Functional Analysis Methods for Reliability Models

This book covers the experimental and theoretical understanding of surface and thin film processes. It presents a unique description of surface processes in adsorption and crystal growth, including bonding in metals and semiconductors. Emphasis is placed on the strong link between science and technology in the description of, and research for, new devices based on thin film and surface science. Practical experimental design, sample preparation and analytical techniques are covered, including detailed discussions of Auger electron spectroscopy and microscopy. Thermodynamic and kinetic models of structure are emphasised throughout. The book provides extensive leads into practical and research literature, as well as resources on the World Wide Web (see http://venables.asu.edu/book). Each chapter contains problems which aim to develop awareness of the subject and the methods used. Aimed as a graduate textbook, this book will also be useful as a sourcebook for graduate students, researchers

Recently molecular biology has undergone unprecedented development generating vast quantities of data needing sophisticated computational methods for analysis, processing and archiving. This requireme

Recently molecular biology has undergone unprecedented development generating vast quantities of data needing sophisticated computational methods for analysis, processing and archiving. This requirem

Over the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to this interesting and rapidly growing area of mathematics. Fundamental to K-theory is the association of a pair of Abelian groups, K0(A) and K1(A), to each C*-algebra A. These groups reflect the properties of A in many ways. This book covers the basic properties of the functors K0 and K1 and their interrelationship. Applications of the theory include Elliott's classification theorem for AF-algebras, and it is shown that each pair of countable Abelian groups arises as the K-groups of some C*-algebra. The theory is well illustrated with 120 exercises and examples, making the book ideal for beginning graduate students working in functional analysis, especially operator algebras, and for researchers from other areas of mathematics who want to learn about this subject.

This book presents and analyses vortex methods as a tool for the direct numerical simulation of incompressible viscous flows. Vortex methods have matured, offering an interesting alternative to finite difference and spectral methods for high-resolution numerical solutions of the Navier–Stokes equations. Research in the numerical analysis aspects of vortex methods has provided a solid mathematical background for understanding the accuracy and stability of the method. At the same time vortex methods retain their appealing physical character that was the motivation for their introduction. Scientists working in the areas of numerical analysis and fluid mechanics will benefit from this book, which may serve both communities as both a reference monograph and a textbook for computational fluid dynamics courses.

Over the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to this interesting and rapidly growing area of mathematics. Fundamental to K-theory is the association of a pair of Abelian groups, K0(A) and K1(A), to each C*-algebra A. These groups reflect the properties of A in many ways. This book covers the basic properties of the functors K0 and K1 and their interrelationship. Applications of the theory include Elliott's classification theorem for AF-algebras, and it is shown that each pair of countable Abelian groups arises as the K-groups of some C*-algebra. The theory is well illustrated with 120 exercises and examples, making the book ideal for beginning graduate students working in functional analysis, especially operator algebras, and for researchers from other areas of mathematics who want to learn about this subject.

HPLC and CE Methods for Pharmaceutical Analysis The complete, up-to-date library at the click of a mouseThis invaluable database gives you fast, easy access to more than 13,000 abstracts from the curr

Although nearly all major social science departments offer graduate students training in quantitative methods, the typical sequencing of topics generally delays training in regression analysis and oth

What are the best ways to do research on the psychology of women and gender? Within feminist psychology, there is a great deal of methodological creativity and diversity. This volume, first published in 2000, highlights how familiar methods such as focus groups can be brought to bear on feminist issues. It demonstrates less common methods, such as Q-sort, phenomenological analysis, concept mapping, and discourse analysis. Moreover, it explores the role of personal values, interpersonal dynamics, and sociopolitical influences on the research process. Over 60 international contributors share insights into adolescent girls' and adult women's sexuality, violence and its prevention, life patterns and narratives, the teaching-research nexus, gender and race in clinical practice, and more. Included is a comprehensive resource guide for research, publication and teaching on methodological diversity.

