This comprehensive text begins with the standard quantization of electrodynamics and perturbative renormalization, advancing to functional methods, relativistic bound states, broken symmetries, nonabelian gauge fields, and asymptotic behavior. 1980 edition.
An introduction to economic applications of the theory of continuous-time finance that strikes a balance between mathematical rigor and economic interpretation of financial market regularities. This book introduces the economic applications of the theory of continuous-time finance, with the goal of enabling the construction of realistic models, particularly those involving incomplete markets. Indeed, most recent applications of continuous-time finance aim to capture the imperfections and dysfunctions of financial markets—characteristics that became especially apparent during the market turmoil that started in 2008. The book begins by using discrete time to illustrate the basic mechanisms and introduce such notions as completeness, redundant pricing, and no arbitrage. It develops the continuous-time analog of those mechanisms and introduces the powerful tools of stochastic calculus. Going beyond other textbooks, the book then focuses on the study of markets in which some form of incompleteness, volatility, heterogeneity, friction, or behavioral subtlety arises. After presenting solutions methods for control problems and related partial differential equations, the text examines portfolio optimization and equilibrium in incomplete markets, interest rate and fixed-income modeling, and stochastic volatility. Finally, it presents models where investors form different beliefs or suffer frictions, form habits, or have recursive utilities, studying the effects not only on optimal portfolio choices but also on equilibrium, or the price of primitive securities. The book strikes a balance between mathematical rigor and the need for economic interpretation of financial market regularities, although with an emphasis on the latter.
This publication is based on a Symposium that has been held in Clearwater, Florida on February 19-21, 1986, on antibodies, their structure, synthesis, function, and clinical applicability in disease. Organization of this symposium by the University of South Florida College of Medicine was prompted by the unparalleled current expansion of information on these topics in general, and in the field of antibody diver sity, in particular. The issues that surround the last named dimension of this field, began to surface in the late 1950's with the first conclusive genetic studies having been answered, and a new set of concepts has been de fined. As we see it from the material presented in this volume, now new and different questions are being raised and answered by studies in progress, and it may be expected that there will be other questions that will be with us for a considerably longer time. We believe that the symposium brought together many prominent investi gators with different backgrounds and training experiences such as immunolo gists, microbiologists, biochemists, molecular biologists, and clinical sci entists, thus providing an excellent example of the interdisciplinary value of modern immunology and modern biomedical science in general. We believe, therefore, that bringing these complex topics to a wide audience of bio medical scientists through this symposium as well as this volume is of value to the scientific and to the medical community.
Learning solid state physics involves a certain degree of maturity, since it involves tying together diverse concepts from many areas of physics. The objective is to understand, in a basic way, how solid materials behave. To do this one needs both a good physical and mathematical background. One definition of solid state physics is that it is the study of the physical (e.g. the electrical, dielectric, magnetic, elastic, and thermal) properties of solids in terms of basic physical laws. In one sense, solid state physics is more like chemistry than some other branches of physics because it focuses on common properties of large classes of materials. It is typical that solid state physics emphasizes how physics properties link to electronic structure. We have retained the term solid state physics, even though condensed matter physics is more commonly used. Condensed matter physics includes liquids and non-crystalline solids such as glass, which we shall not discuss in detail. Modern solid state physics came of age in the late thirties and forties, and had its most extensive expansion with the development of the transistor, integrated circuits, and microelectronics. Most of microelectronics, however, is limited to the properties of inhomogeneously doped semiconductors. Solid state physics includes many other areas of course; among the largest of these are ferromagnetic materials, and superconductors. Just a little less than half of all working physicists are in condensed matter. A course in solid state physics typically begins with three broad areas: (1) How and why atoms bind together to form solids, (2) Lattice vibrations and phonons, and (3) Electrons in solids. One would then typically apply the above to (4) Interactions especially of electrons with phonons, (5) Metals, the Fermi surface and alloys, (6) Semiconductors, (7) Magnetism, (8) Superconductivity, (9) Dielectrics and ferroelectrics, (10) Optical properties, (11) Defects, and (12) Certain other modern topics such as layered materials, quantum Hall effect, mesoscopics, nanophysics, and soft condensed matter. In this book, we will consider all of these.
