Is differential equation required to study real analysis?

AI Thread Summary
Differential equations are not considered a prerequisite for studying real analysis, particularly in the context of "baby Rudin." While they are not essential for real analysis or measure theory, knowledge of differential equations is relevant for stochastic calculus, especially when dealing with stochastic differential equations. It is suggested that having a background in analysis is beneficial before tackling differential equations. The discussion also touches on the distinction between ordinary differential equations (ODEs) and partial differential equations (PDEs), with a focus on their applicability in stochastic calculus. Additionally, there is a request for recommendations on better resources for learning PDEs, as existing materials like Paul's notes are viewed as limited in examples and exercises.
woundedtiger4
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Hi all,
Is differential equation a prerequisite to study real analysis (in context of baby Rudin)? And does it have any use in measure theory or Stochastic Calculus?
Thanks in advance.
 
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No, I would not consider differential equations as a prerequisite for either of those courses.
 
HallsofIvy said:
No, I would not consider differential equations as a prerequisite for either of those courses.

thanks a tonne
 
HallsofIvy said:
No, I would not consider differential equations as a prerequisite for either of those courses.

What about Stochastic Differential Equations?
 
No. In fact, it would almost certainly be better to know some analysis before studying DE's.
 
When we say DE does it also include PDE or does ODE is enough for stochastic calculus? Also does anyone know the best source for PDEs as at Paul's notes it's very limited & doesn't have examples & exercises?
 

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