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Books > Science & Mathematics > Physics > General
Physics: Imagination and Reality introduces the reader to major ideas and the conceptual structure of modern physics, by tracing its development from the introduction of fields into physics by Faraday and Maxwell in the last century. Because the approach is historical, the book provides a comprehensive overview of the subjects. It should appeal to anyone interested in a basic understanding of the contemporary physicists view of the physical world. It avoids all but the simplest mathematics and presents ideas and concepts in everyday language.Physics: Imagination and Reality attempts to provide educated citizens with an understanding of contemporary physics and, at the same time, shows that its ideas have a grandeur, a challenge to the imagination and an aesthetic appeal which merit its recognition as an integral part of our culture.
The proceedings of the conference is devoted mainly to the mathematically rigorous approaches to the problems of quantum mechanics. The spectral properties of Schroedinger operators, including those on regions with a boundary and their generalizations, scattering theory and resonances, time-dependent Hamiltonians and quantum chaos, problems of statistical physics like spin systems, and others are discussed.
The study of phase transitions is among the most fascinating fields in physics. Originally limited to transition phenomena in equilibrium systems, this field has outgrown its classical confines during the last two decades. The behavior of far from equilibrium systems has received more and more attention and has been an extremely active and productive subject of research for physicists, chemists and biologists. Their studies have brought about a more unified vision of the laws which govern self-organization processes of physico-chemical and biological sys tems. A major achievement has been the extension of the notion of phase transi tion to instabilities which occur only in open nonlinear systems. The notion of phase transition has been proven fruitful in apphcation to nonequilibrium ins- bihties known for about eight decades, like certain hydrodynamic instabilities, as well as in the case of the more recently discovered instabilities in quantum optical systems such as the laser, in chemical systems such as the Belousov-Zhabotinskii reaction and in biological systems. Even outside the realm of natural sciences, this notion is now used in economics and sociology. In this monograph we show that the notion of phase transition can be extend ed even further. It apphes also to a new class of transition phenomena which occur only in nonequilibrium systems subjected to a randomly fluctuating en vironment."
Physics has been applied to medical diagnosis for very nearly 400 years, and has now become an essential element of medical practice. This book concentrates on the theoretical basis of the physics which supports diagnostic techniques in modern clinical practice. Arising out of over a decade of teaching a course on medical physics to third year undergraduate students, the book has been structured so that individuals with a non-physics background, such as medical students or practitioners, can also benefit.
This book should be considered as an introduction to a special dass of hierarchical systems of optimal control, where subsystems are described by partial differential equations of various types. Optimization is carried out by means of a two-level scheme, where the center optimizes coordination for the upper level and subsystems find the optimal solutions for independent local problems. The main algorithm is a method of iterative aggregation. The coordinator solves the problern with macrovariables, whose number is less than the number of initial variables. This problern is often very simple. On the lower level, we have the usual optimal control problems of math ematical physics, which are far simpler than the initial statements. Thus, the decomposition (or reduction to problems ofless dimensions) is obtained. The algorithm constructs a sequence of so-called disaggregated solutions that are feasible for the main problern and converge to its optimal solutionunder certain assumptions ( e.g., under strict convexity of the input functions). Thus, we bridge the gap between two disciplines: optimization theory of large-scale systems and mathematical physics. The first motivation was a special model of branch planning, where the final product obeys a preset assortment relation. The ratio coefficient is maximized. Constraints are given in the form of linear inequalities with block diagonal structure of the part of a matrix that corresponds to subsystems. The central coordinator assem bles the final production from the components produced by the subsystems."
Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory. It aims to provide newcomers to the field with solid foundations in topological K-theory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object. One renewed motivation for studying this subject, comes from quantum field theory, where topological invariants play an important role.
