Variational Principles in Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Variational Principles in Physics write by Jean-Louis Basdevant. This book was released on 2007-03-12. Variational Principles in Physics available in PDF, EPUB and Kindle. Variational principles have proven to be surprisingly fertile. For example, Fermat used variational methods to demonstrate that light follows the fastest route from one point to another, an idea which came to be a cornerstone of geometrical optics. This book explains variational principles and charts their use throughout modern physics. It examines the analytical mechanics of Lagrange and Hamilton, the basic tools of any physicist. The book also offers simple but rich first impressions of Einstein’s General Relativity, Feynman’s Quantum Mechanics, and more that reveal amazing interconnections between various fields of physics.
Variational Principles in Classical Mechanics
Variational Principles in Classical Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Variational Principles in Classical Mechanics write by Douglas Cline. This book was released on 2018-08. Variational Principles in Classical Mechanics available in PDF, EPUB and Kindle. 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.
Variational Principles in Dynamics and Quantum Theory
Variational Principles in Dynamics and Quantum Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Variational Principles in Dynamics and Quantum Theory write by Wolfgang Yourgrau. This book was released on 1979-01-01. Variational Principles in Dynamics and Quantum Theory available in PDF, EPUB and Kindle. Historical, theoretical survey with many insights, much hard-to-find material. Covers Hamilton's principle, Hamilton-Jacobi equation, relationship to quantum theory and wave mechanics, and more.
The Variational Principles of Mechanics
The Variational Principles of Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Variational Principles of Mechanics write by Kornél Lánczos. This book was released on 1970. The Variational Principles of Mechanics available in PDF, EPUB and Kindle.
Gauge Theory and Variational Principles
Gauge Theory and Variational Principles - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Gauge Theory and Variational Principles write by David Bleecker. This book was released on 2013-01-18. Gauge Theory and Variational Principles available in PDF, EPUB and Kindle. This text provides a framework for describing and organizing the basic forces of nature and the interactions of subatomic particles. A detailed and self-contained mathematical account of gauge theory, it is geared toward beginning graduate students and advanced undergraduates in mathematics and physics. This well-organized treatment supplements its rigor with intuitive ideas. Starting with an examination of principal fiber bundles and connections, the text explores curvature; particle fields, Lagrangians, and gauge invariance; Lagrange's equation for particle fields; and the inhomogeneous field equation. Additional topics include free Dirac electron fields; interactions; calculus on frame bundle; and unification of gauge fields and gravitation. The text concludes with references, a selected bibliography, an index of notation, and a general index.
