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Universe Dynamics: The Least Action Principle and Lagrange's Equations

Universe Dynamics: The Least Action Principle and Lagrange's Equations

Authors
Publisher Taylor & Francis Ltd
Year 14/01/2019
Pages 172
Version hardback
Readership level College/higher education
Language English
ISBN 9781138335899
Categories Applied physics
$270.68 (with VAT)
1 203.30 PLN / €257.99 / £223.96
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Book description

CHOICE Recommended Title, June 2019


Brought together in one focused and exclusive treatment, this book provides an elementary introduction to the important role and use of the least action principle and the resulting Lagrange's equations in the analysis of the laws that govern the universe. It is an ideal complimentary resource to accompany undergraduate courses and textbooks on classical mechanics.


Features:




Uses mathematics accessible to beginners
Brings together the Principle of Least Action, Lagrange's equations, and variational principles in mechanics in one cohesive text
Written in a clear and easy-to-understand manner "In the preface and introduction to this text, Vanier and Tomescu (both, Univ. of Montreal) rightfully argue that much can be learned about dynamics in all areas of physics through the application of the least action principle. Despite this fact, most undergraduate curricula limit the discussion of this principle to just part of an upper-division mechanics course. The aim of this text is to remedy that.
Before looking at the principle of least action, the text presents a review of mechanics, relativity, electromagnetism, and quantum mechanics. The authors' aim in this section is to see how these areas are typically studied without the use of the least action principle. The principle is then presented and tied directly to Lagrange's equations. The second half of the text consists of various examples of applying the principle to the areas that were discussed in the initial review. Though not all problems of interest are considered, these are good examples that can be used to see how to apply the principle broadly. This is not an introductory text; it assumes a familiarity with differential calculus and is probably best suited for upper-division undergraduates.
Summing Up: Recommended. Advanced undergraduates and graduate students."
-E. Kincanon, Gonzaga University in CHOICE, June 2019

Universe Dynamics: The Least Action Principle and Lagrange's Equations

Table of contents

Chapter 1: Introduction





Chapter 2: Selected Elements of Classical and Quantum Physics





Chapter 3: Search for a Universal Principle





Chapter 4: Selected Applications of Lagrange's Equations





Chapter 5: Fields and Quantum Physics





Chapter 6: Conclusion

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