Scientists tend to take the thought processes that drive their research for granted, often learning them indirectly by observing first their supervisors and then their colleagues. This book emphasises the advantages of being explicit about these thought processes and aims to help those undertaking ecological research to develop a critical attitude to approaching a scientific problem and constructing a procedure for assessment. The outcome is a text which provides a framework for understanding methodological issues and which assists with the effective definition and planning of research. As such it represents a unique resource for anyone embarking on their research career. It also provides a valuable source of information for those more experienced researchers who are seeking to strengthen the methodology underlying their studies or who have an interest in the analysis of research methods in ecology.

This advanced textbook provides the reader with an up-to-date account of recent developments and future potential in the study of human skeletons from both an archaeological and forensic context. It is well-illustrated, comprehensive in its coverage and is divided into six sections for ease of reference, encompassing such areas as palaeodemography, juvenile health and growth, disease and trauma, normal skeletal variation, biochemical and microscopic analyses and facial reconstruction. Each chapter is written by a recognised specialist in the field, and includes in-depth discussion of the reliability of methods, with appropriate references, and current and future research directions. It is essential reading for all students undertaking osteology as part of their studies and will also prove a valuable reference for forensic scientists, both in the field and the laboratory.

This collection of articles by well-known experts was originally published in 2000 and is intended for researchers in computer science, practitioners of formal methods, and computer programmers working in safety-critical applications or in the technology of component-based systems. The work brings together several elements of this area that were fast becoming the focus of much research and practice in computing. The introduction by Clemens Szyperski gives a snapshot of research in the field. About half the articles deal with theoretical frameworks, models, and systems of notation; the rest of the book concentrates on case studies by researchers who have built prototype systems and present findings on architectures verification. The emphasis is on advances in the technological infrastructure of component-based systems; how to design and specify reusable components; and how to reason about, verify, and validate systems from components. Thus the book shows how theory might move into pract

The most commonly used method for analyzing substances, and the first method most researchers turn to, is high performance liquid chromatography (HPLC). Following up on a best-seller, volumes 2-4 cont

This book presents the concepts, methods and applications of kinetic theory to rarefied gas dynamics. After introducing the basic tools, problems in plane geometry are treated using approximation techniques (perturbation and numerical methods). These same techniques are later used to deal with two- and three-dimensional problems. The models include not only monatomic but also polyatomic gases, mixtures, chemical reactions. A special chapter is devoted to evaporation and condensation phenomena. Each section is accompanied by problems which are mainly intended to demonstrate the use of the material in the text and to outline additional subjects, results and equations. This will help ensure that the book can be used for a range of graduate courses in aerospace engineering or applied mathematics.

This book presents the concepts, methods and applications of kinetic theory to rarefied gas dynamics. After introducing the basic tools, problems in plane geometry are treated using approximation techniques (perturbation and numerical methods). These same techniques are later used to deal with two- and three-dimensional problems. The models include not only monatomic but also polyatomic gases, mixtures, chemical reactions. A special chapter is devoted to evaporation and condensation phenomena. Each section is accompanied by problems which are mainly intended to demonstrate the use of the material in the text and to outline additional subjects, results and equations. This will help ensure that the book can be used for a range of graduate courses in aerospace engineering or applied mathematics.

Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book, first published in 2000, treats one class of such equations, concentrating on methods involving the use of surface potentials. It provided the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains. Included are chapters on three specific examples: the Laplace equation, the Helmholtz equation and the equations of linear elasticity. The book is designed to provide an ideal preparation for studying the modern research literature on boundary element methods.

Originally published in 2000, this is the second volume of a comprehensive two-volume treatment of quadratic optimal control theory for partial differential equations over a finite or infinite time horizon, and related differential (integral) and algebraic Riccati equations. Both continuous theory and numerical approximation theory are included. The authors use an abstract space, operator theoretic approach, which is based on semigroups methods, and which unifies across a few basic classes of evolution. The various abstract frameworks are motivated by, and ultimately directed to, partial differential equations with boundary/point control. Volume 2 is focused on the optimal control problem over a finite time interval for hyperbolic dynamical systems. A few abstract models are considered, each motivated by a particular canonical hyperbolic dynamics. It presents numerous fascinating results. These volumes will appeal to graduate students and researchers in pure and applied mathematics and

Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book, first published in 2000, treats one class of such equations, concentrating on methods involving the use of surface potentials. It provided the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains. Included are chapters on three specific examples: the Laplace equation, the Helmholtz equation and the equations of linear elasticity. The book is designed to provide an ideal preparation for studying the modern research literature on boundary element methods.

