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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 volume is a rigorous cross-disciplinary theoretical treatment of electromechanical and magnetomechanical interactions in elastic solids. Using the modern style of continuum thermomechanics (but without excessive formalism) it starts from basic principles of mechanics and electromagnetism, and goes on to unify these two fields in a common framework. It treats linear and nonlinear static and dynamic problems in a variety of elastic solids such as piezoelectrics, electricity conductors, ferromagnets, ferroelectrics, ionic crystals and ceramics. Chapters 1-3 are introductory, describing the e

Continuum mechanics. --- Electromagnetic interactions. --- Elastic solids. --- Continuum mechanics --- Mechanics --- Solids --- Statics --- Interactions, Electromagnetic --- Nuclear reactions --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics)

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Physics --- -Quantum field theory --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Philosophy --- Quantum field theory. --- Philosophy. --- Quantum field theory

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Mathematical physics --- Engineering mathematics --- Field theory (Physics) --- Physique mathématique --- Mathématiques de l'ingénieur --- Champs, Théorie des (Physique) --- 517.9 --- Physical mathematics --- Physics --- Classical field theory --- Continuum physics --- Continuum mechanics --- Engineering --- Engineering analysis --- Mathematical analysis --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Mathematics --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Physique mathématique --- Mathématiques de l'ingénieur --- Champs, Théorie des (Physique)

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Low temperatures --- Superconductivity --- Superfluidity --- Critical phenomena (Physics) --- Astrophysics --- Gravitation --- Congresses --- -Critical phenomena (Physics) --- -Gravitation --- -Low temperatures --- -Superconductivity --- -Superfluidity --- -536.483 --- Astronomical physics --- Astronomy --- Cosmic physics --- Physics --- Condensed degenerate gases --- Degenerate gases, Condensed --- Superfluids --- Liquid helium --- Quantum statistics --- Electric conductivity --- Critical currents --- Cryogenics --- Low temperature physics --- Temperatures, Low --- Temperature --- Cold --- Field theory (Physics) --- Matter --- Antigravity --- Centrifugal force --- Relativity (Physics) --- Phenomena, Critical (Physics) --- Very low temperatures. Cryogenics --- Properties --- Congresses. --- 536.483 Very low temperatures. Cryogenics --- 536.483 --- Low temperatures - Congresses --- Superconductivity - Congresses --- Superfluidity - Congresses --- Critical phenomena (Physics) - Congresses --- Astrophysics - Congresses --- Gravitation - Congresses --- Fairbank, William Martin, - 1917 --- -Astrophysics