August 19th, 2017, 02:22 PM  #11 
Senior Member Joined: Jun 2015 From: England Posts: 662 Thanks: 187 
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. HamiltonLagrange 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 HamiltonLagrange) 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 
August 19th, 2017, 04:05 PM  #12  
Senior Member Joined: Nov 2015 From: Alabama Posts: 140 Thanks: 17 Math Focus: Geometry, Trigonometry, Calculus  Quote:
Thank you!  
August 19th, 2017, 04:11 PM  #13 
Senior Member Joined: Nov 2015 From: Alabama Posts: 140 Thanks: 17 Math Focus: Geometry, Trigonometry, Calculus  
August 19th, 2017, 05:04 PM  #14  
Senior Member Joined: Feb 2016 From: Australia Posts: 1,320 Thanks: 450 Math Focus: Yet to find out.  Quote:
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  
Senior Member Joined: Oct 2013 From: New York, USA Posts: 548 Thanks: 78  Quote:
 
August 20th, 2017, 05:17 PM  #16 
Math Team Joined: Jul 2011 From: Texas Posts: 2,623 Thanks: 1303  
August 20th, 2017, 05:47 PM  #17 
Senior Member Joined: Nov 2015 From: Alabama Posts: 140 Thanks: 17 Math Focus: Geometry, Trigonometry, Calculus  
August 20th, 2017, 07:29 PM  #18 
Math Team Joined: Jul 2011 From: Texas Posts: 2,623 Thanks: 1303  

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