Basic Methods of Linear Functional Analysis

Input-output analysis is the main tool of applied equilibrium analysis. This textbook provides a systematic survey of the most recent developments in input-output analysis and their applications, helping us to examine questions such as: which industries are competitive? What are the multiplier effects of an investment program? How do environmental restrictions impact on prices? Linear programming and national accounting are introduced and used to resolve issues such as the choice of technique, the comparative advantage of a national economy, its efficiency and dynamic performance. Technological and environmental spillovers are analysed, both at the national level (between industries) and the international level (the measurement of globalisation effects). The book is self-contained, but assumes some familiarity with calculus, matrix algebra, and the microeconomic principle of optimizing behaviour. Exercises and review questions are included at the end of each chapter, and solutions at t

"Mathematics of Uncertainty" provides the basic ideas and foundations of uncertainty, covering the fields of mathematics in which uncertainty, variability, imprecision and fuzziness of data are of imp

Statistical analysis is ubiquitous in modern medical research. Logistic regression, generalized linear models, random effects models, and Cox's regression all have become commonplace in the medical li

This 2002 book introduces the quantum theory of gauge fields. Emphasis is placed on four non-perturbative methods: path integrals, lattice gauge theories, the 1/N expansion, and reduced matrix models, all of which have important contemporary applications. Written as a textbook, it assumes a knowledge of quantum mechanics and elements of perturbation theory, while many relevant concepts are pedagogically introduced at a basic level in the first half of the book. The second half comprehensively covers large-N Yang-Mills theory. The book uses an approach to gauge theories based on path-dependent phase factors known as the Wilson loops, and contains problems with detailed solutions to aid understanding. Suitable for advanced graduate courses in quantum field theory, the book will also be of interest to researchers in high energy theory and condensed matter physics as a survey of recent developments in gauge theory.

The Mumford-Shah functional was introduced in the 1980s as a tool for automatic image segmentation, but its study gave rise to many interesting questions of analysis and geometric measure theory. The

Thermal analysis is an old technique. It has been neglected to some degree because developments of convenient methods of measurement have been slow and teaching of the understanding of the basics of t

Countless numbers of people turn to their cups of coffee in the mornings to get them going. Caffeine gives them that burst of energy and the mental edge they need to make the most of their day. Others

Cohort Analysis, Second Edition covers the basics of the cohort approach to studying aging, social, and cultural change. This volume also critiques several commonly used (but flawed) methods of cohort

For freshman/sophomore-level courses in Linear Algebra. This book provides an applied introduction to the basic ideas, computational techniques, and applications of linear algebra. The most applied of

Inelastic Analysis of Solids and Structures presents in a unified manner the physical and theoretical background of inelastic material models and computational methods, and illustrates the behavior of

The Handbook of Forensic Drug Analysis provides in-depth, up-to-date methods and results of forensic drug analyses. Chapters written by leading researchers in the field discuss the various forms of t

This book deals with the management of calculations in linear and nonlinear mechanics. Particular attention is given to error estimators and indicators for structural analysis. The accent is on the co

The book presents the principles and methods of holographic interferometry - a coherent-optical measurement technique for deformation and stress analysis, for the determination of refractive-index dis

Expanded and revised to include new computing exercises using actual data along with tips, solutions and a set of updated questions. Computer use is encouraged to facilitate analysis of data sets too

This book was first published in 2004. Many observed phenomena, from the changing health of a patient to values on the stock market, are characterised by quantities that vary over time: stochastic processes are designed to study them. This book introduces practical methods of applying stochastic processes to an audience knowledgeable only in basic statistics. It covers almost all aspects of the subject and presents the theory in an easily accessible form that is highlighted by application to many examples. These examples arise from dozens of areas, from sociology through medicine to engineering. Complementing these are exercise sets making the book suited for introductory courses in stochastic processes. Software (available from www.cambridge.org) is provided for the freely available R system for the reader to apply to all the models presented.

