Introductory to Functional Analysis

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Discussion Overview

The discussion revolves around resources for studying functional analysis at the undergraduate level, specifically focusing on the availability of online materials and the quality of recommended textbooks. Participants share opinions on the Kreyszig textbook and seek additional resources for notation and LaTeX formatting.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant, Eddie, inquires about free online resources for functional analysis, expressing concern over the cost of textbooks.
  • Another participant provides a link to free resources but emphasizes that quality often comes with a price, recommending Kreyszig as a high-quality option.
  • A different participant praises Kreyszig for its comprehensive coverage of the topic, suggesting that investing in the book is worthwhile for serious students.
  • Eddie later requests clarification on notation used in functional analysis and seeks links for LaTeX formatting to use in forum posts.
  • One participant questions Eddie's request for definitive notation, pointing out that Kreyszig includes a section on set theory with notations.
  • Another participant mentions the availability of LaTeX code for forum posts and suggests searching for tutorials online.

Areas of Agreement / Disagreement

Participants generally agree on the quality of the Kreyszig textbook, but there is no consensus on the completeness of the notation provided in the book. The discussion remains unresolved regarding the availability of definitive notation resources.

Contextual Notes

Some participants express uncertainty about the completeness of notation in Kreyszig, and there are references to specific pages and sections that may not be universally acknowledged as definitive.

bugatti79
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Folks,

I am starting a module in functional analysis undergrad level. I have been suggested introductory functional analysis by Kreyszig, but in instead of buying another expensive book is there a good online source like a pdf on in this topic that I could avail of?

Any help will be appreciated.

Kind regards
Eddie
 
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Kreyszig (700 pages from 1978) is VERY good and provides you with a lot of information. If you're really interested in this topic of maths, make an effort & get it.
 
Thank you guys. I got my hands on Kreyszig.

What I am missing now some useful link detailing

1) all the notations used in Functional analysis like the symbol for 'subset', 'is an element if', 'for all' etc etc. I see kreyszig has some notation but its not completely definitive?

2) A link to the equivalent Latex notation so i can write on this forum.

Thanks
 
1) I don't understand. Check his page 609 where he starts an appendix on set theory and has all the notations listed. What do you mean definitive ? Are there any inconsistencies ?

2) You can type on this forum using TEX/LATEX code. Search this forum or the internet for tutorials.

EDIT: Here's a free tutorial I found in my computer.
 

Attachments

ok, thanks dextercioby although I am waiting for that attachment to be approved that last few days :-)
 
bugatti79 said:
2) A link to the equivalent Latex notation so i can write on this forum.

Thanks

https://www.physicsforums.com/showthread.php?t=8997

& the kreyszig book is great. it does basic functional analysis & keeps the measure & topology to a minimum. the only topology that I remember off the top of my head is sequential compactness.
 
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