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Books > Academic & Education > Professional & Technical
History of Functional Analysis presents functional analysis as a rather complex blend of algebra and topology, with its evolution influenced by the development of these two branches of mathematics. The book adopts a narrower definition-one that is assumed to satisfy various algebraic and topological conditions. A moment of reflections shows that this already covers a large part of modern analysis, in particular, the theory of partial differential equations. This volume comprises nine chapters, the first of which focuses on linear differential equations and the Sturm-Liouville problem. The succeeding chapters go on to discuss the ""crypto-integral"" equations, including the Dirichlet principle and the Beer-Neumann method; the equation of vibrating membranes, including the contributions of Poincare and H.A. Schwarz's 1885 paper; and the idea of infinite dimension. Other chapters cover the crucial years and the definition of Hilbert space, including Fredholm's discovery and the contributions of Hilbert; duality and the definition of normed spaces, including the Hahn-Banach theorem and the method of the gliding hump and Baire category; spectral theory after 1900, including the theories and works of F. Riesz, Hilbert, von Neumann, Weyl, and Carleman; locally convex spaces and the theory of distributions; and applications of functional analysis to differential and partial differential equations. This book will be of interest to practitioners in the fields of mathematics and statistics.
This book presents a comprehensive and up to date account of the chemotherapy of parasitic diseases, both human and veterinary. The book starts with an overview of parasitic diseases. The body of the book is divided into two parts: antihelminthic drugs, and antiprotozoal drugs. Both parts start with chapters highlighting the 'biochemical targets' available for chemotherapeutic interference. Individual chapters deal with one chemical class of compounds and describe their origin, structure-activity relationship, mode of action, and methods of synthesis and their status both in clinical and veterinary practice. The book will be useful to a wide spectrum of readers: students embarking on a research career in parasitic chemotherapy, clinicians (and veterinarians) and clinical pharmacologists desiring detailed information about the drugs currently in use, and pharmaceutical technologists wanting to update their knowledge of the methods of manufacture.
"I know that I am doing therapy correctly and well, so why aren't
some of my clients changing?" "Why do I feel anxious when I think
about my next session with that difficult client?" When
psychotherapy stalls, it's time to try new ideas. The authors'
experience with difficult clients -- uncooperative, hostile,
uncommitted to change -- gave them a new perspective on working
with therapeutic impasses. Papers describing Cognitive Appraisal
Therapy have appeared in many books and journals, and now for the
first time these ideas are compiled into a single volume. Heavily
influenced by the psychotherapy integration movement and in a
radical departure from conventional cognitive-behavior therapy,
they see motivation in terms of affect and attachment rather than
cognitive schemas, and resistance and setbacks as the result of
emotional setpoints. Practitioners from all corners of the
psychotherapy landscape will be able to integrate Cognitive
Appraisal Therapy into their therapeutic approaches to help them
work successfully and confidently with difficult clients as
individuals, as couples and in groups.
In today's fast-paced world of technology, keeping up with new
terms and concepts can be quite a challenge. Surface Mount
Technology Terms and Concepts is an invaluable reference containing
over 1000 terms and definitions used in the SMT field. Each term is
followed by a paragraph or two explaining the meaning and how it
fits into the surface mount industry. The easy lookup and concise
explanations make it ideal for those starting out in the field as
well as professionals already involved in surface mount design and
assembly.
The book is focused on defense mechanisms as theoretical constructs
as well as the possibilities of their empirical registration by
different methods, and the application of these constructs in
different fields of psychology with special regard to concurrent
and predictive validity. It is argued that defense mechanisms are
in many ways to be seen as integrative constructs, not necessarily
restricted to psychoanalytic theory and that the potential fields
of their application have a wide ranging scope, comprising many
fields of psychology. Consequently empirical studies are presented
from the fields of clinical and personality psychology,
psychotherapy research and psychosomatic phenomena and diseases.
Methodological questions have a heavy weight in most of these
studies.
