Complex analysis vs real analysis reddit

  • Is complex analysis easier than real analysis?

    In short, real analysis can overwhelm the novice with its breadth.
    Complex analysis, in my experience, gives students two key difficulties, characterized more by depth than by breadth: Understanding the difference between a function differentiable as a function of a complex variable vs. of two real variables..

  • Should I learn real or complex analysis first?

    If you are not already pretty comfortable with ε-δ proofs, sequences, series, and functional limits, then more primer on the basics of analysis would serve you well.
    Beyond mathematical maturity and these basics there isn't much needed specifically from real analysis to take on complex analysis..

  • What is the difference between complex analysis and real analysis?

    Real analysis seems to be about limits and accumulation points and oriented toward differentiation, while complex analysis deals with with curve integrals and radii of convergence, and "poles," lending itself more to integration..

  • What is the difference between real and complex analysis?

    Real analysis seems to be about limits and accumulation points and oriented toward differentiation, while complex analysis deals with with curve integrals and radii of convergence, and "poles," lending itself more to integration..

  • Some particular properties of real-valued sequences and functions that real analysis studies include convergence, limits, continuity, smoothness, differentiability and integrability.
    Real analysis is distinguished from complex analysis, which deals with the study of complex numbers and their functions.
The difference to me is that in real analysis, many things tend to go wrong, so you might have to spend more time with each concept/counterexample (and it teaches you that a seemingly obvious statement can be very false), whereas in complex analysis, many things are nice, so you can more quickly prove powerful theorems

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