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 August 19th, 2017, 02:22 PM #11 Senior Member   Joined: Jun 2015 From: England Posts: 915 Thanks: 271 That's a nicely balanced list. You can rest assured you won't have time in two semesters to go into any difficult differential equation theory. Hamilton-Lagrange theory is best described an energy method, which is often even simpler, once you get the hang of it. The calculus of variations is about finding a minimum function (usually an energy one hence its tie up with Hamilton-Lagrange) that satisfies some criterion. So light takes the path of minimum time can be used as the basis for optics theory and so on. Non linear mechanics and Chaos canbe quite fun at elementary level. Add this book by David Acheson to your list - it contains some superb examples From Calculus to Chaos An Introduction to Dynamics Thanks from SenatorArmstrong
August 19th, 2017, 04:05 PM   #12
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 Originally Posted by studiot That's a nicely balanced list. You can rest assured you won't have time in two semesters to go into any difficult differential equation theory. Hamilton-Lagrange theory is best described an energy method, which is often even simpler, once you get the hang of it. The calculus of variations is about finding a minimum function (usually an energy one hence its tie up with Hamilton-Lagrange) that satisfies some criterion. So light takes the path of minimum time can be used as the basis for optics theory and so on. Non linear mechanics and Chaos canbe quite fun at elementary level. Add this book by David Acheson to your list - it contains some superb examples From Calculus to Chaos An Introduction to Dynamics
Thanks for the response and teaser for Hamilton-Lagrange theory and calculus of variations. I will add that book to my wishlist on amazon and consider picking it up soon.

Thank you!

August 19th, 2017, 04:11 PM   #13
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 Originally Posted by studiot Perhaps the best thing to make you aware of are 'Student's Guides' The Cambridge University guides to Lagrangians and Hamiltonians
I happened to "run into" a copy of this earlier today. Very interesting stuff. Thank you for the suggestion.

August 19th, 2017, 05:04 PM   #14
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 Originally Posted by studiot Add this book by David Acheson to your list - it contains some superb examples From Calculus to Chaos An Introduction to Dynamics
I can second this one @Senator. In fact i think i even purchased it after studiot recommended it in another post (thanks studiot). It's quite gentle, and if you've already had some exposure to calculus and differential equations, it will really reaffirm your understanding.

EDIT: Given the spirit of this thread, i thought I'd add that the book is actually a second hand library book from the "University of Leeds".. Which i believe is in the UK?

Last edited by Joppy; August 19th, 2017 at 05:08 PM.

August 20th, 2017, 02:52 PM   #15
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 Originally Posted by Joppy I can second this one @Senator. In fact i think i even purchased it after studiot recommended it in another post (thanks studiot). It's quite gentle, and if you've already had some exposure to calculus and differential equations, it will really reaffirm your understanding. EDIT: Given the spirit of this thread, i thought I'd add that the book is actually a second hand library book from the "University of Leeds".. Which i believe is in the UK?
Leeds is in the UK. It's in northern England.

August 20th, 2017, 05:17 PM   #16
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 Originally Posted by EvanJ Leeds is in the UK. It's in northern England.
One of my favorite albums ... still have the vinyl copy.

August 20th, 2017, 05:47 PM   #17
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 Originally Posted by skeeter One of my favorite albums ... still have the vinyl copy.
Jeez taking us back a good 40 years...

August 20th, 2017, 07:29 PM   #18
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 Originally Posted by SenatorArmstrong Jeez taking us back a good 40 years...
I was around then ... ðŸ˜Ž

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