Basic Methods of Linear Functional Analysis

Praised as a must-have primer during the Roberts and Alito hearings, Radicals in Robes offers a rigorous yet accessible analysis of what’s at stake in the judiciary choices made during these wa

A rigorous, critical presentation of the basic mathematics of nonrelativistic quantum mechanics, this text is suitable for courses in functional analysis at the advanced undergraduate and graduate lev

Benoit (communication, Wayne State U.) begins this analysis of political campaign communications by defending the importance of the topic and by presenting the functional theory that underpins his res

Ch 1　Introduction and Basic ConceptsCh 2　Energy, Energy Transfer, and General Energy AnalysisCh 3　Properties of Pure SubstancesCh 4　Energy Analysis of Closed SystemsCh 5　Mass and Energy Analysis of Co

This book is entirely devoted to the study of children's skeletons from archaeological and forensic contexts. It provides an extensive review of the osteological methods and theoretical concepts of their analysis. Non-adult skeletons provide a wealth of information on the physical and social life of the child from their growth, diet and age at death, to factors that expose them to trauma and disease at different stages of their lives. This book covers the factors that affect non-adult skeletal preservation; the assessment of their age, sex and ancestry; growth and development; infant and child mortality including infanticide; weaning ages and disease of dietary deficiency; skeletal pathology; personal identification and exposure to trauma from birth injuries, accidents and child abuse; providing insights for graduates and postgraduates in osteology, palaeopathology and forensic anthropology.

Computational Molecular Evolution provides an up-to-date and comprehensive coverage of modern statistical and computational methods used in molecular evolutionary analysis, such as maximum likelihood

A new and incisive analysis of the political viability of human rights, with an in-depth investigation of its largest violation: world hunger. Gonzalez-Pelaez develops John Vincent's theory of basic h

The control of vibrating systems is a significant issue in the design of aircraft, spacecraft, bridges and high-rise buildings. This 2001 book discusses the control of vibrating systems, integrating structural dynamics, vibration analysis, modern control and system identification. Integrating these subjects is an important feature in that engineers will need only one book, rather than several texts or courses, to solve vibration control problems. The book begins with a review of basic mathematics needed to understand subsequent material. Chapters then cover more recent and valuable developments in aerospace control and identification theory, including virtual passive control, observer and state-space identification, and data-based controller synthesis. Many practical issues and applications are addressed, with examples showing how various methods are applied to real systems. Some methods show the close integration of system identification and control theory from the state-space perspec

As the analysis of social networks, or networks of interpersonal and social relationships among social groups, has become an increasingly important method of research in several of the social and behavioural sciences, the gathering of network data has outpaced the development of new methods for its analysis. Addressing the need for analytical tools, Philippa Pattison presents a number of algebraic models for the analysis of network data, explaining in the process the rationale for an algebraic approach. Models are developed for both complete networks, meaning those representing the social ties between all pairs of members in a given group, and local networks, meaning those structured around the social ties of one particular group member. Many applications are presented and the ways that these methods can address a number of important issues confronting network analysis are explained.

Motor vehicles are prominent among the flows of exports and imports for Canada, Germany, Japan and the United States, and these trade flows are heavily influenced by the basic relative competitiveness of the production processes for automotive manufacturing. In this book the authors analyse in depth the factors that contributed to the comparative cost competitiveness of the four countries' auto industries over the period 1961–84, and disentangle the factors contributing to the Japanese cost and efficiency advantages. Their main contribution is to provide estimates of comparative costs of automobile production (both short-run and long-run) and the sources of these cost differences, based on the econometric cost-function methodology. An innovation is the careful treatment of capacity utilization, one of the most important sources of short-run cost and efficiency differences. This methodology is also used effectively in an analysis of the Canada-US Auto Pact, a unique experiment in trade