This book consists of a series of introductory lectures on mirror symmetry and its surrounding topics. These lectures were provided by participants in the PIMS Superschool for Derived Categories and D-branes in July 2016. Together, they form a comprehensive introduction to the field that integrates perspectives from mathematicians and physicists alike. These proceedings provide a pleasant and broad introduction into modern research topics surrounding string theory and mirror symmetry that is approachable to readers new to the subjects. These topics include constructions of various mirror pairs, approaches to mirror symmetry, connections to homological algebra, and physical motivations. Of particular interest is the connection between GLSMs, D-branes, birational geometry, and derived categories, which is explained both from a physical and mathematical perspective. The introductory lectures provided herein highlight many features of this emerging field and give concrete connections between the physics and the math. Mathematical readers will come away with a broader perspective on this field and a bit of physical intuition, while physicists will gain an introductory overview of the developing mathematical realization of physical predictions.
This book is about the importance of random phenomena occurring in nature. Cases are selected in which randomness is most important or crucial, such as Brownian motion, certain reactions in Physical Chemistry and Biology, and intermittency in magnetic field generation by turbulent fluid motion, etc. Due to "almighty chance" the structures can originate from chaos even in linear problems. This idea is complementary as well as competes with a basic concept of synergetics where structures appear mainly due to the pan-linear nature of phenomena. This book takes a new look at the problem of structure formation in random media, qualitative physical representation of modern conceptions, intermittency, fractals, percolation and many examples from different fields of science.
This book is about the importance of random phenomena occurring in nature. Cases are selected in which randomness is most important or crucial, such as Brownian motion, certain reactions in Physical Chemistry and Biology, and intermittency in magnetic field generation by turbulent fluid motion, etc. Due to "almighty chance" the structures can originate from chaos even in linear problems. This idea is complementary as well as competes with a basic concept of synergetics where structures appear mainly due to the pan-linear nature of phenomena. This book takes a new look at the problem of structure formation in random media, qualitative physical representation of modern conceptions, intermittency, fractals, percolation and many examples from different fields of science.
In the past decades now a famous class of evolution equations has been discovered and intensively studied, a class including the nowadays celebrated Korteweg-de Vries equation, sine-Gordon equation, nonlinear Schr] odinger equation, etc. The equations from this class are known also as the soliton equations or equations solvable by the so- called Inverse Scattering Tra- form Method. They possess a number of interesting properties, probably the most interesting from the geometric point of view of being that most of them are Liouville integrable Hamiltonian systems. Because of the importance of the soliton equations, a dozen monographs have been devoted to them. H- ever, the great variety of approaches to the soliton equations has led to the paradoxical situation that specialists in the same ?eld sometimes understand eachotherwithdi?culties. Wediscovereditourselvesseveralyearsagoduring a number of discussions the three of us had. Even though by friendship binds us, we could not collaborate as well as we wanted to, since our individual approach to the ?eld of integrable systems (?nite and in?nite dimensional) is quite di?erent. We have become aware that things natural in one approach are di?cult to understand for people using other approaches, though the - jects are the same, in our case - the Recursion (generating) Operators and theirapplicationsto?niteandin?nitedimensional(notnecessarilyintegrable) Hamiltonian systems."
This volume features selected and peer-reviewed articles from the Pan-American Advanced Studies Institute (PASI). The chapters are written by international specialists who participated in the conference. Topics include developments based on breakthroughs in the mathematical understanding of phenomena describing systems in highly inhomogeneous and disordered media, including the KPZ universality class (describing the evolution of interfaces in two dimensions), random walks in random environment and percolative systems. PASI fosters a collaboration between North American and Latin American researchers and students. The conference that inspired this volume took place in January 2012 in both Santiago de Chile and Buenos Aires. Researchers and graduate students will find timely research in probability theory, statistical physics and related disciplines.
This is the second volume in the series that focuses on the International Objective Measurement Workshops and the work of Georg Rasch. In the area of practice, two major clusters of new work are reported in this volume: a national pilot study of computer-adaptive testing in professional licensure and applications of a type of Rasch model called the Facet Model.
