Variational Principles in Classical Mechanics

Variational Principles in Classical Mechanics
Author: Douglas Cline
Publisher:
Total Pages:
Release: 2018-08
Genre:
ISBN: 9780998837277

Two dramatically different philosophical approaches to classical mechanics were proposed during the 17th - 18th centuries. Newton developed his vectorial formulation that uses time-dependent differential equations of motion to relate vector observables like force and rate of change of momentum. Euler, Lagrange, Hamilton, and Jacobi, developed powerful alternative variational formulations based on the assumption that nature follows the principle of least action. These variational formulations now play a pivotal role in science and engineering.This book introduces variational principles and their application to classical mechanics. The relative merits of the intuitive Newtonian vectorial formulation, and the more powerful variational formulations are compared. Applications to a wide variety of topics illustrate the intellectual beauty, remarkable power, and broad scope provided by use of variational principles in physics.The second edition adds discussion of the use of variational principles applied to the following topics:(1) Systems subject to initial boundary conditions(2) The hierarchy of related formulations based on action, Lagrangian, Hamiltonian, and equations of motion, to systems that involve symmetries.(3) Non-conservative systems.(4) Variable-mass systems.(5) The General Theory of Relativity.Douglas Cline is a Professor of Physics in the Department of Physics and Astronomy, University of Rochester, Rochester, New York.

Nature

Nature
Author: Sir Norman Lockyer
Publisher:
Total Pages: 908
Release: 1893
Genre: Electronic journals
ISBN:

Principles of Modern Physics

Principles of Modern Physics
Author: Ajay K. Saxena
Publisher: Alpha Science Int'l Ltd.
Total Pages: 902
Release: 2005
Genre: Science
ISBN: 9781842652138

Principles of Modern Physics covers important developments in physics during the twentieth century. Beginning with the development of the quantum concept and radiation laws, followed by Einstein's special relativity, it covers atomic structure, basics of spectra, basic (non relativistic) quantum mechanics with an introduction to Dirac's relativistic wave equation and the problem of hydrogen atom. This follows the statistical distribution laws, X-rays and physics of solids, their imperfections, magnetic properties and superconductivity (including newly discovered high Tc superconductors), Zeeman and Stark effects, Lasers, nuclear physics, radio-activity, nuclear fission and fusion, particle accelerators and detectors. It features a discussion on Universe (including stellar evolution Chandrasekhar limit, black holes and big-bang theory), elementary particles (including tau-theta puzzle, SU(2) and SU(3) symmetry, the Eightfold- way, ...

The Bookseller

The Bookseller
Author:
Publisher:
Total Pages: 1044
Release: 1862
Genre: Bibliography
ISBN:

Official organ of the book trade of the United Kingdom.