Based on the author's graduate course taught over many years in several physics departments, this 2006 book takes a 'reductionist' view of statistical mechanics, while describing the main ideas and methods underlying its applications. It implicitly assumes that the physics of complex systems as observed is connected to fundamental physical laws represented at the molecular level by Newtonian mechanics or quantum mechanics. Organised into three parts, the first section describes the fundamental principles of equilibrium statistical mechanics. The next section describes applications to phases of increasing density and order: gases, liquids and solids; it also treats phase transitions. The final section deals with dynamics, including a careful account of hydrodynamic theories and linear response theory. This textbook is suitable for a one year graduate course in statistical mechanics for physicists, chemists and chemical engineers. Problems are included following each chapter, with soluti

This graduate-level textbook covers the major developments in surface sciences of recent decades, from experimental tricks and basic techniques to the latest experimental methods and theoretical under

fMRI is a very popular method for researchers and clinicians to image human brain activity in response to given mental tasks. This book presents a comprehensive review of the methods for computing activity maps, while providing an intuitive and mathematical outline of how each method works. The approaches include statistical parametric maps (SPM), hemodynamic response modeling and deconvolution, Bayesian, Fourier and nonparametric methods. The newest activity maps provide information on regional connectivity and include principal and independent component analysis, crisp and fuzzy clustering, structural equation modeling, and dynamic causal modeling. Preprocessing and experimental design issues are discussed with references made to the software available for implementing the various methods. Aimed at graduate students and researchers, it will appeal to anyone with an interest in fMRI and who is looking to expand their perspectives of this technique.

The 2nd edition of this successful book has several new features. The calibration discussion of the basic LIBOR market model has been enriched considerably, with an analysis of the impact of the swapt

How do I decide I am ill; how do I decide that my children are ill? How do I learn effective ways of conveying to others that I am ill? This book discusses the languages of illness which we use to present our discomforts to others through an exploration of the child's world of illness. It looks at how illness concepts are introduced to children, how the causes of illness and 'germ' rationales are incorporated into the socialisation of children, and how a particular morality about health and illness is expressed. Besides the analysis of the social context within which the children's views are developing, the book presents the children's own views from three years old up to thirteen. How we talk about illness can have as important consequences as the methods we use to cure it. This book persuades the reader to look more closely at the language of illness, allowing a reappraisal to medical practice, school health programmes and class teaching, health education and even the differences in

Advanced Dynamics is a broad and detailed description of the analytical tools of dynamics as used in mechanical and aerospace engineering. The strengths and weaknesses of various approaches are discussed, and particular emphasis is placed on learning through problem solving. The book begins with a thorough review of vectorial dynamics and goes on to cover Lagrange's and Hamilton's equations as well as less familiar topics such as impulse response, and differential forms and integrability. Techniques are described that provide a considerable improvement in computational efficiency over the standard classical methods, especially when applied to complex dynamical systems. The treatment of numerical analysis includes discussions of numerical stability and constraint stabilization. Many worked examples and homework problems are provided. The book is intended for use on graduate courses on dynamics, and will also appeal to researchers in mechanical and aerospace engineering.

In this collection of innovative essays an international team of contributors provides theoretical, methodological and substantive empirical analysis of migration in Latin America. Ranging in time from the sixteenth through the mid-nineteenth century, the studies will attract the attention of all Latin American specialists. They provide conclusive evidence of the ubiquity of migration in the early modern period, challenging views of immobile peasants held in the grip of static colonialism. They show that to migrate was one of the most important means of coping with Spanish colonialism. The essays are written from a multi-disciplinary perspective and thus provide data and interpretations that are novel and represent important contributions to colonial Latin American studies. They address the basic questions of who migrated, why did they migrate, how can one interpret migration fields, what role did economic opportunity or ecological conditions play, and not least, what was the impact of

The science called 'harmonics' was one of the major intellectual enterprises of Greek antiquity. Ptolemy's treatise seeks to invest it with new scientific rigour; its consistently sophisticated procedural self-awareness marks it as a key text in the history of science. This book is a sustained methodological exploration of Ptolemy's project. After an analysis of his explicit pronouncements on the science's aims and the methods appropriate to it, it examines Ptolemy's conduct of his investigation in detail, concluding that despite occasional uncertainties, the declared procedure is followed with remarkable fidelity. Ptolemy pursues tenaciously his novel objective of integrating closely the project's theoretical and empirical phases and shows astonishing mastery of the concept, the design and the conduct of controlled experimental tests. By opening up this neglected text to historians of science, the book aims to provide a point of departure for wider studies of Greek scientific method.

