Reading Goldstein's Classical Mechanics as an Undergraduate

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SUMMARY

The discussion centers on the challenges faced by undergraduate students reading Goldstein's "Classical Mechanics," particularly its suitability as a primary text. Participants agree that while Goldstein is a classic, it is primarily a graduate-level text and may not be necessary for a solid undergraduate education. Many recommend focusing on Marion and Thornton for foundational concepts, while Goldstein's treatment of topics like non-holonomic constraints and virtual work is criticized. Overall, the consensus suggests that undergraduates should not feel pressured to fully grasp Goldstein's complexities.

PREREQUISITES
  • Understanding of Lagrangian and Hamiltonian mechanics
  • Familiarity with D'Alembert's Principle
  • Knowledge of virtual work and constraints in mechanics
  • Basic concepts of analytical mechanics from texts like Marion and Thornton
NEXT STEPS
  • Explore the treatment of non-holonomic constraints in classical mechanics
  • Study canonical transformations and Poisson brackets in depth
  • Read Landau & Lifshitz vol. 1 for a more accurate treatment of classical mechanics
  • Investigate the differences between various editions of Goldstein's text
USEFUL FOR

Undergraduate physics students, educators in classical mechanics, and anyone seeking to deepen their understanding of analytical mechanics and the pedagogical challenges associated with advanced texts like Goldstein.

  • #31
gmax137 said:
Hmm I would have to find my transcript for detail (1978).
...

I have a feeling that your college is one of the elite Little Ivies.
 
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  • #32
andresB said:
...why?
I can think of several reasons. In no particular order:

Do most 17 or 18 year old college freshmen really know they want to study physics or classical literature? How would they know? Why not allow them to try classes in each (and more) and let them decide later what they want to study in depth?

Must a physics graduate think and talk only about physics? Wouldn't it be nice to know at least something about subjects beyond your major?

Is the purpose of the college/university training or education? The liberal arts approach is trying to teach the students how to think critically, how to write clearly, how to study, how to learn. With that, you can spend the rest of your life studying and learning whatever you choose. The variety of subject matter helps because the study habits are different: for physics you must do problem sets, for math you must do proofs. What would a history or literature "problem set" look like?

I went on to graduate school in engineering. Quite a different experience, much more emphasis on gaining specialized knowledge (almost approaching training). Much more pointed at future employment.
 
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  • #33
robphy said:
I have a feeling that your college is one of the elite Little Ivies.
I wonder how many Ephs have found their way to physicsforums?
 
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  • #34
dextercioby said:
For the second, do you know a better treatment than the one by V.S. Vladimirov?
I like

Michael Renardy Robert C. Rogers: An Introduction to
Partial Differential Equations

L. Evans: Partial Differential Equations

Michael Taylor: PDE

M. Shubin: Lectures in PDE (in Russian, perhaps there exists in English)

O. Oleinik: Lectures in PDE (in Russian, perhaps there exists in English)
 
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