What Lagrangian mechanics textbook should I use?

  • #1
jqmhelios
11
7
I am currently taking a course on introductory Lagrangian and Hamiltonian mechanics in year 2 in the UK.
I find the material easy but do not have access to a resource with a satisfying amount of problems.
Despite being (in)directly told this resource is not useful at my level, I have Landau and Lifshitz volume 1 and love it as the explanations are brilliantly clear and understandable to me. However, it contains a disappointingly small amount of problems!

Does anyone know a suitable textbook? For a year 2 physics student with lots of problems and worked examples?

I also should add that I do not like Goldstein's approach to the topic as I find his explanations too difficult for me at this stage. His derivation of the Euler-Lagrange equations was shockingly difficult to follow (unlike Landau's intuitive and easy approach)
 
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  • #2
In my day, there was Marion or Symon.
 
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  • #3
My introduction to the topic was also Marion & Thornton
 
  • #4
Schaum’s Outline Series offers down-to-the-point fully answered problems; beware, though, it’s supplemental text only.
 
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  • #5
As @apostolosdt has said, Schaum's Outline are valuable supplements of problems for standard text.

A text that provides detailed pedagogical explanations of concepts is Classical Mechanics by John Taylor. Some folks liked the detailed explanations; some folks find this text a little too wordy.
 
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  • #6
If he likes Landau, Taylor is definitely way too wordy.

Landau's One can show" is missing some words. Like "with half a ream of paper and a free afternoon".
 
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  • #7
Landau & Lifshitz vol. 1!
 
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  • #8
You can take a look at the first 3 chapters of Classical Dymamics by Donald. T. Greenwoord
 
  • #9
I liked a combination of Taylor and Simon.
 

Related to What Lagrangian mechanics textbook should I use?

1. What are some recommended Lagrangian mechanics textbooks for beginners?

Some popular choices for beginners include "Classical Mechanics" by John R. Taylor, "Introduction to Classical Mechanics" by David Morin, and "An Introduction to Mechanics" by Daniel Kleppner and Robert Kolenkow.

2. Are there any advanced textbooks on Lagrangian mechanics?

Yes, for more advanced readers, "Mechanics" by Lev Landau and Evgeny Lifshitz, "Analytical Mechanics" by Louis N. Hand and Janet D. Finch, and "Classical Mechanics" by Herbert Goldstein are highly recommended.

3. Are there any online resources or free textbooks for studying Lagrangian mechanics?

Yes, there are several free resources available online such as "Lagrangian Mechanics" by Peter S. Drell, which is available for free on arXiv.org, and various lecture notes and course materials from universities like MIT and Stanford.

4. What are some textbooks that focus specifically on applications of Lagrangian mechanics?

For those interested in applications, "Classical Dynamics of Particles and Systems" by Stephen T. Thornton and Jerry B. Marion covers a wide range of applications in physics and engineering, while "Mechanics and Symmetry" by Jerrold E. Marsden and Tudor Ratiu focuses on the geometric aspects of Lagrangian mechanics.

5. Are there any textbooks that provide a modern perspective on Lagrangian mechanics?

For a modern perspective, "Variational Principles of Mechanics" by Cornelius Lanczos and "The Variational Principles of Mechanics" by Cornelius Lanczos provide a comprehensive and up-to-date treatment of Lagrangian mechanics with a focus on variational principles.

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