Shakespeare and Social Dialogue deals with Shakespeare's language and the rhetoric of Elizabethan letters. Moving beyond claims about the language of individual Shakespearean characters, Magnusson analyses dialogue, conversation, sonnets and particularly letters of the period, which are normally read as historical documents, as the verbal negotiation of specific social and power relations. Thus, the rhetoric of service or friendship is explored in texts as diverse as Sidney family letters, Shakespearean sonnets and Burghley's state letters. The book draws on ideas from discourse analysis and linguistic pragmatics, especially 'politeness theory', relating these to key ideas in epistolary handbooks of the period, including those by Erasmus and Angel Day and demonstrates that Shakespeare's language is rooted in the everyday language of Elizabethan culture. Magnusson creates a way of reading both literary texts and historical documents which bridges the gap between the methods of new histo

Toru Takemitsu (1930–1996) was the best-known Japanese composer of his generation, bringing aspects of Eastern and Western traditions together, yet he remained something of an elusive figure. The composer's own commentaries about his music, poetic and philosophical in tone, have tended to deepen the mystery and much writing on Takemitsu to date has adopted a similar attitude, leaving many questions about his compositional methods unanswered. This book is the first complete study of the composer's work to appear in English. It is also the first book in this language to offer an in-depth analysis of his music. Takemitsu's works are increasingly popular with Western audiences and Peter Burt attempts for the first time to shed light on the hitherto rather secretive world of his working methods, as well as place him in context as heir to the rich tradition of Japanese composition in the twentieth century.

So much has to be crammed into today's biology courses that basic information on animal groups and their evolutionary origins is often left out. This is particularly true for the invertebrates. The second edition of Janet Moore's An Introduction to the Invertebrates fills this gap by providing a short updated guide to the invertebrate phyla, looking at their diverse forms, functions and evolutionary relationships. This book first introduces evolution and modern methods of tracing it, then considers the distinctive body plan of each invertebrate phylum showing what has evolved, how the animals live, and how they develop. Boxes introduce physiological mechanisms and development. The final chapter explains uses of molecular evidence and presents an up-to-date view of evolutionary history, giving a more certain definition of the relationships between invertebrates. This user-friendly and well-illustrated introduction will be invaluable for all those studying invertebrates.

This comprehensive textbook provides a clear, reader-friendly writing style, serves as an introduction to speech science, and covers basic information on acoustics, the acoustic analysis of speech, s

This textbook, first published in 2006, provides the student of aerospace, civil and mechanical engineering with all the fundamentals of linear structural dynamics analysis. It is designed for an advanced undergraduate or first-year graduate course. This textbook is a departure from the usual presentation in two important respects. First, descriptions of system dynamics are based on the simpler to use Lagrange equations. Second, no organizational distinctions are made between multi-degree of freedom systems and single-degree of freedom systems. The textbook is organized on the basis of first writing structural equation systems of motion, and then solving those equations mostly by means of a modal transformation. The text contains more material than is commonly taught in one semester so advanced topics are designated by an asterisk. The final two chapters can also be deferred for later studies. The text contains numerous examples and end-of-chapter exercises.