This volume will be the first reference book devoted specially to the Yang-Baxter equation. The subject relates to broad areas including solvable models in statistical mechanics, factorized S matrices, quantum inverse scattering method, quantum groups, knot theory and conformal field theory. The articles assembled here cover major works from the pioneering papers to classical Yang-Baxter equation, its quantization, variety of solutions, constructions and recent generalizations to higher genus solutions.
As the interaction of mathematics and theoretical physics continues to intensify, the theories developed in mathematics are being applied to physics, and conversely. This book centers around the theory of primitive forms which currently plays an active and key role in topological field theory (theoretical physics), but was originally developed as a mathematical notion to define a "good period mapping" for a family of analytic structures. The invited papers in this volume are expository in nature by participants of the Taniguchi Symposium on "Topological Field Theory, Primitive Forms and Related Topics" and the RIMS Symposium bearing the same title, both held in Kyoto. The papers reflect the broad research of some of the world's leading mathematical physicists, and should serve as an excellent resource for researchers as well as graduate students of both disciplines.
How did the universe begin and how will it end? The most profound and age-old questions of existence -- for centuries the focus of religion and philosophy -- may soon be answered through the extraordinary advances of a field of science known as the new physics. In this illuminating work, Paul Davies, author of the acclaimed Other Worlds and The Edge of Infinity, writes that the discoveries of 20th-century physics -- relativity and the quantum theory -- are now pointing the way to a new appreciation of man and his place in the universe. They could, in fact, bring within our grasp a unified description of all creation. Demanding a radical reformulation of the most fundamental aspects of reality and a way of thinking that is in closer accord with mysticism than materialism, the new physics, says Davies, offers a surer path to God than religion. Described by The Washington Post as "impressive," God and the New Physics is a fascinating look at the impact of science on what were formerly religious issues. Elegantly written, a book for both scholars and lay readers of science, it is, according to the Christian Science Monitor, a "provocative...rewarding intellectual romp."
A general overview of the use of utility distribution poles, including for electric supply and communications applications Overhead Distribution Lines: Design and Applications provides information on the design and use of power and communication distribution lines. An excellent resource for those in the power and communication utilities industry, this book presents information on the physical characteristics of utility poles, overhead supply and communication cables, installation practices, joint-usage issues, and safety rules, including the National Electrical Safety Code (NESC), California-specific rules, and others. It describes how to select the proper poles for specific applications. The especially valuable final chapter provides examples showing how it all works in practice, providing a background allowing more effective use of related industry software. Rather than delving into detailed design and installation techniques, this book serves as an overview for engineers and non-technical audiences alike. At the same time, it serves as a compendium of technical information not readily available elsewhere. This unique book: Offers an overview of pole structures, pole installation and maintenance, wires and cables, and cable installation and maintenance--with examples Provides information on national standards documents such as the National Electrical Safety Code (NESC), ANSI O5.1, California General Order 95, and more Explores the "sag-tension" relationship between wires and poles Includes appendices that cover properties of messenger strands, wireless attachments, solution of equations to determine sag, under uniform and point loads Overhead Distribution Lines: Design and Applications offers readers an understanding of the basic principles and various issues related to electric supply and communications distribution lines. It is a valuable resource for utility engineers, as well as those without a technical background.
This biography explores the life and career of the Italian physicist Enrico Fermi, which is also the story of thirty years that transformed physics and forever changed our understanding of matter and the universe: nuclear physics and elementary particle physics were born, nuclear fission was discovered, the Manhattan Project was developed, the atomic bombs were dropped, and the era of "big science" began.It would be impossible to capture the full essence of this revolutionary period without first understanding Fermi, without whom it would not have been possible. Enrico Fermi: The Obedient Genius attempts to shed light on all aspects of Fermi's life - his work, motivation, influences, achievements, and personal thoughts - beginning with the publication of his first paper in 1921 through his death in 1954. During this time, Fermi demonstrated that he was indeed following in the footsteps of Galileo, excelling in his work both theoretically and experimentally by deepening our understanding of the Pauli exclusion principle, winning the Nobel Prize for his discovery of the fundamental properties of slow neutrons, developing the theory of beta decay, building the first nuclear reactor, and playing a central role in the development of the atomic bomb. Interwoven with this fascinating story, the book details the major developments in physics and provides the necessary background material to fully appreciate the dramatic changes that were taking place. Also included are appendices that provide a timeline of Fermi's life, several primary source documents from the period, and an extensive bibliography. This book will enlighten anyone interested in Fermi's work or the scientific events that led to the physics revolution of the first half of the twentieth century.
