Lagrangian interaction : an introduction to relativistic symmetry in electrodynamics and gravitation /: an introduction to relativistic symmetry in electrodynamics and gravitation. (2018)

• Record Type: Book
• Further Information: Note: Noel A. Doughty.
• Other Names: Doughty, Noel A (Noel Arthur)
• Contents: Cover; Half Title; Title Page; Copyright Page; Dedication; Preface; Table of Contents; Figures; Biographical details; I: Galilean relativity and Newtonian physics; 1: Introduction; 1.1 Fundamental particles and interactions; 1.2 Electrodynamics; 1.3 Weak-nuclear interaction; 1.4 Strong-nuclear interaction; 1.5 Gravity; 1.6 Unifying principles; 2: Space and time; 2.1 Space; 2.2 Time; 2.3 Spacetime coordinates; 2.4 Homogeneity, isotropy and curvature; 2.5 Orient ability of time and space; 3: Euclidean geometry; 3.1 Euclidean line elements; 3.2 Indexed notation and matrix multiplication 3.3 Parity3.4 Charge conjugation; 3.5 Time reversal; 3.6 Rotations; 3.7 Groups; 4: Tensor fields in Euclidean spacetime; 4.1 Euclidean scalars and scalar fields; 4.2 Euclidean vectors and vector fields; 4.3 Euclidean tensors and tensor fields; 4.4 Symmetric and antisymmetric tensors; 4.5 Proper and improper tensors; 4.6 Permutation pseudotensor; 4.7 Three-dimensional tensor duality; 4.8 Manifest Euclidean covariance; 5: Spacetime kinematics and Galilean relativity; 5.1 Introduction; 5.2 Measurement and simultaneity; 5.3 Spacetime reference frame; 5.4 Principle of relativity 5.5 Galilean and Lorentz transformations5.6 Galilean relativity; 5.7 Aristotelean and Galilean gravity; 5.8 Fibre bundle structure of Galilean spacetime; 6: Newtonian mechanics; 6.1 Newtonian dynamics and conservation; 6.2 Additivity of conserved quantities; 6.3 Interaction in Newtonian physics; 6.4 Potential energy of conservative systems; 6.5 External interaction; 6.6 Galilean covariance and conservation; 6.7 Natural equations; 7: Newtonian gravity; 7.1 Introduction; 7.2 Gravity; 7.3 Newtonâ#x80;#x99;s gravity theory; 7.4 Newtonâ#x80;#x99;s gravitation constant; 7.5 Field equations of Newtonian gravity 7.6 First-order Newtonian gravity field equations7.7 Second-order Newtonian gravity field equations; 7.8 Equations of motion in a gravitational field; 7.9 Cosmological constant; 7.10 Gauge freedom of Newtonian gravity; 7.11 Weak equivalence principle; 7.12 Michell and Laplace black holes; 7.13 Soldnerâ#x80;#x99;s gravitational deflection of light; 7.14 Deviations from Newtonian gravity; 7.15 Newton-Cartan spacetime; II: Lagrangian interaction and symmetry; 8: Euler-Lagrange equations of motion; 8.1 Introduction; 8.2 Lagrangian of a system of Newtonian particles 8.3 Momenta and configuration space Hamiltonian8.4 Generalized coordinates in mechanics; 8.5 Stationary action; 8.6 Hamiltonâ#x80;#x99;s principle of stationary action; 8.7 Functional differentiation; 8.8 Lagrangian interaction; 8.9 Newtonian gravitational Lagrangian interaction; 8.10 Constraints; 9: Symmetries and Noetherâ#x80;#x99;s theorem; 9.1 Introduction; 9.2 Point transformations of configuration space; 9.3 Invariant and covariant Lagrangians; 9.4 Hamiltonâ#x80;#x99;s modified principle of varied action; 9.5 Symmetries of Lagrangian systems; 9.6 Noether charges for mechanical systems 9.7 Noetherâ#x80;#x99;s theorem for mechanical systems
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 537.6; Electrodynamics; Gravitation; Relativity (Physics); Symmetry (Physics); SCIENCE / Physics / Electricity; SCIENCE / Physics / Electromagnetism; Electrodynamics; Gravitation; Relativity (Physics); Symmetry (Physics); Electronic books
• Languages: English
• ISBNs: 9780429493539; 0429493533; 9780429973161; 0429973160
• Related ISBNs: 9780201416251
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (EBSCO, viewed March 15, 2018)
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.