This edition of the industry standard on architectural detailing includes new sections covering analysis and modification of existing details and design of new details, both basic and advanced. Revise

Among the cutting-edge methods and studies reviewed in this decennial volume of the series are the Density Functional Theory (DFT) method, vibrational electron energy loss spectroscopy (EELS), computa

In its first six chapters this 2006 text seeks to present the basic ideas and properties of the Jacobi elliptic functions as an historical essay, an attempt to answer the fascinating question: 'what would the treatment of elliptic functions have been like if Abel had developed the ideas, rather than Jacobi?' Accordingly, it is based on the idea of inverting integrals which arise in the theory of differential equations and, in particular, the differential equation that describes the motion of a simple pendulum. The later chapters present a more conventional approach to the Weierstrass functions and to elliptic integrals, and then the reader is introduced to the richly varied applications of the elliptic and related functions. Applications spanning arithmetic (solution of the general quintic, the functional equation of the Riemann zeta function), dynamics (orbits, Euler's equations, Green's functions), and also probability and statistics, are discussed.

In its first six chapters this 2006 text seeks to present the basic ideas and properties of the Jacobi elliptic functions as an historical essay, an attempt to answer the fascinating question: 'what would the treatment of elliptic functions have been like if Abel had developed the ideas, rather than Jacobi?' Accordingly, it is based on the idea of inverting integrals which arise in the theory of differential equations and, in particular, the differential equation that describes the motion of a simple pendulum. The later chapters present a more conventional approach to the Weierstrass functions and to elliptic integrals, and then the reader is introduced to the richly varied applications of the elliptic and related functions. Applications spanning arithmetic (solution of the general quintic, the functional equation of the Riemann zeta function), dynamics (orbits, Euler's equations, Green's functions), and also probability and statistics, are discussed.

America and Enlightenment Constitutionalism shows in detail the Enlightenment origin of the U.S. Constitution. It provides vivid analysis of how the Enlightenment's basic ideas were reformulated in th

The Essential Talmud is a masterful introduction to the beliefs, attitudes, and methods of the sacred text by which the Jewish people have lived and survived through the ages-by the renowned Israeli r

This book was originally published in 2006. Moonshine forms a way of explaining the mysterious connection between the monster finite group and modular functions from classical number theory. The theory has evolved to describe the relationship between finite groups, modular forms and vertex operator algebras. Moonshine Beyond the Monster describes the general theory of Moonshine and its underlying concepts, emphasising the interconnections between mathematics and mathematical physics. Written in a clear and pedagogical style, this book is ideal for graduate students and researchers working in areas such as conformal field theory, string theory, algebra, number theory, geometry and functional analysis. Containing over a hundred exercises, it is also a suitable textbook for graduate courses on Moonshine and as supplementary reading for courses on conformal field theory and string theory.

Laser Induced Breakdown Spectroscopy (LIBS) is an emerging technique for determining elemental composition. With the ability to analyse solids, liquids and gases with little or no sample preparation, it is more versatile than conventional methods and is ideal for on-site analysis. This is a comprehensive reference explaining the fundamentals of the LIBS phenomenon, its history and its fascinating applications across eighteen chapters written by recognized leaders in the field. Over 300 illustrations aid understanding. This book will be of significant interest to researchers in chemical and materials analysis within academia and industry.

This is an updated version of the best selling first edition, Ecological Census Techniques, with updating, some new chapters and authors. Almost all ecological and conservation work involves carrying out a census or survey. This practically focussed book describes how to plan a census, the practical details and shows with worked examples how to analyse the results. The first three chapters describe planning, sampling and the basic theory necessary for carrying out a census. In the subsequent chapters international experts describe the appropriate methods for counting plants, insects, fish, amphibians, reptiles, mammals and birds. As many censuses also relate the results to environmental variability, there is a chapter explaining the main methods. Finally, there is a list of the most common mistakes encountered when carrying out a census.

