Would I be ready for Kleppners Intro to mechanics?

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    Intro Mechanics
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Discussion Overview

The discussion revolves around the readiness of a participant to tackle Kleppner's "Intro to Mechanics" after completing Calculus III. Participants explore the mathematical prerequisites and suggest alternative mechanics texts, considering the rigor and detail of various books.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant questions their readiness for Kleppner after completing Calculus III, noting the book's rigorous requirements for multidimensional integration and differential equations.
  • Another participant suggests that completing Calculus III should adequately prepare the individual for reading Kleppner.
  • Some participants recommend more advanced mechanics texts, such as "Mechanics" by Landau and Lif****z, asserting that these books are suitable for someone with a Calculus III background, though they may require additional mathematical knowledge.
  • Goldstein's mechanics text is mentioned as being at a similar level to Landau/Lif****z, with differing preferences expressed regarding the clarity and conciseness of the texts.
  • Concerns are raised about the level of detail in Goldstein and whether it aligns with the participant's preference for thorough explanations.
  • One participant emphasizes that Goldstein and Kleppner are not on the same level, indicating that Goldstein assumes prior knowledge from a course like Kleppner's.
  • Another participant shares their experience of studying Landau with limited calculus background, suggesting that while challenging, it was rewarding.
  • A suggestion is made to supplement Kleppner with "Perfect Form" by Don Lemons for a more elementary account of Lagrangian and Hamiltonian mechanics.
  • One participant expresses the opinion that Calculus III is excessive for Kleppner, suggesting it should be taken alongside Calculus I.
  • The participant seeks additional recommendations for rigorous mechanics texts that match the mathematical level of Calculus III.

Areas of Agreement / Disagreement

Participants express differing views on the appropriateness of various mechanics texts for someone who has completed Calculus III. While some believe that Kleppner is accessible, others argue that more advanced texts like Goldstein or Landau may be suitable but challenging. The discussion remains unresolved regarding the best approach and resources for studying mechanics.

Contextual Notes

Participants note varying levels of detail and rigor in the recommended texts, with some expressing a preference for detailed explanations while others prioritize conciseness. There is also mention of differing assumptions about prior knowledge required for advanced texts.

Winzer
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Ok, so I was wondering when i am done taking Calc III would I be ready for Kleppners Intro to mechanics? I hear it is quite rigours having use of mulidemensional integration and some diff eq. But that is what Physics is all about! I believe todays physics books are just to cartoony. Is there a kleppners equivalent? What do you think?
Thanks
 
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Given that Calc III involves more than basic differentiation and integration, I think you should not have a problem with reading Kleppner.
 
After calc 3, you can do even harder mechanics books than Kleppner. I highly recommend "Mechanics" by Landau and Lif****z if you want a top notch mechanics book. You will have to learn a little bit of math (rudimentary calculus of variations, and you'll have to look up a theorem here and there), but the book is outstanding. Not a word is wasted, and every explanation is crystal clear (although quite terse).
 
What about Goldstein? I hear he has some great texts.
 
Goldstein's Mechanics and Landau/Lif****z are about at the same level. I personally prefer L/L because its much shorter and doesn't feel like it rambles, but many people prefer Goldstein also. If you have library access, you could always just check out a copy of each of these books!
 
I have seen goldstein at my university library. I will look for landau.
As long as they have very detailed explanations, do they?
I like detail
 
But you must remember that Goldstein and Kleppner are NOT on the same level. A book like Goldstein's (typically dealing with the subject known as Analytical Mechanics or Classical Mechanics) assumes that you have done a course at the level of Kleppner's.
 
Yes, that is true. At least mathematically, goldstein or landau is manageable after calc 3, but the physics might be tough going. Personally, I worked through landau with my HS physics teacher with only BC calc as background (plus independent study on a motley array of fun topics), and I found it tough but very rewarding. One other possibility would be doing kleppner and supplementing it with "perfect form" by don lemons, which is an elementary account of lagrangian/hamiltonian mechanics and other variational techniques. I read it to prepare myself for landau/lif****z, and quite liked it.

What ever you do though, HAVE FUN WITH IT!
 
calc three is too much for kleppner, you should have taken it alongside calc 1.
 
  • #10
So not Goldstein yet,ok. Are there anyother books you guys recommend for studying Mechanics with math level of calc III? I would like it rigorous and highly detailed.
 

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