Gd of curve and surfaces or functional analysis before?

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Discussion Overview

The discussion revolves around the decision of whether to study differential geometry of curves and surfaces or functional analysis first, particularly in the context of prior coursework in analysis and vector calculus. Participants also mention the potential inclusion of an introductory course in complex analysis.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant expresses uncertainty about which subject to prioritize, asking for advice on whether to start with differential geometry (Do Carmo) or functional analysis (Rudin).
  • Another participant suggests that both subjects are valid options and that one does not depend on the other.
  • A participant acknowledges the difficulty of studying both simultaneously and inquires about which subject could be started earlier, alongside complex analysis.
  • A later reply indicates that the choice of which subject to start with is ultimately up to the individual.
  • One participant expresses gratitude and indicates they have gained clarity on their starting point.

Areas of Agreement / Disagreement

Participants generally agree that both subjects can be pursued independently, but there is no consensus on which should be studied first, as opinions vary on the matter.

Contextual Notes

The discussion does not resolve the question of precedence between the two subjects, and it is unclear if any specific prerequisites or dependencies were considered by the participants.

Who May Find This Useful

Students or individuals interested in the study of differential geometry and functional analysis, particularly those with a background in analysis and vector calculus.

Jianphys17
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Hello everyone, i just finished a course of analysis(2)\vector calculus.Now iI'm interested in doing Gd of curves and surfaces(Do Carmo), and functional analysis(Rudin'sbook), but do not know what may have precedence between the two, on which i should start before you think?
 
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Both are valid options. The one doesn't depend on the other.
 
Ah well, since at first i planned to study both, but i know that this would not be possible in theory,then of whom i could start earlier,alongside an introductory course in complex analysis?
 
Jianphys17 said:
Ah well, since at first i planned to study both, but i know that this would not be possible in theory,then of whom i could start earlier,alongside an introductory course in complex analysis?

That's entirely up to you.
 
Ah, ok thanks for everything :smile:, now i see with what should i start more! :rolleyes:
 

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