The 2006 second edition of this book develops the basic formalism and theoretical techniques for studying relativistic quantum field theory at high temperature and density. Specific physical theories treated include QED, QCD, electroweak theory, and effective nuclear field theories of hadronic and nuclear matter. Topics include: functional integral representation of the partition function, diagrammatic expansions, linear response theory, screening and plasma oscillations, spontaneous symmetry breaking, Goldstone theorem, resummation and hard thermal loops, lattice gauge theory, phase transitions, nucleation theory, quark-gluon plasma, and color superconductivity. Applications to astrophysics and cosmology cover white dwarf and neutron stars, neutrino emissivity, baryon number violation in the early universe, and cosmological phase transitions. Applications to relativistic nucleus-nucleus collisions are also included. The book is written for theorists in elementary particle physics, nuc

The theme of the first Abel Symposium was operator algebras in a wide sense. In the last 40 years operator algebras have developed from a rather special discipline within functional analysis to become

L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex definitions. The main themes of the book are first worked out for GL(2,R) and GL(3,R), and then for the general case of GL(n,R). In an appendix to the book, a set of Mathematica functions is presented, designed to allow the reader to explore the theory from a computational point of view.

Dynamic data assimilation is the assessment, combination and synthesis of observational data, scientific laws and mathematical models to determine the state of a complex physical system, for instance as a preliminary step in making predictions about the system's behaviour. The topic has assumed increasing importance in fields such as numerical weather prediction where conscientious efforts are being made to extend the term of reliable weather forecasts beyond the few days that are presently feasible. This book is designed to be a basic one-stop reference for graduate students and researchers. It is based on graduate courses taught over a decade to mathematicians, scientists, and engineers, and its modular structure accommodates the various audience requirements. Thus Part I is a broad introduction to the history, development and philosophy of data assimilation, illustrated by examples; Part II considers the classical, static approaches, both linear and nonlinear; and Part III describes

The long-awaited second edition of this well-received textbook gives a thorough introduction to observational astronomy. Starting with the basics of positional astronomy and systems of time, it continues with charts and catalogs covering both historically important publications and modern electronic databases. The book builds on a fundamental discussion of the basics of light and the effects of the atmosphere on astronomical observations. Chapters include discussions of optical telescopes, detectors, photometry, variable stars, astrometry, spectroscopy, and solar observations. This edition contains new discussions of measurements with CCDs and appendices give basic statistical methods, useful astronomical software and websites, and sources of accurate time-calibration signals. Observational Astronomy is the perfect textbook for upper level undergraduate or beginning graduate courses on astronomy. Examples based on real astronomical data are placed throughout the text. Each of the well-

Revised and fully updated, the second edition of this graduate textbook offers a comprehensive explanation of the technology and physics of LEDs such as infrared, visible-spectrum, ultraviolet, and white LEDs made from III-V semiconductors. Elementary properties such as electrical and optical characteristics are reviewed, followed by the analysis of advanced device structures. With nine additional chapters, the treatment of LEDs has been vastly expanded, including new material on device packaging, reflectors, UV LEDs, III-V nitride materials, solid-state sources for illumination applications, and junction temperature. Radiative and non-radiative recombination dynamics, methods for improving light extraction, high-efficiency and high-power device designs, white-light emitters with wavelength-converting phosphor materials, optical reflectors, and spontaneous recombination in resonant-cavity structures are discussed in detail. With exercises, solutions, and illustrative examples, this tex

The interdisciplinary nature of bioinformatics presents a research challenge in integrating concepts, methods, software and multiplatform data. Although there have been rapid developments in new technology and an inundation of statistical methods for addressing other types of high-throughput data, such as proteomic profiles that arise from mass spectrometry experiments. This book discusses the development and application of Bayesian methods in the analysis of high-throughput bioinformatics data that arise from medical, in particular, cancer research, as well as molecular and structural biology. The Bayesian approach has the advantage that evidence can be easily and flexibly incorporated into statistical methods. A basic overview of the biological and technical principles behind multi-platform high-throughput experimentation is followed by expert reviews of Bayesian methodology, tools and software for single group inference, group comparisons, classification and clustering, motif discov

A visually intuitive approach to statistical data analysis Visual Statistics brings the most complex and advanced statistical methods within reach of those with little statistical training by