This groundbreaking text provides the necessary instructions for hands-on application of this versatile materials characterization technique and is supported by over 600 illustrations and diagrams.
This volume presents a full mathematical exposition of the growing field of coronal seismology which will prove invaluable for graduate students and researchers alike. Roberts' detailed and original research draws upon the principles of fluid mechanics and electromagnetism, as well as observations from the TRACE and SDO spacecraft and key results in solar wave theory. The unique challenges posed by the extreme conditions of the Sun's atmosphere, which often frustrate attempts to develop a comprehensive theory, are tackled with rigour and precision; complex models of sunspots, coronal loops and prominences are presented, based on a magnetohydrodynamic (MHD) view of the solar atmosphere, and making use of Faraday's concept of magnetic flux tubes to analyse oscillatory phenomena. The rapid rate of progress in coronal seismology makes this essential reading for those hoping to gain a deeper understanding of the field.
Weiner introduces -- and offers his own motivation for producing - - this most impressive work with the following: There are two distinct approaches to the study of motivation. One stratagem is a product of academic, experimental procedures, while the second is an outgrowth of clinical, non-experimental methods. Each of the approaches has unique advantages and disadvantages. But all investigators in this field are guided by a single basic question, namely, "Why do organisms think and behave as they do?" To help answer that basic question, Human Motivation presents an entire range of motivation studies -- from psychoanalytic, social learning and humanistic theory; to social facilitation, arousal, emotions, personal responsibility, and the irrationality of attributions; through chapterand verse of Hullian and Lewinian theory.
The book points out what has gone wrong with physics since Einstein's formulation of this theory of general relativity a century ago. It points out inconsistencies and fallacies in the standard model of the big bang and the inflationary scenario which was supposed to have overcome those shortcomings, the evolution of string theory from a theory of the strong interaction to a theory of gravitation and quantum mechanics which has not produced a single verifiable prediction, and what it has accomplished is reaffirming wrong results like the entropy of a black hole, which is not an entropy at all. There have even been attempts to demote gravity to an emergent phenomenon with catastrophic effects. We know exactly what happened at 10-34 seconds after the big bang, but do not know how fast gravity propagates, whether gravitational waves exist, and what are the limits of Newton's law. Attempts to rectify this are the prediction of dark energy/matter, which has never been observed nor ever will, and MOND. The latter is really not a modification of Newtonian mechanics, but a transformation of a dynamical law into a statistical one.
The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook. This method, presented by Ramanujan as an application of the Euler-MacLaurin formula, is here extended using a difference equation in a space of analytic functions. This provides simple proofs of theorems on the summation of some divergent series. Several examples and applications are given. For numerical evaluation, a formula in terms of convergent series is provided by the use of Newton interpolation. The relation with other summation processes such as those of Borel and Euler is also studied. Finally, in the last chapter, a purely algebraic theory is developed that unifies all these summation processes. This monograph is aimed at graduate students and researchers who have a basic knowledge of analytic function theory.
This book provides a synthesis of the physiography and geodynamics of the entire Pyrenean orogen and its foreland basins, providing the "big picture" (structure of the orogen and chronology of its formation, overview of its post-orogenic evolution, and Quaternary and recent landscape history). One part of the book proposes a 6–7 day itinerary across the eastern and east-central Pyrenees, two areas that currently provide the richest, best-documented, and most carefully curated database on the post-orogenic evolution of the mountain belt. The book deals with three complementary topics: (i) geodynamics, i.e. the long-term post-orogenic evolution of the Pyrenees since the declining stages of tectonic collision ca. 30 million years ago, and within the wider reference frame of Iberia, the Western Mediterranean, and the Atlantic margin; (ii) geomorphological processes and landforms that have conspired to shape the eastern part of the French and Spanish Pyrenees in response to base-level and climate-related changes over than same time period; (iii) geoheritage, i.e. educational vignettes of the flagship landscape units and typical geological sections of the study area. Written as a field guide, it is designed to help readers to construct discovery-based itineraries through the region (with options and variants depending on time and physical ability), allowing them to appreciate the key landscape and geoheritage features over the course of 1 week, with potential for much more. This GeoGuide is primarily aimed at confirmed geoscientists from most disciplines in Earth science, at postgraduate students engaged in field studies, and at curiosity-driven, educated amateurs keen to enhance their understanding of spectacular or enigmatic features encountered on their travels.