This book presents an introduction to the classical theories of continuum mechanics; in particular, to the theories of ideal, compressible, and viscous fluids, and to the linear and nonlinear theories of elasticity. These theories are important, not only because they are applicable to a majority of the problems in continuum mechanics arising in practice, but because they form a solid base upon which one can readily construct more complex theories of material behavior. Further, although attention is limited to the classical theories, the treatment is modern with a major emphasis on foundations and structure
Theory and application of a variety of mathematical techniques in
economics are presented in this volume. Topics discussed include:
martingale methods, stochastic processes, optimal stopping, the
modeling of uncertainty using a Wiener process, Ito's Lemma as a
tool of stochastic calculus, and basic facts about stochastic
differential equations. The notion of stochastic ability and the
methods of stochastic control are discussed, and their use in
economic theory and finance is illustrated with numerous
applications.
Joint endoprosthetics - the science of implanting artificial joints
into the human body - has been around since the 1960 s, and
consistent advancements are leading to better practice, materials
and mechanics.
The Handbook of Mathematical Economics aims to provide a definitive source, reference, and teaching supplement for the field of mathematical economics. It surveys, as of the late 1970's the state of the art of mathematical economics. This is a constantly developing field and all authors were invited to review and to appraise the current status and recent developments in their presentations. In addition to its use as a reference, it is intended that this Handbook will assist researchers and students working in one branch of mathematical economics to become acquainted with other branches of this field. Volume 2 elaborates on "Mathematical Approaches to Microeconomic Theory," including consumer, producer, oligopoly, and duality theory, as well as "Mathematical Approaches to Competitive Equilibrium" including such aspects of competitive equilibrium as existence, stability, uncertainty, the computation of equilibrium prices, and the core of an economy. For more information on the Handbooks in Economics series,
please see our home page on http:
//www.elsevier.nl/locate/hes
The topic of Introduction to Random Vibrations is the behavior of
structural and mechanical systems when they are subjected to
unpredictable, or random, vibrations. These vibrations may arise
from natural phenomena such as earthquakes or wind, or from
human-controlled causes such as the stresses placed on aircraft at
takeoff and landing. Study and mastery of this topic enables
engineers to design and maintain structures capable of withstanding
random vibrations, thereby protecting human life.
The value of multi-disciplinary research lies in the exchange of
ideas and methods across the traditional boundaries between areas
of study. It could be argued that many of the advances in science
and engineering take place because the ideas, methods and the tools
of thought from one discipline become re-applied in another.
Edited by Daniel Rothbart of George Mason University in Virginia,
this book is a collection of Rom Harre's work on modeling in
science (particularly physics and psychology). In over 28 authored
books and 240 articles and book chapters, Rom Harre of Georgetown
University in Washington, DC is a towering figure in philosophy,
linguistics, and social psychology. He has inspired a generation of
scholars, both for the ways in which his research is carried out
and his profound insights. For Harre, the stunning discoveries of
research demand a kind of thinking that is found in the
construction and control of models. Iconic modeling is pivotal for
representing real-world structures, explaining phenomena,
manipulating instruments, constructing theories, and acquiring
data.
Digital electronics is a little more abstract than analog electronics, and trying to find a useful starter book can be tough. For those interested in learning digital electronics, with a practical approach, Beginning Digital Electronics Through Projects is for you. It is published in the same tradition as Beginning Analog Electronics Through Projects, Andrew Singmin's revision to the popular Beginning Electronics Through Projects.
