Is real analysis or complex analysis harder?

The Complex Part: The algebra becomes a little messier, the simplification tricks are more varied, but it is not that different. analysis and theorems starting with “there exists” are harder than for Real analysis. The complex numbers are algebraically complete. Every real or complex polynomial has a complex root.

Is complex analysis better than real analysis?

The best way to explain the difference, as I get it, is that the meaning of a derivative in complex analysis is much, much more restrictive than that in real analysis. This gives complex-differentiable functions much more structure than their counterparts in real analysis.

Should I take complex analysis before real analysis?

Complex analysis contains some of the most beautiful theorems in undergraduate mathematics. It is a course that you can take right after the calculus series, but if you want extra ground- ing in real analysis before taking complex analysis, you could take M 101 first.

How hard is real analysis?

Real analysis is an entirely different animal from calculus or even linear algebra. Real analysis is hard. This topic is probably your introduction to proof-based mathemat- ics, which makes it even harder. But I very much believe that anyone can learn anything, as long as it is explained clearly enough.

Is calculus or complex analysis harder?

Both are beautiful subjects and both are challenging… Complex analysis is in some sense easier than vector calculus, because of various nice simplifications that occur as a result of the stronger differentiability condition… but don’t be mistaken, it’s still plenty hard (unless your name is Cauchy or Riemann)… …

How useful is complex analysis?

Complex analysis is an important component of the mathematical landscape, unifying many topics from the standard undergraduate curriculum. It can serve as an effective capstone course for the mathematics major and as a stepping stone to independent research or to the pursuit of higher mathematics in graduate school.

What should I learn before complex analysis?

Other possible prerequisites include an introduction to proofs course, differential equations, and real analysis. The background of the students directly affects the type of course that can be taught. Fewer mathematical prerequisites allow more students from other majors to take the course.

Is real analysis hard Reddit?

Real analysis isn’t extremely hard, what IS hard is getting an A. I literally start the homework the night before it’s due, and I usually range from 85\%-90\% on the assignments. last term I ended up with a B+. I’m sure I could have gotten an A- if I tried harder.