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Variational Principles in Physics
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Oggetto che si trova a: Lansdale, PA, Stati Uniti
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Consegna prevista tra il lun 27 ott e il mar 4 nov a 94104
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Numero oggetto eBay:357294462040
Specifiche dell'oggetto
- Condizione
- Level
- Advanced
- Educational Level
- Adult & Further Education
- ISBN
- 9783031216947
Informazioni su questo prodotto
Product Identifiers
Publisher
Springer International Publishing A&G
ISBN-10
3031216946
ISBN-13
9783031216947
eBay Product ID (ePID)
5065015487
Product Key Features
Edition
2
Book Title
Variational Principles in Physics
Number of Pages
Xiii, 242 Pages
Language
English
Topic
Mechanics / General, Physics / Mathematical & Computational, Physics / General, Optimization
Publication Year
2024
Illustrator
Yes
Genre
Mathematics, Science
Format
Trade Paperback
Dimensions
Item Weight
14 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Dewey Edition
22
Number of Volumes
1 vol.
Dewey Decimal
531.01515
Table Of Content
Chapter 1. Structure of physical theories.- Chapter 2. Variational Principles.- Chapter 3. The Analytical Mechanics of Lagrange.- Chapter 4. Hamilton's canonical formalism.- Chapter 5. Action, Optics, Hamilton-Jacobi equation.- Chapter 6. Lagrangian Field Theory.- Chapter 7. Motion in a Curved Space.- Chapter 8. Gravitational waves.- Chapter 9. Feynman's Path Integrals in quantum Mechanics.
Synopsis
Optimization under constraints is an essential part of everyday life. Indeed, we routinely solve problems by striking a balance between contradictory interests, individual desires and material contingencies. This notion of equilibrium was dear to thinkers of the enlightenment, as illustrated by Montesquieu's famous formulation: "In all magistracies, the greatness of the power must be compensated by the brevity of the duration." Astonishingly, natural laws are guided by a similar principle. 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 known as Fermat's principle, a cornerstone of geometrical optics. Variational Principles in Physics explains variational principles and charts their use throughout modern physics. The heart of the book is devoted to the analytical mechanics of Lagrange and Hamilton, the basic tools of any physicist. Prof. Basdevant also offers simple but rich first impressions of Einstein's General Relativity, Feynman's Quantum Mechanics, and more revealing and amazing interconnections between various fields of physics., This revised and enhanced new edition of a well-established textbook provides a balanced overview of various areas of theoretical physics based on the use of variational principles. As well as field theory, the book deals with motion in curved spaces, the cradle of general relativity, and gravitational optics. New chapters on the relation of classical mechanics and geometrical optics as well as gravitational waves, which are considered as a true confirmation of general relativity, have been included. Each chapter has been carefully revised and enlarged. Finally, the text describes Feynman's formulation of quantum mechanics by path integrals, which gives the link between quantum and classical mechanics. The book provides a set of exercises, problems, and solutions.
LC Classification Number
QC19.2-20.85
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