1# Library to Find Best eBook for Read
Author : Kornél Lánczos
Release : 1970
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis The Variational Principles of Mechanics by : Kornél Lánczos
Download or read book The Variational Principles of Mechanics written by Kornél Lánczos. This book was released on 1970. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Cornelius Lanczos
Release : 2012-04-24
Genre : Science
Kind : eBook
Book Rating : 709/5 ( reviews)
Book Synopsis The Variational Principles of Mechanics by : Cornelius Lanczos
Download or read book The Variational Principles of Mechanics written by Cornelius Lanczos. This book was released on 2012-04-24. Available in PDF, EPUB and Kindle. Book excerpt: Philosophic, less formalistic approach to analytical mechanics offers model of clear, scholarly exposition at graduate level with coverage of basics, calculus of variations, principle of virtual work, equations of motion, more.
Author : Douglas Cline
Release : 2018-08
Genre :
Kind : eBook
Book Rating : 277/5 ( reviews)
Book Synopsis Variational Principles in Classical Mechanics by : Douglas Cline
Download or read book Variational Principles in Classical Mechanics written by Douglas Cline. This book was released on 2018-08. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Victor Berdichevsky
Release : 2009-09-18
Genre : Science
Kind : eBook
Book Rating : 67X/5 ( reviews)
Book Synopsis Variational Principles of Continuum Mechanics by : Victor Berdichevsky
Download or read book Variational Principles of Continuum Mechanics written by Victor Berdichevsky. This book was released on 2009-09-18. Available in PDF, EPUB and Kindle. Book excerpt: Thereareabout500booksonvariationalprinciples. Theyareconcernedmostlywith the mathematical aspects of the topic. The major goal of this book is to discuss the physical origin of the variational principles and the intrinsic interrelations between them. For example, the Gibbs principles appear not as the rst principles of the theory of thermodynamic equilibrium but as a consequence of the Einstein formula for thermodynamic uctuations. The mathematical issues are considered as long as they shed light on the physical outcomes and/or provide a useful technique for direct study of variational problems. Thebookisacompletelyrewrittenversionoftheauthor’smonographVariational Principles of Continuum Mechanics which appeared in Russian in 1983. I have been postponing the English translation because I wished to include the variational pr- ciples of irreversible processes in the new edition. Reaching an understanding of this subject took longer than I expected. In its nal form, this book covers all aspects of the story. The part concerned with irreversible processes is tiny, but it determines the accents put on all the results presented. The other new issues included in the book are: entropy of microstructure, variational principles of vortex line dynamics, va- ational principles and integration in functional spaces, some stochastic variational problems, variational principle for probability densities of local elds in composites with random structure, variational theory of turbulence; these topics have not been covered previously in monographic literature.
Author : Wolfgang Yourgrau
Release : 2012-04-26
Genre : Science
Kind : eBook
Book Rating : 131/5 ( reviews)
Book Synopsis Variational Principles in Dynamics and Quantum Theory by : Wolfgang Yourgrau
Download or read book Variational Principles in Dynamics and Quantum Theory written by Wolfgang Yourgrau. This book was released on 2012-04-26. Available in PDF, EPUB and Kindle. Book excerpt: DIVHistorical, theoretical survey with many insights, much hard-to-find material. Hamilton’s principle, Hamilton-Jacobi equation, etc. /div
