Classical Need a Supplement for Understanding Classical Mechanics?

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To effectively relearn classical mechanics, a strong understanding of the underlying principles rather than rote memorization of formulas is emphasized. Recommended supplementary texts include "Classical Mechanics" by David Morin, "Classical Mechanics 3rd Edition" by Goldstein, and "Classical Dynamics of Particles and Systems" by Marion and Thornton. The discussion also highlights the inadequacies in current educational materials regarding the Tacoma Narrows bridge collapse, suggesting that many physics textbooks fail to provide comprehensive explanations due to students' limited knowledge of differential equations. Additionally, the significance of the equation e=mc^2 is discussed, emphasizing its conceptual importance in understanding energy and mass relationships. Overall, the conversation stresses the need for a deeper grasp of classical mechanics principles through well-rounded educational resources.
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.
 
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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.)
 
For the following four books, has anyone used them in a course or for self study? Compiler Construction Principles and Practice 1st Edition by Kenneth C Louden Programming Languages Principles and Practices 3rd Edition by Kenneth C Louden, and Kenneth A Lambert Programming Languages 2nd Edition by Allen B Tucker, Robert E Noonan Concepts of Programming Languages 9th Edition by Robert W Sebesta If yes to either, can you share your opinions about your personal experience using them. I...
Hi, I have notice that Ashcroft, Mermin and Wei worked at a revised edition of the original solid state physics book (here). The book, however, seems to be never available. I have also read that the reason is related to some disputes related to copyright. Do you have any further information about it? Did you have the opportunity to get your hands on this revised edition? I am really curious about it, also considering that I am planning to buy the book in the near future... Thanks!
This is part 2 of my thread Collection of Free Online Math Books and Lecture Notes Here, we will consider physics and mathematical methods for physics resources. Now, this is a work in progress. Please feel free comment regarding items you want to be included, or if a link is broken etc. Note: I will not post links to other collections, each link will point you to a single item. :book:📚📒 [FONT=trebuchet ms]Introductory college/university physics College Physics, Openstax...

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