MHB Recommend books for dynamical systems?

nacho-man
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I am finding some topics a bit obscurely explained.
I have attached the curriculum/study guide we are using, and was hoping someone could suggest books which cover these bases.

Particularly finding week 8 a bit difficult at the moment, especially stability (surely just more robust revision and studying is required) but i haven't been successful in finding similar topics covered in textbooks.

I am using Kreyzig advanced engineering mathematics and also PV Oneil's advanced eng mathematics.

Any help is appreciated!
 

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thanks, I had a look at your notes prior as well.

Is there any way to download them?
 
nacho said:
thanks, I had a look at your notes prior as well.

Is there any way to download them?

No, it is setup so you can't.
 
I have the equation ##F^x=m\frac {d}{dt}(\gamma v^x)##, where ##\gamma## is the Lorentz factor, and ##x## is a superscript, not an exponent. In my textbook the solution is given as ##\frac {F^x}{m}t=\frac {v^x}{\sqrt {1-v^{x^2}/c^2}}##. What bothers me is, when I separate the variables I get ##\frac {F^x}{m}dt=d(\gamma v^x)##. Can I simply consider ##d(\gamma v^x)## the variable of integration without any further considerations? Can I simply make the substitution ##\gamma v^x = u## and then...

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