Classical Dynamics: A Contemporary Approach by José and Saletan

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SUMMARY

Classical Dynamics: A Contemporary Approach by Jorge José and Eugene Saletan is a comprehensive resource for understanding classical dynamics, though it suffers from excessive use of summation notation that detracts from readability. The book provides an extensive bibliography and covers topics such as the principle of least action and Lagrangians, albeit with insufficient justification for some concepts. While it may not serve as a standalone textbook, it excels as a supplementary resource, particularly for enhancing geometrical intuition in dynamics. It is highly recommended as a companion to Arnold's works.

PREREQUISITES
  • Familiarity with classical mechanics principles
  • Understanding of Lagrangian mechanics
  • Knowledge of geometrical interpretations in physics
  • Basic proficiency in mathematical notation, particularly summation notation
NEXT STEPS
  • Explore the principle of stationary action in classical mechanics
  • Study Lagrangian mechanics in depth, focusing on its applications
  • Investigate Darboux's theorem and its implications in dynamics
  • Read Arnold's classical dynamics to enhance geometrical understanding
USEFUL FOR

This discussion is beneficial for physics students, educators, and researchers interested in classical dynamics, particularly those seeking supplementary materials to enhance their understanding of geometrical frameworks in mechanics.

For those who have used this book

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  • Total voters
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The biggest con to this text is its notation; its insistant to use summation notation for every equation made the entire read an eyesore.

Content-wise, however, it is encyclopedic, exemplified by an impressive bibliography. This is both good and bad. For example, some texts stress that the principle of least action is actually the principle of stationary action. José and Saletan tells us exactly what Lagrangians minimize action...without justification. In fact, because the book is so encyclopedic, a vast amount of material under justified, the most egregious example being Darboux's theorem. Because of this, I am not sure I can recommend this as a stand-alone text for any course. However, as a supplement, it excells.

José and Saletan stress geometrical intuition as a way to decode the equations of dynamics. In this endeavor, the text is a success. I think that because of this, the text makes a great supplement to Arnold's masterpiece, helping the reader visualize the geometrical framework that Arnold uses to construct classical dynamics. Overall, I strongly recommend the text.
 

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