* The main treatment is devoted to the analysis of systems of linear partial differential equations (PDEs) with constant coefficients, focusing attention on null solutions of Dirac systems* All the ne

Before he died in 2002, Wansbrough (Semitic studies, London U.) had completed this analysis of the Quran using instruments and techniques of Biblical criticism. In the first three chapters, he sets ou

The Nature of Biological Systems as Revealed by Thermal Methods is a guide for experiments using thermal methods. The Editor has used his many years of experience to create a unique resource that will

The subject of numerical methods in finance has recently emerged as a new discipline at the intersection of probability theory, finance, and numerical analysis. The methods employed bridge the gap bet

Hageman, with a large electric company, and Young (numerical analysis, U. of Texas-Austin) explain how to use iterative methods to solve large, sparse systems of linear algebraic equations. They focus

Senba (Miyazaki U.) and Suzuki (Osaka U.) provide an introduction to applied mathematics in various disciplines. Topics include geometric objects, such as basic notions of vector analysis, curvature a

Analysis and Modelling of Spatial Environmental Data presents traditional geostatistics methods for variography and spatial predictions, approaches to conditional stochastic simulation and local proba

Analyzing Syntax: A Lexical-Functional Approach is a comprehensive and accessible 2004 textbook on syntactic analysis, designed for students of linguistics at advanced undergraduate or graduate level. Working within the 'Lexical Functional Grammar' (LFG) approach, it provides students with a framework for analyzing and describing grammatical structure, using extensive examples from both European and non-European languages. Topics covered include: tests for constituency, passivization and other relation-changing processes, reflexive pronouns, the control relation, Topic and Focus, relative clauses and Wh-questions, causative constructions, serial verbs, 'quirky case', and ergativity. As well as building on what linguists have learned about language in general, particular attention is paid to the unique features of individual languages. While its primary focus is on syntactic structure, the book also deals with aspects of meaning, function and word-structure that are directly relevant to

In this second volume of a two-volume set, Zhao (Institute for Genomic Research) and Stodolsky (US Department of Energy) present methods and applications for functional analysis of DNA-transformed org

This book covers at an advanced level mathematical methods for analysis of telecommunication networks. The book concentrates on various call models used in telecommunications such as quality of servic

Overview of diffraction methods applied to the analysis of the microstructure of materials. Since crystallite size and the presence of lattice defects have a decisive influence on the properties of ma

Merleau-Ponty was a pivotal figure in twentieth century French philosophy. He was responsible for bringing the phenomenological methods of the German philosophers - Husserl and Heidegger - to France a

Merleau-Ponty was a pivotal figure in twentieth century French philosophy. He was responsible for bringing the phenomenological methods of the German philosophers - Husserl and Heidegger - to France a

Calantai (mathematics, U. of Miskolc, Hungary) offers a broad survey of projectors, a type of matrix and operator, for readers who are familiar with linear algebra and mathematical analysis at an unde

This practical volume does not intend to replace a mentor, but acts as a readily accessible guide to the basic tools of lithic analysis. The book was awarded the 2005 SAA Award for Excellence in Archa

Synthesis is one of the major endeavours of the organic chemist, and the design of a successful synthesis requires a sound knowledge of functional group chemistry, stereochemistry and organic reaction

Now available in paperback, this book introduces basic concepts and methods useful in the analysis and modeling of multivariate time series data. It concentrates on the time-domain analysis of multiva

Members of the RAND Frederick S. Pardee Center for Longer Range Global Policy and the Future Human Condition reveal its initial findings into incorporating factors 25 to 100 years in the future into d

Twenty-two journal articles, one abstract, and a book excerpt offer an overview of the career of the "father of linear programming." All authored or coauthored by Dantzig, the publications are organiz

This is the second volume of a set of two devoted to the operator approach to linear problems in hydrodynamics. It presents functional analytical methods applied to the study of small movements and no

This book describes methods for designing and analyzing experiments conducted using computer code in lieu of a physical experiment. It discusses how to select the values of the factors at which to run

Compendium of Organic Synthetic Methods, Volume 11 continues the motivation of the series, which is to facilitate the search for quality, selected functional group transformations, organized by reacti

A July 2003 conference brought together researchers and engineers to review recent advances in the development of methods for predicting fatigue performance of materials and structures. Papers from th

This is a rigorous, systematic introduction to the basic concepts and practical tools of epidemiologic research. It is aimed at readers who will be conducting epidemiologic studies themselves or who

Despite the theoretical and practical importance of the question of conflict between treaties, little has been written on the subject. This monograph fills this gap by providing a detailed analysis of