This book covers all basic areas of mechanical engineering, such as fluid mechanics, heat conduction, beams and elasticity with detailed derivations for the mass, stiffness and force matrices. It is especially designed to give physical feeling to the reader for finite element approximation by the introduction of finite elements to the elevation of elastic membrane. A detailed treatment of computer methods with numerical examples are provided. In the fluid mechanics chapter, the conventional and vorticity transport formulations for viscous incompressible fluid flow with discussion on the method of solution are presented. The variational and Galerkin formulations of the heat conduction, beams and elasticity problems are also discussed in detail. Three computer codes are provided to solve the elastic membrane problem. One of them solves the Poisson s equation. The second computer program handles the two dimensional elasticity problems and the third one presents the three dimensional transient heat conduction problems. The programs are written in C++ environment."
During the last few years, considerable interest has been focused on the phase that waves accumulate when the equations governing the waves vary slowly. The recent flurry of activity was set off by a paper by Michael Berry, where it was found that the adiabatic evolution of energy eigenfunctions in quantum mechanics contains a phase of geometric origin (now known as 'Berry's phase') in addition to the usual dynamical phase derived from Schrodinger's equation. This observation, though basically elementary, seems to be quite profound. Phases with similar mathematical origins have been identified and found to be important in a startling variety of physical contexts, ranging from nuclear magnetic resonance and low-Reynolds number hydrodynamics to quantum field theory. This volume is a collection of original papers and reprints, with commentary, on the subject.
Over the past decade, the use of Renewable Energy Technology (RET) has significantly increased around the globe. Technologies that once were considered experimental are now being deployed on commercial scales at phenomenal rates, delivering cost-effective substitutions for conventional, fossil fuel-based systems that cause problems including greenhouse gas emissions, expensive operating costs, and global pollution. But these new systems come at a costly rate, and because of this, officials must review their overall efficiency and effectiveness. Global Sustainable Development and Renewable Energy Systems pushes through the boundaries of current research to introduce the concept of an energy management information system, exploring the role of energy for sustainable development. This book goes into great detail describing the benefits of these systems for organizations, focusing on corporate sustainability initiatives and activities to combat climate change. Research presented in this publication includes modeling techniques, software applications, and case studies that reveal how renewable energy sources such as wind, solar, and biomass fuel can have a significant implications for both operating costs and environmental impacts.
This new book aims to guide both the experimentalist and theoretician through their compulsory laboratory courses forming part of an undergraduate physics degree. The rationale behind this book is to show students and interested readers the value and beauty within a carefully planned and executed experiment, and to help them to develop the skills to carry out experiments themselves.
China is the world's second largest consumer of commercial energy and is therefore a significant contributor to atmospheric pollution. It is becoming a major player in global and regional markets for energy products, services and investment. This book provides an overview of the formulation and implementation of energy policy in China. Part One provides background information on China's energy sector. Part Two examines the nature of China's energy policy and of the policy-making process, with examples drawn from the coal and natural gas sectors, as well as from the government's drive to promote energy conservation and energy efficiency. Part Three focuses on recent efforts to reform the energy sector in China and to regulate it more effectively, paying particular attention to the electrical power sector and to small-scale coal mines. Part Four evaluates, from the perspective of the citizen, policy relating to the electrical power sector and to the closure of small-scale coal mines. Part Five addresses the international dimensions of China's energy policy, with accounts of both inward and outward investment, and of the international political implications. |
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