الصفحة 8
الصفحة 8
Hamiltonian dynamical systems and applications
This volume is the collected and extended notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the modern theory of the subject were covered at this event, including low dimensional problems as well as the theory of Hamiltonian systems in infinite dimensional phase space; these are described in depth in this volume. Applications are also presented to several important areas of research, including problems in classical mechanics, continuum mechanics, and partial differential equations. These lecture notes cover many areas of recent mathematical progress in this field, including the new choreographies of many body orbits, the development of rigorous averaging methods which give hope for realistic long time stability results, the development of KAM theory for partial differential equations in one and in higher dimensions, and the new developments in the long outstanding problem of Arnold diffusion.
Greens Functions in Quantum Physics
The main part of this book is devoted to the simplest kind of Green's functions, namely the solutions of linear differential equations with a -function source. It is shown that these familiar Green's functions are a powerful tool for obtaining relatively simple and general solutions of basic problems such as scattering and bound-level information. The bound-level treatment gives a clear physical understanding of "difficult" questions such as superconductivity, the Kondo effect, and, to a lesser degree, disorder-induced localization. The more advanced subject of many-body Green's functions is presented in the last part of the book.
Green Function Theory of Chemisorption
The book provides an introduction to the Green-Function (GF) theory of chemisorption. It is self-contained, and requires only a basic knowledge of quantum mechanics and solid-state physics. The GF approach lends itself well to the pedagogically desirable modellistic treatment of the subject. Throughout each chapter, step-by-step details are provided by which the calculations are performed, so that readers are led from the simple to the more advanced aspects, in a straightforward manner. In this way, students gain confidence to read the current literature on their own.
Gravity, Black Holes, and the Very Early Universe : An Introduction to General Relativity and Cosmology
In the early 1900s, Albert Einstein formulated two theories that would forever change the landscape of physics: the Special Theory of Relativity and the General Theory of Relativity. By 1925, quantum mechanics had been born out of the dissection of these two theories, and shortly after that, relativistic quantum field theory. We now had in place some important ties between the laws of physics and the types of particle interactions the new physics was uncovering. Gravity is one of the four types of forces that are found throughout the universe. In fact, although it is a relatively weak force, it operates at huge distances, and so must be accounted for in any cosmological system. Unfortunately, gravity continues to defy our neat categorization of how all the forces in nature work together.
Global Smoothness and Shape Preserving Interpolation by Classical Operators
This monograph examines and develops the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP) in the field of interpolation of functions. The study is developed for the univariate and bivariate cases using well-known classical interpolation operators of Lagrange, Grünwald, Hermite-Fejér and Shepard type. One of the first books on the subject, it presents interesting new results alongwith an excellent survey of past research.
Gesture in Human-Computer Interaction and Simulation ; 6th International Gesture Workshop, GW 2005, Berder Island, France, May 18-20, 2005, Revised Selected Papers
The international Gesture Workshops have become the leading interdisciplinary events for dissemination of the latest results on gesture-based communication. The goal of these workshops is to bring together researchers who want to meet and share ideas on advanced research on gesture related to multidisciplinary scienti?c ?elds. Depending on the ?elds, the objectives can be very di?erent. While physiology and biomechanics aim to extract fundamental knowledge of physical gesture, computer sciences try to capture di?erent aspects of gesture and extract features that help to identify, interpret or rebuild the underlying mechanisms of communication gestures. Other approaches and methodologies are followed by cognitive sciences and linguistics, bringing a complementary - derstanding of motor control and gesture meaning. The results can be enhanced by technological applications or demonstrations.
Geotechnics of Roads : Fundamentals
Presents stresses and strains in road structures, water and heat migration within and between layers of road materials, and the effects of water on the strength and stiffness of those materials. It includes a deep analysis of soil compaction, one of the most important issues in road construction. Compaction accounts for only a small proportion of a construction budget but its effects on the long-term performance of a road are decisive. In addition, the book describes methodologies for nondestructive road evaluation including analysis of continuous compaction control, a powerful technique for real-time quality control of road structures.
Geotechnics of Roads : Advanced Analysis and Modeling
Develops 23 extended examples that cover most of the theoretical aspects presented in the book Geotechnics of Roads: Fundamentals. Moreover, for most examples, Volume 2 describes algorithms for solving complex problems and provides Matlab® scripts for their solution.
Geotechnical Slope Analysis
The influence of initial stresses, pore water pressures and seismic forces has been explored not only on performance indicators such as the ‘Factor of Safety’ but also on the location of critical slip surfaces. In addition to these factors, it is shown that the chosen method of analysis may also have a significant influence on the location of the critical slip surface. This book focuses on research studies concerning slope behaviour, the occurrence of landslides and the use of alternative methods of analysis and interpretation. The importance of uncertainties in slope performance and, more broadly, in geotechnical engineering is emphasised.
Geotechnical Engineering for Disaster Mitigation and Rehabilitation ; Proceedings of the 2nd International Conference GEDMAR08, Nanjing, China 30 May – 2 June, 2008
"Geotechnical Engineering for Disaster Mitigation and Rehabilitation" presents the latest developments and case studies in the field. All contributions to this proceedings were rigorously reviewed to cover the newest developments in disasters related to earthquakes, landslides and slopes, soil dynamics, risk assessment and management, disaster mitigation and rehabilitation, and others.
