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This 2002 book discusses the classical foundations of field theory, using the language of variational methods and covariance. It explores the limits of what can be achieved with purely classical notions, and shows how these have a deep and important connection with the second quantized field theory, which follows on from the Schwinger Action Principle. The book takes a pragmatic view of field theory, focusing on issues which are usually omitted from quantum field theory texts and cataloging results which are often hard to find in the literature. Care is taken to explain how results arise and how to interpret them physically, for graduate students starting out in the field. Many physical examples are provided, making the book an ideal supplementary text for courses on elementary field theory, group theory and dynamical systems. It will also be a valuable reference for researchers already working in these and related areas.
Field theory (Physics) --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics
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Field theory (Physics) --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics
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This volume is an introduction to differential methods in physics. Part I contains a comprehensive presentation of the geometry of manifolds and Lie groups, including infinite dimensional settings. The differential geometric notions introduced in Part I are used in Part II to develop selected topics in field theory, from the basic principles up to the present state of the art. This second part is a systematic development of a covariant Hamiltonian formulation of field theory starting from the principle of stationary action.
Geometry, Differential. --- Field theory (Physics) --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics --- Differential geometry
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This 2002 book discusses the classical foundations of field theory, using the language of variational methods and covariance. It explores the limits of what can be achieved with purely classical notions, and shows how these have a deep and important connection with the second quantized field theory, which follows on from the Schwinger Action Principle. The book takes a pragmatic view of field theory, focusing on issues which are usually omitted from quantum field theory texts and cataloging results which are hard to find in the literature. Care is taken to explain how results arise and how to interpret them physically, for graduate students starting out in the field. An ideal supplementary text for courses on elementary field theory, group theory and dynamical systems, it is also a valuable reference for researchers working in these and related areas. It has been reissued as an Open Access publication on Cambridge Core.
Field theory (Physics) --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics
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There are three volumes in this body of work. In Volume 1, we lay the foundation for a general theory of organizing. We propose that organizing is a continuous process of ongoing mutual or reciprocal influence between objects (e.g., human actors) in a field, whereby a field is infinite and connects all the objects in it much like electromagnetic fields influence atomic and molecular charged objects or gravity fields influence inanimate objects with mass such as planets and stars. We use field theory to build what we call the Network Field Model. In this model, human actors are modeled as point-like objects in the field. The influence between and investments in these point-like human objects are explained as energy exchanges (potential and kinetic), which can be described in terms of three different types of capital: financial (assets), human (the individual), and social (two or more humans in a network). This model is predicated on a field theoretical understanding of the world we live in. We use historical and contemporaneous examples of human activity and describe them in terms of the model. In Volume 2, we demonstrate how to apply the model. In Volume 3, we use experimental data to prove the reliability of the model. These three volumes will persistently challenge the reader's understanding of time, position and what it means to be part of an infinite field.
Field theory (Physics) --- Organization --- Mathematical models. --- Organisation --- Management --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics
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Algèbre, Chapitres 4 à 7 Les Éléments de mathématique de Nicolas BOURBAKI ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements. Ce deuxième volume du Livre d’Algèbre, deuxième Livre des Éléments de mathématique, traite notamment des extensions de corps et de la théorie de Galois. Il comprend les chaptires : 4. Polynômes et fractions rationnelles ; 5. Corps commutatifs 6. Groupes et corps ordonnés ; 7. Modules sur les anneaux principaux Il contient également des notes historiques. Ce volume est une nouvelle édition parue en 1981.
Algebra. --- Mathematics --- Mathematical analysis --- Field theory (Physics). --- Field Theory and Polynomials. --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics
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Electromagnetism --- Field theory (Physics) --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics --- Electromagnetics --- Magnetic induction --- Magnetism --- Metamaterials --- Electromagnetism.
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Continuum mechanics. --- Field theory (Physics) --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics --- Mechanics of continua --- Elasticity --- Mechanics, Analytic
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Field theory (Physics) --- Materials science. --- Material science --- Physical sciences --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics
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This book introduces the lattice approach to quantum field theory. The spectacular successes of this technique include compelling evidence that exchange of gauge gluons can confine the quarks within subnuclear matter. The lattice framework enables novel schemes for quantitative calculation and has caused considerable cross-disciplinary activity between elementary particle and solid state physicists. The treatment begins with the lattice definition of a path integral and ends on Monte Carlo simulation methods. Other topics include invariant group integration, duality, mean field theory and renormalization group techniques. The reader is assumed to have a basic background in relativistic quantum mechanics and some exposure to gauge theories.
Field theory (Physics) --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics --- Lattice theory. --- Gauge fields (Physics) --- Particles (Nuclear physics)
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