A unique introduction to the theory of linear operators on Hilbert space. The author presents the basic facts of functional analysis in a form suitable for engineers, scientists, and applied mathemati

Contrasts are statistical procedures for asking focused questions of data. Compared to diffuse or omnibus questions, focused questions are characterized by greater conceptual clarity and greater statistical power when examining those focused questions. If an effect truly exists, we are more likely to discover it and to believe it to be real when asking focused questions rather than omnibus ones. Researchers, teachers of research methods and graduate students will be familiar with the principles and procedures of contrast analysis, but will also be introduced to a series of newly developed concepts, measures, and indices that permit a wider and more useful application of contrast analysis. This volume takes on this new approach by introducing a family of correlational effect size estimates.

Contrasts are statistical procedures for asking focused questions of data. Compared to diffuse or omnibus questions, focused questions are characterized by greater conceptual clarity and greater statistical power when examining those focused questions. If an effect truly exists, we are more likely to discover it and to believe it to be real when asking focused questions rather than omnibus ones. Researchers, teachers of research methods and graduate students will be familiar with the principles and procedures of contrast analysis, but will also be introduced to a series of newly developed concepts, measures, and indices that permit a wider and more useful application of contrast analysis. This volume takes on this new approach by introducing a family of correlational effect size estimates.

Studies of dental and skeletal growth and development have often been treated as independent disciplines within the literature. Human Growth in the Past, first published in 1999, brings together these two related fields of enquiry in a single volume whose purpose is to place methodological issues of growth and development in past populations within a strong theoretical framework. Contributions examine a variety of aspects of human growth in the past, drawing from both palaeoanthropological and bioarchaeological data. The book covers a wide spectrum of topics, from patterns of growth in humans and their close relatives, innovative methods and applications of techniques and models for the study of growth, to estimation of age-at-death in subadults and infant mortality in archaeological samples. Human Growth in the Past will be of interest to biological anthropologists, and those in the related fields of dental anatomy, evolutionary biology and developmental biology.

Financial Integration in East Asia, first published in 1999, examines the degree of domestic and financial openness in ten Asian countries (Japan, Australia, Hong Kong, Indonesia, South Korea, Malaysia, the Philippines, Singapore, Taiwan and Thailand) and the effect financial openness has on the structure of the macroeconomy. After examining the reasons behind the 1997/98 financial crisis, Dr de Brouwer puts these in context by summarising the literature on the costs and benefits of financial reform. He then assesses the information that interest rate parity conditions have for financial openness, and sets out theoretical and empirical models to explore the link between market interest rates and intermediated interest rates on deposits and loans. Financial Integration in East Asia also contains reviews of the literature and regional developments, with clear policy analysis throughout.

Robert Powell argues persuasively and elegantly for the usefulness of formal models in studying international conflict and for the necessity of greater dialogue between modeling and empirical analysis

Ideal for courses aiming to give examples of the wide variety of empirical phenomena for which stochastic processes provide mathematical models. It introduces the methods of probability model building

Systems of conservation laws arise naturally in physics and chemistry. To understand them and their consequences (shock waves, finite velocity wave propagation) properly in mathematical terms requires, however, knowledge of a broad range of topics. This book sets up the foundations of the modern theory of conservation laws, describing the physical models and mathematical methods, leading to the Glimm scheme. Building on this the author then takes the reader to the current state of knowledge in the subject. The maximum principle is considered from the viewpoint of numerical schemes and also in terms of viscous approximation. Small waves are studied using geometrical optics methods. Finally, the initial-boundary problem is considered in depth. Throughout, the presentation is reasonably self-contained, with large numbers of exercises and full discussion of all the ideas. This will make it ideal as a text for graduate courses in the area of partial differential equations.