Geotechnical Earthquake Engineering
This book presents all issues of earthquake geotechnical engineering in a comprehensive way. It summarizes the present knowledge on earthquake hazards and their causative mechanisms, experimental studies on nonlinear complex soil behaviour, an analysis to predict ground behaviour during earthquakes, field studies to determine nature of real ground as input data for analysis, and damage mitigation technologies.
GeomInt–Mechanical Integrity of Host Rocks
This book summarizes the results of the collaborative project “GeomInt: Geomechanical integrity of host and barrier rocks - experiment, modeling and analysis of discontinuities” within the Program: Geo Research for Sustainability (GEO: N) of the Federal Ministry of Education and Research (BMBF).
Geometry of Quantum Theory ; 2nd ed.
This book a classic on the foundations of quantum theory. This view, which is essentially geometric and relies on the concept of symmetry. The mathematical treatment of symmetry in quantum theory is based on the theory of group representations, and this book includes a self-contained treatment of the parts of this theory that are most useful in quantum physics.
Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics
This book explores the foundations of hamiltonian dynamical systems and statistical mechanics, in particular phase transition, from the point of view of geometry and topology. A broad participation of topology in these fields has been lacking and this book will provide a welcome overview of the current research in the area, in which the author himself is a pioneer. Using geometrical thinking to solve fundamental problems in these areas, compared to the purely analytical methods usually used in physics could be highly productive. The author skillfully guides the reader, whether mathematician or physicists through the background needed to understand and use these techniques.
Geometrical dynamics of complex systems : A unified modelling approach to physics, control, biomechanics, neurodynamics and psycho-socio-economical dynamics
This volume presents a comprehensive introduction into rigorous geometrical dynamics of complex systems of various natures. By "complex systems", in this book are meant high-dimensional nonlinear systems, which can be (but not necessarily are) adaptive. This monograph proposes a unified geometrical approach to dynamics of complex systems of various kinds: engineering, physical, biophysical, psychophysical, sociophysical, econophysical, etc. The main objective of this book is to show that high-dimensional nonlinear systems in "real life" can be modeled and analyzed using rigorous mathematics, which enables their complete predictability and controllability, as if they were linear systems.
Geometric mechanics on riemannian manifolds : Applications to partial differential equations
This work presents a purely geometric treatment of problems in physics involving quantum harmonic oscillators, quartic oscillators, minimal surfaces, and Schrödinger's, Einstein's and Newton's equations. Historically, problems in these areas were approached using the Fourier transform or path integrals, although in some cases (e.g., the case of quartic oscillators) these methods do not work. New geometric methods are introduced in the work that have the advantage of providing quantitative or at least qualitative descriptions of operators, many of which cannot be treated by other methods. And, conservation laws of the Euler–Lagrange equations are employed to solve the equations of motion qualitatively when quantitative analysis is not possible. It includes : Lagrangian formalism on Riemannian manifolds; energy momentum tensor and conservation laws; Hamiltonian formalism; Hamilton–Jacobi theory; harmonic functions, maps, and geodesics; fundamental solutions for heat operators with potential; and a variational approach to mechanical curves.
Geodynamics of the Lithosphere : An Introduction
This second edition of the important introductory text for earth scientists has been thoroughly revised and extended. It contains chapters on heat flow, sedimentary basin modeling, the mechanics of continental deformation, PT path modeling, geomorphology, mass transfer and more.
Generator remote controlling using internet connection
The traditional technique of monitoring the electricity generated through regular checks on the alternator variables: oil, temperature, voltage and current on a daily basis. Therefore, maintaining a normal performance cycle requires hard work and is often imprecise. The idea is to create an application that monitors wireless generators using the popular smartphone Android operating system. Implemented sensors deliver analog signals that provide real-time data on the status of the generator. This data is converted and programmed through the Node MCU microcontroller, which reads the results from the sensors and then converts into a signal, which is transmitted to the android phone, through a router. Thus live feedback of the generator status is ensured. In addition, this project provides a control button that can actually turn this generator on and off. This project is the first step towards bringing systems and control together as it revolutionizes the ideology of monitoring and displaying real-time data that can be implemented in different fields according to different needs. These fields include electricity, mechanics, and communications.
General Relativity
This book offers an alternative to other textbooks on the subject, providing a more specific discussion of numerous general relativistic effects for readers who have knowledge of classical mechanics and electrodynamics, including special relativity. Coverage includes gravitational lensing, signal retardation in the gravitational field of the Sun, the Reissner-Nordström solution, selected spin effects, the resonance transformation of an electromagnetic wave into a gravitational one, and the entropy and temperature of black holes. The book includes numerous problems at various levels of difficulty, making it ideal also for independent study by a broad readership of advanced students and researchers.
Gas Transport in Porous Media
This book presents a compilation of state-of-the art studies on gas and vapor transport processes in porous and fractured media. A broad set of models and processes is presented, including advection/diffusion, the Dusty Gas Model, enhanced vapor diffusion, phase change, coupled processes, solid/vapor sorption, and vapor-pressure lowering. Numerous applications are also presented that illustrate these processes and models in current problems facing the scientific community.
