Variational Principles In Classical Mechanics
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Variational Principles In Classical Mechanics
| Author: | Douglas Cline |
| Category: | Quantum Theory [Edit] |
| Language: | English |
| Publisher: | University of Rochester |
| Release Date: | 01 Jan 2017 |
| Pages: | 587 |
| File Size: | 6.92 MB |
| Extension: | |
| Creation Date: | 08 Aug 2017 |
| Rank: | 421,761 No 1 most popular |
| Short link: | Copy |
| More books like this book | |
Book Description
Two dramatically different philosophical approaches to classical mechanics were developed 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 powerful variational formulations have become the preeminent philosophical approach used in modern science, as well as having applications to other fields such as economics and engineering. This book introduces variational principles, and illustrates the intellectual beauty, the remarkable power, and the broad scope, of applying variational principles to classical mechanics. A brief review of Newtonian mechanics compares and contrasts the relative merits of the intuitive Newtonian vectorial formulation, with the more powerful analytical variational formulations. Applications presented cover a wide variety of topics, as well as extensions to accommodate relativistic mechanics, and quantum theory. Douglas Cline is a Professor of Physics in the Department of Physics and Astronomy, University of Rochester, in Rochester, N.Y. He can be contacted through his website . This book has an editable web page on Open Library .
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