evolved in a similar way, the patterns of compensation delivered by neoliberal governments and the type of actors in business and the working class that benefited from them were remarkably different. Etchemendy argues that the most decisive factors that shape adjustment paths are the type of regime and the economic and organizational power with which business and labor emerged from the inward-oriented model. The analysis spans from the origins of state, business and labor industrial actors in the 1930s and 1940s to the politics of compensation under neoliberalism across the Ibero-American world, combined with extensive field work material on Spain, Argentina and Chile.

Artificial intelligence and expert systems have seen a great deal of research in recent years, much of which has been devoted to methods for incorporating uncertainty into models. This book is devoted