Analytical Mechanics: An Introduction

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SUMMARY

The discussion centers around the book "Analytical Mechanics: An Introduction" by Antonio Fasano and S. Marmi, which is noted for its comprehensive coverage of Lagrangian and Hamiltonian mechanics. Participants recommend "Classical Mechanics" by Herbert Goldstein as a classical reference and "Mecânica Analítica" by Nivaldo Lemos for a similar approach. For those seeking a geometric perspective, "Mathematical Methods of Classical Mechanics" by V. I. Arnold and "Classical Dynamics: A Contemporary Approach" by José & Saletan are suggested. The Fasano-Marmi text is deemed suitable for advanced learners, with caution advised regarding its chapters on continuous mechanics and ergodic theory.

PREREQUISITES
  • Understanding of Lagrangian mechanics
  • Familiarity with Hamiltonian mechanics
  • Basic knowledge of classical mechanics principles
  • Experience with mathematical methods in physics
NEXT STEPS
  • Study "Classical Mechanics" by Herbert Goldstein for foundational concepts
  • Explore "Mathematical Methods of Classical Mechanics" by V. I. Arnold for geometric approaches
  • Read "Classical Dynamics: A Contemporary Approach" by José & Saletan for contemporary insights
  • Investigate the chapter on continuous mechanics in "Analytical Mechanics: An Introduction" for advanced topics
USEFUL FOR

Students and educators in physics, particularly those focusing on mechanics, as well as researchers seeking a deeper understanding of Lagrangian and Hamiltonian dynamics.

d.zanellato
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Hello.

Someone knows the book: "Analytical Mechanics: An Introduction" by Antonio Fasano, S. Marmi?
Is this a good book on mechanics?



Thank you.
 
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Any recommendations for a text which provides an introduction to Lagrangian mechanics and continues on to Hamiltonian mechanics?
 
Last edited:
Ed Aboud said:
Bump

Any recommendations for a text which provides an introduction to Lagrangian mechanics and continues on to Hamiltonian mechanics?


The classical reference is "Classical Mechanics" by Herbert Goldstein.
In my course on Analytical Mechanics, here in Brazil, I used "Mecânica Analítica" by Nivaldo Lemos. It is very similar to Goldstein's book.

For a more geometric approach: "Mathematical Methods of Classical Mechanics", by V. I. Arnold or, for a more smooth transition, "Classical Dynamics: A Contemporary Approach" by José & Saletan.


Arnold's book will be my next fun :)
 
The Fasano-Marmi was my textbook during undergraduate studies -- I covered almost the whole book in two courses. To me it definitely doesn't seem a book for rookies: the part on hamiltonian dynamic is rather abstract though I enjoyed much the exposition. I eventually recommend for a course in basic mechanics, Lagrangian and Hamiltonian. Avoid the chapter on continuous mechanic and ergodic theory -- the book wants to cover lots of different topics though only fundamental theories are exhaustive and well-made. If you are Italian, you might want to take a look to "Meccanica" by Gallavotti too.

Ll.
 

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