Penalising a process is to modify its distribution with a limiting procedure, thus defining a new process that differs from the original. This book presents a number of examples of such penalisations in the Brownian and Bessel processes framework.
Designed to prepare students to become aeronautical engineers who can face new and challenging situations. Retaining the same philosophy as the two preceding editions, this update emphasizes basic principles rooted in the physics of flight, essential analytical techniques along with typical stability and control realities. This edition features a full set of exercises and a complete Solution's Manual. In keeping with current industry practice, flight equations are presented in dimensional state-vector form. The chapter on closed-loop control has been greatly expanded with details on automatic flight control systems. Uses a real jet transport (the Boeing 747) for many numerical and worked-out examples.
This work aims to contribute to our understanding of the effects of noise and non-uniform interactions in populations of oscillatory units. In particular, we explore the collective dynamics in various extensions of the Kuramoto model. We develop a theoretical framework to study such noisy systems and we show through many examples that indeed new insights can be gained with our method. The first step is to coarse-grain the complex networks. The oscillatory units are then characterized solely by their individual quantities, so that identical units can be grouped together. The second step consists of the ansatz that in all these groups the distributions of the oscillators' phases follow time-dependent Gaussians. We apply this analytical two-step method to oscillator networks with correlations between coupling strengths and natural frequencies, to populations with mixed positive and negative coupling strengths, and to noise-driven active rotators, which can perform excitable dynamics. We calculate the rich phase diagrams that delineate the emergent rhythms. Extensive numerical simulations are performed to show both the validity and the limitations of our theoretical results.
This second edition of Dissipative Systems Analysis and Control has been substantially reorganized to accommodate new material and enhance its pedagogical features. It examines linear and nonlinear systems with examples of both in each chapter. Also included are some infinite-dimensional and nonsmooth examples. Throughout, emphasis is placed on the use of the dissipative properties of a system for the design of stable feedback control laws.
Authored by three prominent specialists in the field, this text provides comprehensive coverage of diagnostic and treatment modalities for optimal glaucoma management. Revised throughout, this new edition presents the latest guidance in clinical examination, randomized trials, medical treatment, laser therapy, and surgical procedures. Hundreds of illustrations-with many classic black and white figures from the previous editions supplemented with new color images-depict the features of glaucomas and step-by-step procedures for their management, while expanded use of highlighted boxes, lists, and summary tables make the material easy to access. Evidence-based and updated information on all aspects of the glaucomas-including physiology, genetics, interventional trials, and new surgical techniques-offer a well-rounded foundation of knowledge for making the most informed diagnoses and choosing the most effective course of treatment. Combines the cumulative experience of three prominent glaucoma specialists-addressing a full range of clinical needs for practitioners of all levels-for a uniquely written coherent perspective.Includes extensive references to current and historically important sources to provide comprehensive interpretation of the latest medical literature. Synthesizes a classical approach to the glaucomas-based on seven earlier editions spanning over 40 years-with the most up-to-date evidence-based and epidemiologically-derived classifications and outcomes.Coherently correlates with authoritative consensus documents on key areas of glaucoma, drawn up by the world-wide specialists of the World Glaucoma Association, and reprinted in the text.Revamps traditional teachings on the angle closure glaucomas, in concert with the newest international literature and technologies, to keep you up to date on the latest advances.Illustrates detailed surgical interventions applicable to the complete spectrum of clinical settings-from the developing world through contemporary operating rooms.Examines the newest and most promising developments in pharmacology, laser and surgical advances for glaucoma management, to enable you to choose the most effective patient approach.Illustrates invaluable but little-known instruments for clinical and research diagnoses, including optic nerve cupping scales, bleb assessment instruments, and more.
Appropriate for a two-term course, this text is an introduction to calculus as applied to business, economics, the life- and physical sciences, the social sciences, and many general areas of interest to students. A course in intermediate algebra is prerequisite for the text. This revised and updated edition (2nd was 1988) contains a greater emphasis on graphing, and significantly expands the number of applications, with those relating to business and economics increased by about 40%. Annotation copyright by Book News, Inc., Portland, OR
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