5 edition of **Variational principles** found in the catalog.

Variational principles

B. L. Moiseiwitsch

- 158 Want to read
- 19 Currently reading

Published
**1966**
by Interscience Publishers in London, New York
.

Written in English

- Variational principles.

**Edition Notes**

Bibliography: p. 303.

Statement | [by] B.L. Moiseiwitsch. |

Series | Interscience monographs and texts in physics and astronomy,, v. 20, Interscience monographs and texts in physics and astronomy ;, v. 20. |

Classifications | |
---|---|

LC Classifications | QC20 .M584 |

The Physical Object | |

Pagination | x, 310 p. |

Number of Pages | 310 |

ID Numbers | |

Open Library | OL5987154M |

LC Control Number | 66017233 |

The strategy of the variational principle is to use a problem we can solve to approximate a problem we can't.. More preciesly, suppose we want to solve a hard system with a plan of attack is to approximate it with a different ‘‘trial Hamiltonian’’ which has the same general ‘‘flavor’’ as the actual Hamiltonian, but (in contrast) is actually solvable. Purchase Variational and Extremum Principles in Macroscopic Systems - 1st Edition. Print Book & E-Book. ISBN ,

It is significantly easier to use variational principles to handle the scalar functionals, action, Lagrangian, and Hamiltonian, rather than starting at the equations-of-motion stage. For example, utilizing all three stages of algebraic mechanics facilitates accommodating extra degrees of . The Euler-Lagrange theory for this problem is developed and applied to dynamical systems (Hamiltonian mechanics and the least action principle), shortest time (path of light rays and Fermat's principle), shortest length and smallest area problems in geometry. The theory is extended to constrained variational problems using Lagrange multipliers.

Follo wing the tradition, variational principles are named after their author; the references are giv en in Bibliographical Comments at the end of the book. Most of the variational principles with. This book presents an exceptionally lucid and engaging development of the main variational principles of mechanics with the discussion of Noethers theorem being the most cogent I've seen. While the problems may not be exceedingly difficult, this is because the problems are intended to illuminate the ideas under discussion/5(58).

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The book provides a perfect introduction to the foundations of the all important principle of least action that pervades all of modern physics. In this regard, a nice companion to Lanczos' book is the treatise by W. Yourgrau and S. Mandelstam, " Variational Principles in Dynamics and Quantum Theory."Cited by: This is a book on variational principles in theoretical physics.

The style is clear and compact with many formulas and calculations given. It is a useful handbook on variational principles in physics and it could also serve as a text for a graduate level course.

Its main weakness is perhaps in the lack of Variational principles book of the conceptual background.5/5(1).

Well-written, authoritative, and scholarly, this classic treatise begins with an introduction to the variational principles of mechanics including the procedures of Euler, Lagrange, and Hamilton. Ideal for a two-semester graduate course, the Variational principles book includes a variety of problems, carefully chosen to familiarize the student with new concepts and to illuminate the general principles involved/5(70).

The first pages of " Tensors, differential forms, and variational principles ", by David Lovelock and Hanno Rund, are metric-free.

This book is very heavily into tensor subscripts and superscripts. If you don't like "coordinates", you won't like this book. Here's a round-up of the by: Well-written, authoritative, and scholarly, this classic treatise begins with an introduction to the variational principles of mechanics including the procedures of Euler, Lagrange, and : Dover Publications.

Book or Unit Author Douglas Cline Cover Page TOC Only License CC BY-NC-SA Show TOC no; Tags. [email protected] Principles in Classical [email protected] [email protected] of [email protected] Principles in Classical Mechanics. Variational Principles In Classical Mechanics The goal of this book is to introduce the reader to the intellectual beauty, and philosophical implications, of the fact that nature obeys variational principles that underlie the Lagrangian and Hamiltonian analytical formulations of classical mechanics.

Variational Principles in Classical Mechanics Contributors Author: Douglas Cline Illustrator: Meghan Sarkis Published by University of Rochester River Campus Libraries University of Rochester Rochester, NY Variational Principles in Classical Mechanics by File Size: 6MB.

- Buy The Variational Principles of Mechanics (Dover Books on Physics) book online at best prices in India on Read The Variational Principles of Mechanics (Dover Books on Physics) book reviews & author details and more at Free delivery on qualified orders/5(57).

Well-written, authoritative, and scholarly, this classic treatise begins with an introduction to the variational principles of mechanics including the procedures of Euler, Lagrange, and Hamilton.

Concentrating upon applications that are most relevant to modern physics, this valuable book surveys variational principles and examines their relationship to dynamics and quantum : $ Its related intentions are to show how variational principles may be employed to determine the discrete eigenvalues for stationary state problems and to illustrate how to find the values of quantities (such as the phase shifts) that arise in the theory of scattering.

The first pages of "Tensors, differential forms, and variational principles", by David Lovelock and Hanno Rund, are metric-free. This book is very heavily into tensor subscripts and superscripts.

This book is very heavily into tensor subscripts and superscripts/5(32). Variational problems and variational principles 2 Calculus for functions of many variables 4 2. Convex functions 6 First-order conditions 7 An alternative rst-order condition 8 The Hessian and a second-order condition 9 3.

Legendre transform 10 Application to Thermodynamics 13 4. Constrained variation and Lagrange File Size: KB. 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 Edition: Second Edition. Concentrating upon applications that are most relevant to modern physics, this valuable book surveys variational principles and examines their relationship to dynamics and quantum theory.

Buy The Variational Principles of Mechanics (Dover Books on Physics & Chemistry) New edition by Lanczos, Cornelius (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible orders/5(59).

Probably a great, concise discussion of variational principles and their history. Mandelstam and Yourgrau start with Hero's analysis of light, and then jump to Fermat. One of the great positives this book has: it contains multiple "sanity checks", deriving the same result from a different starting point/5.

Tensors, Differential Forms, and Variational Principles book. Read reviews from world’s largest community for readers. The aim of this book is to present /5(26).

Variational Principles and Free-boundary Problems Avner Friedman This advanced graduate-level text examines variational methods in partial differential equations and illustrates their applications to a number of free-boundary problems. Well-written, authoritative, and scholarly, this classic treatise begins with an introduction to the variational principles of mechanics including the procedures of Euler, Lagrange, and Hamilton.

Ideal for a two-semester graduate course, the book includes a variety of problems, carefully chosen to familiarize the student with new concepts and.Variational Methods Dover is the publisher of low-priced paperback editions of standard works by Shlomo Sternberg, M.

A. Lavrent'ev, and Avner Friedman. We are the affordable choice for texts on dynamical systems, variational analysis, variational principles, and other topics. Items Per Page 24 .Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations.

Emphasis is on analytical techniques, with large number of problems, from routine manipulative exercises to .