Lagrangian Interaction

ISBN-13: 9780367091330 / Angielski / Twarda / 2019 / 592 str.

Noel Doughty

Opis

This book is an introduction to Lagrangian mechanics, starting with Newtonian physics and proceeding to topics such as relativistic Lagrangian fields and Lagrangians in General Relativity, electrodynamics, Gauge theory, and relativistic gravitation. The mathematical notation used is introduced and explained as the book progresses, so it can be understood by students at the undergraduate level in physics or applied mathmatics, yet it is rigorous enough to serve as an introduction to the mathematics and concepts required for courses in relativistic quantum field theory and general relativity.

Spis treści

Galilean Relativity And Newtonian Physics * Introduction * Space and Time * Euclidean Geometry * Tensor Fields in Euclidean Spacetime * Spacetime Kinematics and Galilean Relativity * Newtonian Mechanics * Newtonian Gravity Lagrangian Interaction And Symmetry * Euler-Lagrange Equations of Motion * Symmetries and Noethers Theorem * Non-relativistic Lagrangian Fields * Hamiltonian Dynamics Poincare Covariance And Einsteinian Physics * Special Relativity * Poincare Transformations * Tensor Fields in Minkowskian Spacetime * Einsteinian Mechanics Electrodynamic And Gravitational Fields * Relativistic Lagrangian Fields * Relativistic Scalar Gravity * Maxwells Equations * Electrodynamics * Gauge Principle * Relativistic Gravitation

O autorze

Noel Doughty