The generalized method of moments (GMM) estimation has emerged as providing a ready to use, flexible tool of application to a large number of econometric and economic models by relying on mild, plausible assumptions. The principal objective of this volume is to offer a complete presentation of the theory of GMM estimation as well as insights into the use of these methods in empirical studies. It is also designed to serve as a unified framework for teaching estimation theory in econometrics. Contributors to the volume include well-known authorities in the field based in North America, the UK/Europe, and Australia. The work is likely to become a standard reference for graduate students and professionals in economics, statistics, financial modeling, and applied mathematics.

The generalized method of moments (GMM) estimation has emerged as providing a ready to use, flexible tool of application to a large number of econometric and economic models by relying on mild, plausible assumptions. The principal objective of this volume is to offer a complete presentation of the theory of GMM estimation as well as insights into the use of these methods in empirical studies. It is also designed to serve as a unified framework for teaching estimation theory in econometrics. Contributors to the volume include well-known authorities in the field based in North America, the UK/Europe, and Australia. The work is likely to become a standard reference for graduate students and professionals in economics, statistics, financial modeling, and applied mathematics.

This volume brings together leading European scholars and policy-makers to address the determinants of foreign direct investment (FDI) and its effects on globalisation, growth and European integration since 1945. The main focus of the study is foreign direct investment by German multinational companies. A range of methods, including econometric studies, survey-based analysis, and detailed discussions of published statistics are used to assess the implications for the German economy and the results in host countries of foreign investment. Consideration is also given to FDI by Swedish multinational corporations, as well as to the role national and supranational institutions can play in stimulating FDI. Although FDI often raises fears for employment and growth, it is an effective way of transferring techniques, processes and products into new markets. Firm-specific assets transferred in this way can raise productivity in the host country without sacrificing jobs in the home country.

Time series analysis has undergone many changes in recent years with the advent of unit roots and cointegration. Maddala and Kim present a comprehensive review of these important developments and examine structural change. The volume provides an analysis of unit root tests, problems with unit root testing, estimation of cointegration systems, cointegration tests, and econometric estimation with integrated regressors. The authors also present the Bayesian approach to these problems and bootstrap methods for small-sample inference. The chapters on structural change discuss the problems of unit root tests and cointegration under structural change, outliers and robust methods, the Markov-switching model and Harvey's structural time series model. Unit Roots, Cointegration and Structural Change is a major contribution to Themes in Modern Econometrics, of interest both to specialists and graduate and upper-undergraduate students.

Economic inequality has become a focus of prime interest for economic analysts and policy makers. This book provides an integrated approach to the topics of inequality and personal income distribution. It covers the practical and theoretical bases for inequality analysis, applications to real world problems and the foundations of theoretical approaches to income distribution. It also analyses models of the distribution of labour earnings and of income from wealth. The long-run development of income - and wealth - distribution over many generations is also examined. Special attention is given to an assessment of the merits and weaknesses of standard economic models, to illustrating the implications of distributional mechanisms using real data and illustrative examples, and to providing graphical interpretation of formal arguments. Examples are drawn from US, UK and international sources.

Economic inequality has become a focus of prime interest for economic analysts and policy makers. This book provides an integrated approach to the topics of inequality and personal income distribution. It covers the practical and theoretical bases for inequality analysis, applications to real world problems and the foundations of theoretical approaches to income distribution. It also analyses models of the distribution of labour earnings and of income from wealth. The long-run development of income - and wealth - distribution over many generations is also examined. Special attention is given to an assessment of the merits and weaknesses of standard economic models, to illustrating the implications of distributional mechanisms using real data and illustrative examples, and to providing graphical interpretation of formal arguments. Examples are drawn from US, UK and international sources.

Now revised and updated, this brisk introduction to functional analysis is intended for advanced undergraduate students, typically final year, who have had some background in real analysis. The author's aim is not just to cover the standard material in a standard way, but to present results of application in contemporary mathematics and to show the relevance of functional analysis to other areas. Unusual topics covered include the geometry of finite-dimensional spaces, invariant subspaces, fixed-point theorems, and the Bishop-Phelps theorem. An outstanding feature is the large number of exercises, some straightforward, some challenging, none uninteresting.