Stephen Cole Kleene was one of the greatest logicians of the twentieth century and this book is the influential textbook he wrote to teach the subject to the next generation. It was first published in 1952, some twenty years after the publication of Gadel's paper on the incompleteness of arithmetic, which marked, if not the beginning of modern logic, at least a turning point after which oenothing was ever the same. Kleene was an important figure in logic, and lived a long full life of scholarship and teaching. The 1930s was a time of creativity and ferment in the subject, when the notion of aEUROoecomputableaEURO moved from the realm of philosophical speculation to the realm of science. This was accomplished by the work of Kurt Gade1, Alan Turing, and Alonzo Church, who gave three apparently different precise definitions of aEUROoecomputableaEURO . When they all turned out to be equivalent, there was a collective realization that this was indeed the oeright notion. Kleene played a key role in this process. One could say that he was oethere at the beginning of modern logic. He showed the equivalence of lambda calculus with Turing machines and with Gadel's recursion equations, and developed the modern machinery of partial recursive functions. This textbook played an invaluable part in educating the logicians of the present. It played an important role in their own logical education.
This book collects 10 mathematical essays on approximation in Analysis and Topology by some of the most influent mathematicians of the last third of the 20th Century. Besides the papers contain the very ultimate results in each of their respective fields, many of them also include a series of historical remarks about the state of mathematics at the time they found their most celebrated results, as well as some of their personal circumstances originating them, which makes particularly attractive the book for all scientist interested in these fields, from beginners to experts. These gem pieces of mathematical intra-history should delight to many forthcoming generations of mathematicians, who will enjoy some of the most fruitful mathematics of the last third of 20th century presented by their own authors.
Transport phenomena in porous media continues to be a field which attracts intensive research activity. This is primarily due to the fact that it plays an important and practical role in a large variety of diverse scientific applications. "Transport Phenomena in Porous Media II" covers a wide range of the engineering and technological applications, including both stable and unstable flows, heat and mass transfer, porosity, and turbulence.
Hardbound. It is a pleasure to record that Progress in Optics is commencing the fifth decade of its existence. The first volume was published in 1961, only a few months after the invention of the laser. This event triggered a wealth of new and exciting developments, many of which were reported in the 240 review articles which were published in this series since its inception. The present volume contains seven articles covering a wide range of subjects. The first article, by M.H. Fields, J. Popp, and R.K. Chang, presents a review of various optical effects in spherical and circular micro-cavities capable of supporting high-Q resonant modes (commonly referred to as morphology-dependent resonances (MDRs) or whispering gallery modes (WGMs)). The article treats the theory of symmetrical and deformed micro-cavities and describes recent research and development in the areas of quantum electrodynamics, lasers, optical spectroscopy, and filters for
An Introduction to Homological Algebra discusses the origins of algebraic topology. It also presents the study of homological algebra as a two-stage affair. First, one must learn the language of Ext and Tor and what it describes. Second, one must be able to compute these things, and often, this involves yet another language: spectral sequences. Homological algebra is an accessible subject to those who wish to learn it, and this book is the author's attempt to make it lovable. This book comprises 11 chapters, with an introductory chapter that focuses on line integrals and independence of path, categories and functors, tensor products, and singular homology. Succeeding chapters discuss Hom and ?; projectives, injectives, and flats; specific rings; extensions of groups; homology; Ext; Tor; son of specific rings; the return of cohomology of groups; and spectral sequences, such as bicomplexes, Kunneth Theorems, and Grothendieck Spectral Sequences. This book will be of interest to practitioners in the field of pure and applied mathematics.
