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Academic Guidance Academic Guidance - Academic guidance for those pursuing a college degree... what college? Grad school? PhD help?


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August 19th, 2017, 03:22 PM   #11
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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
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August 19th, 2017, 05:05 PM   #12
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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!
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August 19th, 2017, 05:11 PM   #13
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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.
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August 19th, 2017, 06:04 PM   #14
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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?
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Last edited by Joppy; August 19th, 2017 at 06:08 PM.
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August 20th, 2017, 03:52 PM   #15
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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.
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August 20th, 2017, 06:17 PM   #16
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Leeds is in the UK. It's in northern England.
One of my favorite albums ... still have the vinyl copy.

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August 20th, 2017, 06:47 PM   #17
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One of my favorite albums ... still have the vinyl copy.

Jeez taking us back a good 40 years...
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August 20th, 2017, 08:29 PM   #18
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Jeez taking us back a good 40 years...
I was around then ... 😎
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