Rudin Real and Complex Analysis Ch4

I finished the fourth chapter in Rudin’s Real and Complex Analysis, which covered elementary Hilbert Space Theory. This was by far the least abstract chapter and I really appreciate the break from topological and metric spaces. However, there were many questions which, in the end, did revolve around these concepts, but proofs were more computation and “show it converges” proofs. My writeup can be found below:

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Rudin Real and Complex Analysis Ch3

I’ve covered the third chapter in Rudin’s Real and Complex Analysis. I really enjoyed the throwback to Jensen’s Theorem, but also appreciated how it was presented in a different (analysis) light. In terms of actual concepts, this section focused less on the theoretical topological introduction and more on metric spaces and various computations. This made it more fun to work with, as I didn’t feel constrained by the specific properties of various definitions as in the previous sections.

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