Self-Studying Mechanics as a Math Major: Thornton/Marion Guide

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Discussion Overview

The discussion revolves around the suitability of various mechanics textbooks for a math major self-studying mechanics, particularly focusing on the Thornton/Marion guide. Participants explore different resources, their mathematical prerequisites, and the perceived quality of these texts.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Exploratory

Main Points Raised

  • One participant questions whether starting with Thornton/Marion is appropriate for someone with a math background and no prior physics courses.
  • Another participant strongly criticizes Thornton/Marion, suggesting it may be particularly challenging for math majors and recommending Arnold's book as an alternative for those with strong math skills.
  • A suggestion is made to consider Kleppner's Introduction to Mechanics for its easier math requirements and suitability for first-year university courses.
  • Some participants mention that differential topology and geometry, along with standard physics topics, are beneficial prerequisites for understanding more advanced texts.
  • There are mixed opinions on Thornton/Marion; while one participant finds it suitable for typical physics undergraduates, others argue it may not meet the needs of mathematically inclined readers.
  • Participants discuss the relevance of other texts, such as David Morin's textbook and Woodhouse's text, as well as the free resource "Structure and Interpretation of Classical Mechanics."
  • One participant inquires about the necessity of studying Halliday and Resnick after completing Kleppner/Kolenkow, to which another participant responds that it is not necessary.
  • A participant suggests that older editions of Thornton/Marion might be preferable and considers selling the newer version after their course.

Areas of Agreement / Disagreement

Participants express a range of opinions regarding the effectiveness of Thornton/Marion, with some advocating for its use while others recommend alternatives. There is no consensus on the best approach or resources for self-studying mechanics.

Contextual Notes

Participants mention various levels of mathematical preparation required for different texts, indicating that the choice of book may depend on individual backgrounds and goals. The discussion reflects a variety of perspectives on the appropriateness of specific textbooks for different types of learners.

tronter
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I am by training a math major. I have not taken any physics courses. If I want to self study mechanics, could I start of with Thorton/Marion?
 
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Marion and Thornton is perhaps the undergraduate physics book I've had to deal with. It really is just awful. As a math major I think you'll find it even worse than most physicists do. If your math is strong enough, check out Arnold: https://www.amazon.com/dp/0387968903/?tag=pfamazon01-20

For an introductory book with much easier math requirements look at Kleppner's Introduction to Mechanics book.

If you want to maintain your sanity skip Thornton.
 
trinitron said:
Marion and Thornton is perhaps the undergraduate physics book I've had to deal with. It really is just awful. As a math major I think you'll find it even worse than most physicists do. If your math is strong enough, check out Arnold: https://www.amazon.com/dp/0387968903/?tag=pfamazon01-20

For an introductory book with much easier math requirements look at Kleppner's Introduction to Mechanics book.

If you want to maintain your sanity skip Thornton.
What Math level should I be at before I purchase this book? It is much cheaper than Kleppner's book
 
Some differential topology/geometry in addition to the standard physics material (ODE, PDE) should do.
 
Kleppner is a good book for a first-year university course in mechanics. I think it's one of the best books to prepare someone for subsequent mechanics courses and textbooks. An alternative which is currently available online is David Morin's textbook for Physics 16 at Harvard University, which will soon be published by Cambridge University Press.

Thornton & Marion is a pretty standard choice for a second course in mechanics. Other books at a similar level are Analytical Mechanics by Fowles and Mechanics by Symon. I happen to like Thornton & Marion: I think it is well-suited for the typical physics undergraduate whose primary interest is learning how to apply the techniques of Lagrangian and Hamiltonian techniques to solve problems, but I can see why a more theoretical or mathematically-oriented reader might dislike it.

The standard textbook for graduate-level mechanics is Classical Mechanics by Goldstein. Another book that is probably at a similar level is Mechanics by Landau and Lifsh*tz.
 
Last edited:
You might like Woodhouse's text:
http://www.worldcatlibraries.org/wcpa/top3mset/463b7ef715179873a19afeb4da09e526.html
and possibly this free text " Structure and Interpretation of Classical Mechanics"
http://mitpress.mit.edu/SICM/

Kleppner is a great advanced-introductory Newtonian-mechanics text.
Arnold and Abraham-Marsden are rather advanced geometrical treatments [using symplectic methods].
 
If I go through Kleppner/Kolenkow, is there a need for me to go through standard books like Halliday and Resnick for mechanics?

After this I am planning to study Berkely Vol. 2 E&M.

Thanks
 
tronter said:
If I go through Kleppner/Kolenkow, is there a need for me to go through standard books like Halliday and Resnick for mechanics?
No, you don't need to.

tronter said:
After this I am planning to study Berkely Vol. 2 E&M.

That's a common followup to a text like K&K.
 
Thornton messed up that text, get the 1st or second edition authored by Jerry B. Marion alone, they are much better.
 
  • #10
I have taking newtionain mechanics, but no lagragnian or hamitolian. And I also have studied math and physics for 3years. This semster I will take mechanics pt2 that deals with:

Central force motion
Eulers equations
Special relativity
Coupled harmonic oscillators
Lagrange and Hamiltons formulation of classical mechanics

The course book is Thorton/Marion - dymanics..

Should I also try to get over an older verison with only Marion as author, and sell the book by marion/thorton when class is over?
 

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