This 1999 book studies the implications of macroeconomic complementarities for aggregate behavior. The presentation is intended to introduce PhD students into this sub-field of macroeconomics and to serve as a reference for more advanced scholars. The initial sections of the book cover the basic framework of complementarities and provide a discussion of the experimental evidence on the outcome of coordination games. The subsequent sections of the book investigate applications of these ideas for macroeconomics. The topics Professor Cooper explores include: economies with production complementarities, search models, imperfectly competitive product markets, models of timing and delay and the role of government in resolving and creating coordination problems. The presentation goes into detail on a few models and uses them as a structure to integrate related literature. The discussion brings together theory and quantitative analysis.

This 1999 book studies the implications of macroeconomic complementarities for aggregate behavior. The presentation is intended to introduce PhD students into this sub-field of macroeconomics and to serve as a reference for more advanced scholars. The initial sections of the book cover the basic framework of complementarities and provide a discussion of the experimental evidence on the outcome of coordination games. The subsequent sections of the book investigate applications of these ideas for macroeconomics. The topics Professor Cooper explores include: economies with production complementarities, search models, imperfectly competitive product markets, models of timing and delay and the role of government in resolving and creating coordination problems. The presentation goes into detail on a few models and uses them as a structure to integrate related literature. The discussion brings together theory and quantitative analysis.

Now in paperback, the main theme of this book is the study of geometric properties of general sets and measures in euclidean spaces. Applications of this theory include fractal-type objects such as strange attractors for dynamical systems and those fractals used as models in the sciences. The author provides a firm and unified foundation and develops all the necessary main tools, such as covering theorems, Hausdorff measures and their relations to Riesz capacities and Fourier transforms. The last third of the book is devoted to the Beisovich-Federer theory of rectifiable sets, which form in a sense the largest class of subsets of euclidean space posessing many of the properties of smooth surfaces. These sets have wide application including the higher-dimensional calculus of variations. Their relations to complex analysis and singular integrals are also studied. Essentially self-contained, this book is suitable for graduate students and researchers in mathematics.

Presenting innovative, promising and unconventional techniques, Post-modern Electromagnetics outlines the essential tools for the creation of numerical methods. Hafner offers a comparative analysis of

Ragnar Frisch (1895–1973) received the first Nobel Memorial Prize in Economic Science together with Jan Tinbergen in 1969 for having played an important role in ensuring that mathematical techniques figure prominently in modern economic analysis. Frisch was also a co-founder of the Econometric Society in 1930, the inaugural editor of its journal Econometrica for over 20 years, and a major figure in Norwegian academic life. This collection of essays derived from the centennial symposium which marked Frisch's birth explores his contributions to econometrics and other key fields in the discipline as well as the results of new research. Contributors include eminent scholars from Europe, the United Kingdom and North America who investigate themes in utility measurement, production theory, microeconomic policy, econometric methods, macrodynamics, and macroeconomic planning.

On-line learning is one of the most powerful and commonly used techniques for training large layered networks and has been used successfully in many real-world applications. Traditional analytical methods have been recently complemented by ones from statistical physics and Bayesian statistics. This powerful combination of analytical methods provides more insight and deeper understanding of existing algorithms and leads to novel and principled proposals for their improvement. This book presents a coherent picture of the state-of-the-art in the theoretical analysis of on-line learning. An introduction relates the subject to other developments in neural networks and explains the overall picture. Surveys by leading experts in the field combine new and established material and enable non-experts to learn more about the techniques and methods used. This book, the first in the area, provides a comprehensive view of the subject and will be welcomed by mathematicians, scientists and engineers,

Ragnar Frisch (1895–1973) received the first Nobel Memorial Prize in Economic Science together with Jan Tinbergen in 1969 for having played an important role in ensuring that mathematical techniques figure prominently in modern economic analysis. Frisch was also a co-founder of the Econometric Society in 1930, the inaugural editor of its journal Econometrica for over 20 years, and a major figure in Norwegian academic life. This collection of essays derived from the centennial symposium which marked Frisch's birth explores his contributions to econometrics and other key fields in the discipline as well as the results of new research. Contributors include eminent scholars from Europe, the United Kingdom and North America who investigate themes in utility measurement, production theory, microeconomic policy, econometric methods, macrodynamics, and macroeconomic planning.