Need a Supplement for Understanding Classical Mechanics?

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Discussion Overview

The discussion centers around recommendations for supplementary materials to aid in understanding classical mechanics, particularly for someone with a mathematics background seeking deeper insights into the subject. Participants share various textbooks and resources they believe would enhance comprehension of classical mechanics concepts.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant expresses a desire to relearn classical mechanics and seeks books that emphasize the derivation of formulas rather than rote memorization.
  • Another participant recommends several textbooks, including "Classical Mechanics" by David Morin and "Classical Mechanics 3rd Edition" by Goldstein, as suitable resources.
  • A different participant discusses the Tacoma Narrows bridge collapse, suggesting that many textbooks provide incomplete explanations due to students' limited knowledge of differential equations.
  • This participant also elaborates on the equation e = mc^2, arguing it represents a fundamental concept in physics rather than a mere mathematical equation.
  • Another participant suggests "Physics for Scientists and Engineers" by Raymond Serway and "Schaum's Outline of Engineering Mechanics: Statics" by W. McLean as additional resources, noting specific chapters that may be beneficial.

Areas of Agreement / Disagreement

Participants generally share recommendations for textbooks, but there is no consensus on which specific resource is the best or most comprehensive. The discussion includes varying perspectives on the adequacy of current educational materials and their explanations of classical mechanics concepts.

Contextual Notes

Some participants highlight limitations in the current educational approach to classical mechanics, particularly regarding the depth of explanations provided in textbooks and the prerequisites assumed of students.

Avatrin
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Hi

I need to relearn classical mechanics. More specifically, I need to relearn everything in this PDF:
http://www.springer.com/cda/content/document/cda_downloaddocument/9783319195957-t1.pdf?SGWID=0-0-45-1509999-p177402416

However, since I have taken this course before, I want to be a little over prepared. My background is in mathematics. I am not good at just memorizing formulas; I prefer knowing how they are deduced. So, I want a book to supplement the one we are using to better understand the physics.
 
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my recommendation to learn classical mechanics :
  • Classical Mechanics - David Morin
  • Classical Mechanics 3rd Edition - Goldstein
  • Classical Dynamics of Particle and System - Jerry.B Marion, Stephen T. Thornton
 
Avatrin said:
Hi

I need to relearn classical mechanics. More specifically, I need to relearn everything in this PDF:
http://www.springer.com/cda/content/document/cda_downloaddocument/9783319195957-t1.pdf?SGWID=0-0-45-1509999-p177402416

However, since I have taken this course before, I want to be a little over prepared. My background is in mathematics. I am not good at just memorizing formulas; I prefer knowing how they are deduced. So, I want a book to supplement the one we are using to better understand the physics.
"What explanation(s) a textbook gives of the collapse of the 1/3-year old Tacoma Narrows bridge in November 1940", is the best criterion. Compare the solution(s) given by your preferred primer of classical mechanics, with the explanations seen on internet, e.g. at Wikipedia.com or .fr. Too often since 1957 the american college-level physics-mechanics manuals/course-notes have given an incomplete/ shortened explanation of the failure, because of students' lack of knowledge (one or two credits) in differential equations. Since two or three decades, several textbooks fo Calculus1 (3 or 4 credits) contain a latter chapter on ODEs; this is better than nothing, though this chapter is generally skipped by the teacher. The first true, complete & most interesting explanation, has been presented to the public in 1959. But the current high-school-, the college- and freshman-university-levels courses still don't offer/ show it. Very stubborn is the typical American system of education who seemingly boats for teaching the quanta in modern physics to their teenagers or young adults who don't learn the true & fundamental notions of mechanics of waves of big suspended bridges. ____________________________________________ And concerning the equation e = mc^2 . It is a symbolic notational presentation of an abbridged sentence in physics. It is a formula of capital importance, although not a mathematical-physical equation. It truly means: "An increase of energy corresponds to ( or could be translated into, or could be obtained/manufactured by) an increase of the arithmetic product of the mass of matter by its respective speed raised at the power of two." As a result, the further addition of some related parameters (for instance belonging to astro-physics) appears less heretical. Thence your senses of logic & mathematics aren't hurted any more; in advanced physics, there is no place for fiction science.
 
Last edited:
Avatrin said:
Hi

I need to relearn classical mechanics. More specifically, I need to relearn everything in this PDF:
http://www.springer.com/cda/content/document/cda_downloaddocument/9783319195957-t1.pdf?SGWID=0-0-45-1509999-p177402416

However, since I have taken this course before, I want to be a little over prepared. My background is in mathematics. I am not good at just memorizing formulas; I prefer knowing how they are deduced. So, I want a book to supplement the one we are using to better understand the physics.
1) "Physics for Scientists and Engineers, 8/e" by Raymond Serway + 1. A chapter on static equilibrium and elasticity; a last chapter on universal gravitation Nothing on general relativity. 2) "Schaum's Outiline of Engineering Mechanics: Statics", by W. McLean +3. (Wait for next edition which will give access on internet.)
 

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