In this book the editors have gathered a number of contributions by persons who have been working on problems of Cognitive Technology (CT). The present collection initiates explorations of the human mind via the technologies the mind produces. These explorations take as their point of departure the question What happens when humans produce new technologies? Two interdependent perspectives from which such a production can be approached are adopted: - How and why constructs that have their origins in human mental life are embodied in physical environments when people fabricate their habitat, even to the point of those constructs becoming that very habitat - How and why these fabricated habitats affect, and feed back into, human mental life. The aim of the CT research programme is to determine, in general, which technologies, and in particular, which interactive computer-based technologies, are humane with respect to the cognitive development and evolutionary adaptation of their end users. But what does it really mean to be humane in a technological world? To shed light on this central issue other pertinent questions are raised, e.g. - Why are human minds externalised, i.e., what purpose does the process of externalisation serve? - What can we learn about the human mind by studying how it externalises itself? - How does the use of externalised mental constructs (the objects we call 'tools') change people fundamentally? - To what extent does human interaction with technology serve as an amplification of human cognition, and to what extent does it lead to a atrophy of the human mind? The book calls for a reflection on what a tool is. Strong parallels between CT andenvironmentalism are drawn: both are seen as trends having originated in our need to understand how we manipulate, by means of the tools we have created, our natural habitat consisting of, on the one hand, the cognitive environment which generates thought and determines action, and on the other hand, the physical environment in which thought and action are realised. Both trends endeavour to protect the human habitat from the unwanted or uncontrolled impact of technology, and are ultimately concerned with the ethics and aesthetics of tool design and tool use. Among the topics selected by the contributors to the book, the following themes emerge (the list is not exhaustive): using technology to empower the cognitively impaired; the ethics versus aesthetics of technology; the externalisation of emotive and affective life and its special dialectic ('mirror') effects; creativity enhancement: cognitive space, problem tractability; externalisation of sensory life and mental imagery; the engineering and modelling aspects of externalised life; externalised communication channels and inner dialogue; externalised learning protocols; relevance analysis as a theoretical framework for cognitive technology.
This in-depth technical guide is an essential resource for anyone
involved in the development of "smart" mobile wireless technology,
including devices, infrastructure, and applications. Written by
researchers active in both academic and industry settings, it
offers both a big-picture introduction to the topic and detailed
insights into the technical details underlying all of the key
trends. "Smart Phone and Next-Generation Mobile Computing" shows
you how the field has evolved, its real and potential current
capabilities, and the issues affecting its future direction. It
lays a solid foundation for the decisions you face in your work,
whether you're a manager, engineer, designer, or entrepreneur.
In its original form, this widely acclaimed primer on the
fundamentals of quantized semiconductor structures was published as
an introductory chapter in Raymond Dingle's edited volume (24) of
Semiconductors and Semimetals. Having already been praised by
reviewers for its excellent coverage, this material is now
available in an updated and expanded "student edition." This work
promises to become a standard reference in the field. It covers the
basics of electronic states as well as the fundamentals of optical
interactions and quantum transport in two-dimensional quantized
systems. This revised student edition also includes entirely new
sections discussing applications and one-dimensional and
zero-dimensional systems.
The concept of network as a mathematical description of a set of
states, or events, linked according to a certain topology has been
developed recently and has led to a novel approach of real world.
This approach is no doubt important in the field of biology. In
fact biological systems can be considered networks. Thus, for
instance, an enzyme-catalysed reaction is a network that links,
according to a certain topology, the various states of the protein
and of its complexes with the substrates and products of the
chemical reaction. Connections between neurons, social relations in
animal and human populations are also examples of networks. Hence
there is little doubt that the concept of network transgresses the
boundaries between traditional scientific disciplines.
Situated within the richest oil area in the world, the Arabian Gulf represents a stressed ecosystem with scarce published data and environmental studies.
"Pharmacogenomics: Challenges and Opportunities in Therapeutic
Implementation" includes discussions and viewpoints from the
academic, regulatory, pharmaceutical, clinical, socio-ethical and
economic perspectives. Each chapter presents an overview of the
potential or opportunity within the areas discussed and also
outlines foreseeable challenges and limitations in moving
pharmacogenomics into drug development and direct therapeutic
applications. This edited book contains review questions for a more
in-depth analysis of the implications of pharmacogenomics and
discussion points to generate ideas on best to move the field
forward. Clinical pearls and case studies are used to illustrate
real-life experiences and both successful and unsuccessful
applications. Tables, figures, and annotations are included
throughout the book to facilitate understanding and further
reference. A companion website offers an elaboration on key points and discussion questions and provides patient case scenarios that illustrate how pharmacogenomics may be applied to a clinical setting |
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